PyRoll Getting Started

This Notebook explains the basic usage of PyRoll. It is meant as a first getting started walktrough the basic functionalities.

Initialization and Configuration

Import the core library and a bunch of plugins. We assing pr as a shortcut to the PyRolL library to save typing efforts.

import pyroll.basic as pr

Import additional libraries and make some basic configuration.

import logging
import sys

logging.basicConfig(stream=sys.stdout, format='[%(levelname)s] %(name)s: %(message)s')
logging.getLogger("pyroll").setLevel(logging.INFO)

Definition of Initial Workpiece (Profile)

With the following class constructor on defines the state of the workpiece that is fed into the first unit of the rolling sequence. It holds geometrical values as well as material data.

The example case is a square-shaped profile that can originate for example from a continuous casting plant or from another rolling line.

in_profile = pr.Profile.square(
    side=45e-3,
    corner_radius=3e-3,
    temperature=1100 + 273.15,
    strain=0,
    material="C45",
    density=7.5e3,
    specific_heat_capacity=690,
)

The profile is automatically plotted and its properties are shown.

in_profile

SquareProfile classifiers 'diamond' 'square' corner_radius 0.003 cross_section Polygon area 0.0020172289364149133 height 0.061154328932550704 perimeter 0.17484198694172845 width 0.061154328932550704 density 7500.0 diagonal np.float64(0.06363961030678927) material 'C45' side 0.045 specific_heat_capacity 690 strain 0 t 0 temperature 1373.15

Simulating a First Roll Pass

First we want to simulate a single roll pass. For that we have to define the shape of the groove, the properties of the roll and of the pass itself.

The groove can be defined by creating a groove object. Here, the DiamondGroove class is used to create a groove of diamond type. We need its usable width, the tip depth (which is the tepth measured at the intersection of the flanks) and two radii, the first between roll face and flanks, the second at the tip. We inspect the grooves contour line and its properties.

groove1 = pr.DiamondGroove(
    usable_width=76.55e-3,
    tip_depth=22.1e-3,
    r1=12e-3,
    r2=8e-3,
)
groove1

DiamondGroove alpha1 np.float64(0.5236363668157296) alpha2 np.float64(0.5236363668157296) classifiers 'diamond' 'generic_elongation' contour_line LineString height 0.020862195195594648 length 0.12428942750252188 width 0.11360126410252692 depth np.float64(0.020862195195594648) flank_angle np.float64(0.5236363668157296) ground_width np.float64(0.004287509401684611) r1 0.012 r2 0.008 tip_angle None tip_depth 0.0221 usable_width 0.07655

Now we define the roll, where the groove is applied in. FOr now we need only one addtional property, the nominal radius. The nominal radius is the radius of the roll without groove. Again, we can directly inspect the properties of the created object.

roll1 = pr.Roll(
    groove=groove1,
    nominal_radius=328e-3,
)
roll1

Roll

groove

DiamondGroove alpha1 np.float64(0.5236363668157296) alpha2 np.float64(0.5236363668157296) classifiers 'diamond' 'generic_elongation' contour_line LineString height 0.020862195195594648 length 0.12428942750252188 width 0.11360126410252692 depth np.float64(0.020862195195594648) flank_angle np.float64(0.5236363668157296) ground_width np.float64(0.004287509401684611) r1 0.012 r2 0.008 tip_angle None tip_depth 0.0221 usable_width 0.07655

nominal_radius

0.328

The roll can now be used to define the pass. The upper and lower working rolls of the pass are equal, so we need only one. We add the height of the roll gap and the rolling velocity as additonal properties. Also, we give a label to the pass for human identification (probably the internal name of the groove or pass in your organisation).

Again, we can directly inspect the properties. We see the geometry of the roll pass within the high point (narrowest point), for now without information about material flow, since we simulated nothing unitl here.

pass1 = pr.RollPass(
    label="Diamond I",
    roll=roll1,
    gap=3e-3,
    velocity=1,
)
pass1

TwoRollPass 'Diamond I' classifiers 'symmetric' 'diamond' 'generic_elongation' contour_lines MultiLineString height 0.0447243903911893 length 0.24857885500504376 width 0.11360126410252692 convergence_history disk_elements engine TwoRollPass.Engine gap 0.003 global_iterator 1 in_profile None label 'Diamond I' out_profile None roll TwoRollPass.Roll contour_points array([[-5.68006321e-02, 0.00000000e+00], [-4.14906321e-02, 0.00000000e+00], [-4.11906125e-02, 3.75107461e-06], [-4.08905930e-02, 1.50113425e-05], [-4.05905735e-02, 3.38020023e-05], [-4.02905539e-02, 6.01586074e-05], [-3.99905344e-02, 9.41314051e-05], [-3.96905149e-02, 1.35785821e-04], [-3.93904953e-02, 1.85203103e-04], [-3.90904758e-02, 2.42481133e-04], [-3.87904563e-02, 3.07735434e-04], [-3.84904367e-02, 3.81100396e-04], [-3.81904172e-02, 4.62730744e-04], [-3.78903977e-02, 5.52803299e-04], [-3.75903781e-02, 6.51519075e-04], [-3.72903586e-02, 7.59105780e-04], [-3.69903391e-02, 8.75820795e-04], [-3.66903195e-02, 1.00195473e-03], [-3.63903000e-02, 1.13783572e-03], [-3.60902805e-02, 1.28383451e-03], [-3.57902609e-02, 1.44037079e-03], [-3.54902414e-02, 1.60792071e-03], [-4.00026044e-03, 1.97902481e-02], [-3.80024741e-03, 1.99019480e-02], [-3.60023439e-03, 2.00063055e-02], [-3.40022137e-03, 2.01036381e-02], [-3.20020835e-03, 2.01942254e-02], [-3.00019533e-03, 2.02783147e-02], [-2.80018231e-03, 2.03561247e-02], [-2.60016928e-03, 2.04278491e-02], [-2.40015626e-03, 2.04936597e-02], [-2.20014324e-03, 2.05537080e-02], [-2.00013022e-03, 2.06081283e-02], [-1.80011720e-03, 2.06570382e-02], [-1.60010417e-03, 2.07005411e-02], [-1.40009115e-03, 2.07387265e-02], [-1.20007813e-03, 2.07716713e-02], [-1.00006511e-03, 2.07994409e-02], [-8.00052087e-04, 2.08220895e-02], [-6.00039066e-04, 2.08396605e-02], [-4.00026044e-04, 2.08521876e-02], [-2.00013022e-04, 2.08596945e-02], [ 0.00000000e+00, 2.08621952e-02], [ 2.00013022e-04, 2.08596945e-02], [ 4.00026044e-04, 2.08521876e-02], [ 6.00039066e-04, 2.08396605e-02], [ 8.00052087e-04, 2.08220895e-02], [ 1.00006511e-03, 2.07994409e-02], [ 1.20007813e-03, 2.07716713e-02], [ 1.40009115e-03, 2.07387265e-02], [ 1.60010417e-03, 2.07005411e-02], [ 1.80011720e-03, 2.06570382e-02], [ 2.00013022e-03, 2.06081283e-02], [ 2.20014324e-03, 2.05537080e-02], [ 2.40015626e-03, 2.04936597e-02], [ 2.60016928e-03, 2.04278491e-02], [ 2.80018231e-03, 2.03561247e-02], [ 3.00019533e-03, 2.02783147e-02], [ 3.20020835e-03, 2.01942254e-02], [ 3.40022137e-03, 2.01036381e-02], [ 3.60023439e-03, 2.00063055e-02], [ 3.80024741e-03, 1.99019480e-02], [ 4.00026044e-03, 1.97902481e-02], [ 3.54902414e-02, 1.60792071e-03], [ 3.57902609e-02, 1.44037079e-03], [ 3.60902805e-02, 1.28383451e-03], [ 3.63903000e-02, 1.13783572e-03], [ 3.66903195e-02, 1.00195473e-03], [ 3.69903391e-02, 8.75820795e-04], [ 3.72903586e-02, 7.59105780e-04], [ 3.75903781e-02, 6.51519075e-04], [ 3.78903977e-02, 5.52803299e-04], [ 3.81904172e-02, 4.62730744e-04], [ 3.84904367e-02, 3.81100396e-04], [ 3.87904563e-02, 3.07735434e-04], [ 3.90904758e-02, 2.42481133e-04], [ 3.93904953e-02, 1.85203103e-04], [ 3.96905149e-02, 1.35785821e-04], [ 3.99905344e-02, 9.41314051e-05], [ 4.02905539e-02, 6.01586074e-05], [ 4.05905735e-02, 3.38020023e-05], [ 4.08905930e-02, 1.50113425e-05], [ 4.11906125e-02, 3.75107461e-06], [ 4.14906321e-02, 0.00000000e+00], [ 5.68006321e-02, 0.00000000e+00]]) groove DiamondGroove alpha1 np.float64(0.5236363668157296) alpha2 np.float64(0.5236363668157296) classifiers 'diamond' 'generic_elongation' contour_line LineString height 0.020862195195594648 length 0.12428942750252188 width 0.11360126410252692 depth np.float64(0.020862195195594648) flank_angle np.float64(0.5236363668157296) ground_width np.float64(0.004287509401684611) r1 0.012 r2 0.008 tip_angle None tip_depth 0.0221 usable_width 0.07655 nominal_radius 0.328 velocity 1

To actually simulate the roll pass, we use the solve method and give the input profile as argument. The state of the output profile is returned and we can directly inspect its properties.

pass1_out = pass1.solve(in_profile)
pass1_out

[INFO] pyroll.core.Unit: Started solving of TwoRollPass 'Diamond I'.

[INFO] pyroll.core.Unit: Started solving of Rotator 'Auto-Rotator for TwoRollPass 'Diamond I''.

[INFO] pyroll.core.Unit: Finished solving of Rotator 'Auto-Rotator for TwoRollPass 'Diamond I'' after 2 iterations.

[INFO] pyroll.core.Unit: Solution took 0.002 s.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[INFO] pyroll.core.Unit: Finished solving of TwoRollPass 'Diamond I' after 7 iterations.

[INFO] pyroll.core.Unit: Solution took 0.050 s.

Profile classifiers 'symmetric' 'diamond' 'generic_elongation' cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 cross_section_error -0.06535133698736628 cross_section_filling_ratio 0.9346486630126337 density 7500.0 filling_error np.float64(-0.14302189935900012) filling_ratio np.float64(0.8569781006409999) length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.20420123818243657) t np.float64(0.07056039637464354) technologically_orientated_cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 temperature np.float64(1373.4293291509712) velocity 1

When we now inspect the roll pass object again, we see lots of additional information calculated by the simulation. Note also, that the plot now includes the input and ouput profiles.

pass1

TwoRollPass 'Diamond I' abs_draught -0.008297025563206252 back_tension 0 bite_angle np.float64(0.23180570183111004) classifiers 'symmetric' 'diamond' 'generic_elongation' contact_area np.float64(0.006017544122059216) contour_lines MultiLineString height 0.0447243903911893 length 0.24857885500504376 width 0.11360126410252692 convergence_history {'iteration': 1, 'residuum': np.float64(nan), 'label': 'Diamond I'} {'iteration': 2, 'residuum': np.float64(143021899359.00012), 'label': 'Diamond I'} {'iteration': 3, 'residuum': np.float64(1.1916459595614128), 'label': 'Diamond I'} {'iteration': 4, 'residuum': np.float64(0.03060221149776742), 'label': 'Diamond I'} {'iteration': 5, 'residuum': np.float64(0.03060221149776739), 'label': 'Diamond I'} {'iteration': 6, 'residuum': np.float64(0.0012555867056617998), 'label': 'Diamond I'} {'iteration': 7, 'residuum': np.float64(0.00018168271662898365), 'label': 'Diamond I'} coulomb_friction_coefficient 0 deformation_heat_efficiency 0.95 deformation_resistance np.float64(115163851.1019629) disk_element_count 0 disk_elements displaced_cross_section MultiPolygon area 0.00032276382739222846 height 0.061154328932550704 perimeter 0.1955694335652799 width 0.03890114896397893 draught 0.811812546206698 duration np.float64(0.07056039637464354) elastic_gap_offset np.float64(3.465017776361598e-06) elongation 1.1263309319988397 elongation_efficiency 0.7009935493674799 engine TwoRollPass.Engine gear_box_efficiency 0.95 idle_torque 0 power np.float64(64810.919896563646) rotational_frequency np.float64(0.49884034233561403) spindle_efficiency 0.98 torque np.float64(20677.915141296202) entry_point np.float64(-0.07056039637464354) exit_point 0 front_tension 0 gap np.float64(0.0030000000000000027) global_iterator 8 height np.float64(0.0447243903911893) in_profile TwoRollPass.InProfile classifiers 'diamond' 'rotated' 'vertical' 'square' cross_section Polygon area 0.0020172289364149133 height 0.061154328932550704 perimeter 0.17484198694172845 width 0.061154328932550704 density 7500.0 equivalent_height 0.04408915363889981 equivalent_rectangle Polygon area 0.0026962426039910435 height 0.04408915363889981 perimeter 0.21048696514290102 width 0.061154328932550704 equivalent_width np.float64(0.061154328932550704) flow_stress np.float64(81622509.3265557) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) height np.float64(0.061154328932550704) lendl_section Polygon area 0.001715118733402595 height 0.061154328932550704 perimeter 0.1569269810699951 width 0.03890114896397893 length 0 material 'C45' specific_heat_capacity 690 strain 0 t 0 temperature 1373.15 velocity 0.8878385309239026 width np.float64(0.061154328932550704) inverse_forming_efficiency np.float64(1.2871314892268657) iteration_precision 0.001 label 'Diamond I' lendl_width 0.03890114896397893 length np.float64(0.07056039637464354) log_draught np.float64(-0.2084858198966925) log_elongation np.float64(0.11896538706902683) log_spread np.float64(0.0702005562255801) max_iteration_count 100 orientation 0 out_profile TwoRollPass.OutProfile classifiers 'symmetric' 'diamond' 'generic_elongation' cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 cross_section_error -0.06535133698736628 cross_section_filling_ratio 0.9346486630126337 density 7500.0 equivalent_height 0.035792128075693555 equivalent_rectangle Polygon area 0.0023480235036166665 height 0.035792128075693555 perimeter 0.20278760335952417 width 0.06560167360406854 equivalent_width np.float64(0.06560167360406854) filling_error np.float64(-0.14302189935900012) filling_ratio np.float64(0.8569781006409999) flow_stress np.float64(93400042.52914265) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) lendl_section Polygon area 0.0013923549060103674 height 0.0447243903911893 perimeter 0.13759629786652613 width 0.03890114896397893 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.20420123818243657) t np.float64(0.07056039637464354) technologically_orientated_cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 temperature np.float64(1373.4293291509712) velocity 1 width np.float64(0.06560167360406854) passed_gripping_condition False power np.float64(60338.96642370076) reappearing_cross_section MultiPolygon area 9.650846642111757e-05 height 0.024738461342810342 perimeter 0.14190125974737275 width 0.06560167360406854 rel_draught -0.18818745379330204 roll TwoRollPass.Roll contact_area np.float64(0.003008772061029608) contact_heat_transfer_coefficient 6000.0 contact_length np.float64(0.07056039637464354) contour_points array([[-5.68006321e-02, 0.00000000e+00], [-4.14906321e-02, 0.00000000e+00], [-4.11906125e-02, 3.75107461e-06], [-4.08905930e-02, 1.50113425e-05], [-4.05905735e-02, 3.38020023e-05], [-4.02905539e-02, 6.01586074e-05], [-3.99905344e-02, 9.41314051e-05], [-3.96905149e-02, 1.35785821e-04], [-3.93904953e-02, 1.85203103e-04], [-3.90904758e-02, 2.42481133e-04], [-3.87904563e-02, 3.07735434e-04], [-3.84904367e-02, 3.81100396e-04], [-3.81904172e-02, 4.62730744e-04], [-3.78903977e-02, 5.52803299e-04], [-3.75903781e-02, 6.51519075e-04], [-3.72903586e-02, 7.59105780e-04], [-3.69903391e-02, 8.75820795e-04], [-3.66903195e-02, 1.00195473e-03], [-3.63903000e-02, 1.13783572e-03], [-3.60902805e-02, 1.28383451e-03], [-3.57902609e-02, 1.44037079e-03], [-3.54902414e-02, 1.60792071e-03], [-4.00026044e-03, 1.97902481e-02], [-3.80024741e-03, 1.99019480e-02], [-3.60023439e-03, 2.00063055e-02], [-3.40022137e-03, 2.01036381e-02], [-3.20020835e-03, 2.01942254e-02], [-3.00019533e-03, 2.02783147e-02], [-2.80018231e-03, 2.03561247e-02], [-2.60016928e-03, 2.04278491e-02], [-2.40015626e-03, 2.04936597e-02], [-2.20014324e-03, 2.05537080e-02], [-2.00013022e-03, 2.06081283e-02], [-1.80011720e-03, 2.06570382e-02], [-1.60010417e-03, 2.07005411e-02], [-1.40009115e-03, 2.07387265e-02], [-1.20007813e-03, 2.07716713e-02], [-1.00006511e-03, 2.07994409e-02], [-8.00052087e-04, 2.08220895e-02], [-6.00039066e-04, 2.08396605e-02], [-4.00026044e-04, 2.08521876e-02], [-2.00013022e-04, 2.08596945e-02], [ 0.00000000e+00, 2.08621952e-02], [ 2.00013022e-04, 2.08596945e-02], [ 4.00026044e-04, 2.08521876e-02], [ 6.00039066e-04, 2.08396605e-02], [ 8.00052087e-04, 2.08220895e-02], [ 1.00006511e-03, 2.07994409e-02], [ 1.20007813e-03, 2.07716713e-02], [ 1.40009115e-03, 2.07387265e-02], [ 1.60010417e-03, 2.07005411e-02], [ 1.80011720e-03, 2.06570382e-02], [ 2.00013022e-03, 2.06081283e-02], [ 2.20014324e-03, 2.05537080e-02], [ 2.40015626e-03, 2.04936597e-02], [ 2.60016928e-03, 2.04278491e-02], [ 2.80018231e-03, 2.03561247e-02], [ 3.00019533e-03, 2.02783147e-02], [ 3.20020835e-03, 2.01942254e-02], [ 3.40022137e-03, 2.01036381e-02], [ 3.60023439e-03, 2.00063055e-02], [ 3.80024741e-03, 1.99019480e-02], [ 4.00026044e-03, 1.97902481e-02], [ 3.54902414e-02, 1.60792071e-03], [ 3.57902609e-02, 1.44037079e-03], [ 3.60902805e-02, 1.28383451e-03], [ 3.63903000e-02, 1.13783572e-03], [ 3.66903195e-02, 1.00195473e-03], [ 3.69903391e-02, 8.75820795e-04], [ 3.72903586e-02, 7.59105780e-04], [ 3.75903781e-02, 6.51519075e-04], [ 3.78903977e-02, 5.52803299e-04], [ 3.81904172e-02, 4.62730744e-04], [ 3.84904367e-02, 3.81100396e-04], [ 3.87904563e-02, 3.07735434e-04], [ 3.90904758e-02, 2.42481133e-04], [ 3.93904953e-02, 1.85203103e-04], [ 3.96905149e-02, 1.35785821e-04], [ 3.99905344e-02, 9.41314051e-05], [ 4.02905539e-02, 6.01586074e-05], [ 4.05905735e-02, 3.38020023e-05], [ 4.08905930e-02, 1.50113425e-05], [ 4.11906125e-02, 3.75107461e-06], [ 4.14906321e-02, 0.00000000e+00], [ 5.68006321e-02, 0.00000000e+00]]) entry_angle np.float64(-0.2221144454231247) groove DiamondGroove alpha1 np.float64(0.5236363668157296) alpha2 np.float64(0.5236363668157296) classifiers 'diamond' 'generic_elongation' contour_line LineString height 0.020862195195594648 length 0.12428942750252188 width 0.11360126410252692 depth np.float64(0.020862195195594648) flank_angle np.float64(0.5236363668157296) ground_width np.float64(0.004287509401684611) r1 0.012 r2 0.008 tip_angle None tip_depth 0.0221 usable_width 0.07655 max_radius 0.328 min_radius 0.3071378048044054 neutral_angle np.float64(-0.08848788138523545) nominal_radius 0.328 relative_neutral_angle np.float64(0.3983886829902817) roll_power np.float64(30169.48321185038) roll_torque np.float64(9625.569498273382) rotational_frequency np.float64(0.49884034233561403) temperature 293.15 working_radius 0.32030304866385906 working_velocity np.float64(1.0039278664085476) roll_force np.float64(346501.7776361598) roll_torque_loss_function np.float64(0.6313372329443293) rotation True spread 1.0727233010180355 stand_stiffness 100000000000.0 strain np.float64(0.20420123818243657) strain_rate np.float64(2.8939922204833017) target_cross_section_area 0.001916199793910789 target_filling_ratio 1.0 target_width 0.07655 technologically_orientated_contour_lines MultiLineString height 0.0447243903911893 length 0.24857885500504376 width 0.11360126410252692 temperature_change np.float64(0.27932915097110644) temperature_change_by_contact np.float64(-4.037728035393078) temperature_change_by_deformation np.float64(4.317057186364185) usable_cross_section Polygon area 0.001916199793910789 height 0.0447243903911893 perimeter 0.18207551252845486 width 0.07655 usable_width 0.07655 velocity 1 volume np.float64(0.00013169336136383052) wusatowski_exponent np.float64(0.4004022972250601) wusatowski_friction_coefficient 1 wusatowski_material_coefficient 1 wusatowski_temperature_coefficient 1 wusatowski_velocity_coefficient 0.9868101140877441 zouhar_contact_c1 1 zouhar_contact_c2 0.3 zouhar_contact_c3 1 zouhar_contact_in_width 4.076000565201058e-11

Simulating a Pass Sequence

Simulating each pass distinctly is a bit cumbersome. But we can combine several passes in a pass sequence. Lets define first a second pass, this time with a square-type groove. The roll and pass are defined as above.

groove2 = pr.SquareGroove(
    usable_width=52.7e-3,
    tip_depth=25.95e-3,
    r1=8e-3,
    r2=6e-3
)
groove2

SquareGroove alpha1 np.float64(0.7777501289619068) alpha2 np.float64(0.7777501289619068) classifiers 'diamond' 'square' 'generic_elongation' contour_line LineString height 0.02352887675368554 length 0.09844743716085605 width 0.08033584817370697 depth np.float64(0.02352887675368554) flank_angle np.float64(0.7777501289619068) ground_width np.float64(0.004916886130280226) r1 0.008 r2 0.006 tip_angle None tip_depth 0.02595 usable_width 0.0527

roll2 = pr.Roll(
    groove=groove2,
    nominal_radius=328e-3,
)
roll2

Roll

groove

SquareGroove alpha1 np.float64(0.7777501289619068) alpha2 np.float64(0.7777501289619068) classifiers 'diamond' 'square' 'generic_elongation' contour_line LineString height 0.02352887675368554 length 0.09844743716085605 width 0.08033584817370697 depth np.float64(0.02352887675368554) flank_angle np.float64(0.7777501289619068) ground_width np.float64(0.004916886130280226) r1 0.008 r2 0.006 tip_angle None tip_depth 0.02595 usable_width 0.0527

nominal_radius

0.328

pass2 = pr.RollPass(
    label="Square II",
    roll=roll2,
    gap=3e-3,
    velocity=1,
)
pass2

TwoRollPass 'Square II' classifiers 'symmetric' 'diamond' 'square' 'generic_elongation' contour_lines MultiLineString height 0.050057753507371086 length 0.1968948743217121 width 0.08033584817370697 convergence_history disk_elements engine TwoRollPass.Engine gap 0.003 global_iterator 1 in_profile None label 'Square II' out_profile None roll TwoRollPass.Roll contour_points array([[-4.01679241e-02, 0.00000000e+00], [-2.96279241e-02, 0.00000000e+00], [-2.93472528e-02, 4.92503864e-06], [-2.90665815e-02, 1.97183915e-05], [-2.87859103e-02, 4.44351087e-05], [-2.85052390e-02, 7.91680863e-05], [-2.82245677e-02, 1.24049839e-04], [-2.79438965e-02, 1.79255089e-04], [-2.76632252e-02, 2.45004304e-04], [-2.73825539e-02, 3.21568336e-04], [-2.71018827e-02, 4.09274431e-04], [-2.68212114e-02, 5.08513914e-04], [-2.65405401e-02, 6.19752025e-04], [-2.62598688e-02, 7.43540544e-04], [-2.59791976e-02, 8.80534094e-04], [-2.56985263e-02, 1.03151143e-03], [-2.54178550e-02, 1.19740355e-03], [-2.51371838e-02, 1.37933151e-03], [-2.48565125e-02, 1.57865814e-03], [-2.45758412e-02, 1.79706048e-03], [-2.42951699e-02, 2.03663407e-03], [-2.40144987e-02, 2.30004780e-03], [-4.21006906e-03, 2.18038409e-02], [-3.99956561e-03, 2.20014012e-02], [-3.78906215e-03, 2.21810814e-02], [-3.57855870e-03, 2.23448832e-02], [-3.36805525e-03, 2.24943781e-02], [-3.15755180e-03, 2.26308241e-02], [-2.94704834e-03, 2.27552432e-02], [-2.73654489e-03, 2.28684762e-02], [-2.52604144e-03, 2.29712213e-02], [-2.31553798e-03, 2.30640627e-02], [-2.10503453e-03, 2.31474913e-02], [-1.89453108e-03, 2.32219209e-02], [-1.68402762e-03, 2.32877005e-02], [-1.47352417e-03, 2.33451235e-02], [-1.26302072e-03, 2.33944354e-02], [-1.05251727e-03, 2.34358394e-02], [-8.42013812e-04, 2.34695007e-02], [-6.31510359e-04, 2.34955504e-02], [-4.21006906e-04, 2.35140880e-02], [-2.10503453e-04, 2.35251830e-02], [ 0.00000000e+00, 2.35288768e-02], [ 2.10503453e-04, 2.35251830e-02], [ 4.21006906e-04, 2.35140880e-02], [ 6.31510359e-04, 2.34955504e-02], [ 8.42013812e-04, 2.34695007e-02], [ 1.05251727e-03, 2.34358394e-02], [ 1.26302072e-03, 2.33944354e-02], [ 1.47352417e-03, 2.33451235e-02], [ 1.68402762e-03, 2.32877005e-02], [ 1.89453108e-03, 2.32219209e-02], [ 2.10503453e-03, 2.31474913e-02], [ 2.31553798e-03, 2.30640627e-02], [ 2.52604144e-03, 2.29712213e-02], [ 2.73654489e-03, 2.28684762e-02], [ 2.94704834e-03, 2.27552432e-02], [ 3.15755180e-03, 2.26308241e-02], [ 3.36805525e-03, 2.24943781e-02], [ 3.57855870e-03, 2.23448832e-02], [ 3.78906215e-03, 2.21810814e-02], [ 3.99956561e-03, 2.20014012e-02], [ 4.21006906e-03, 2.18038409e-02], [ 2.40144987e-02, 2.30004780e-03], [ 2.42951699e-02, 2.03663407e-03], [ 2.45758412e-02, 1.79706048e-03], [ 2.48565125e-02, 1.57865814e-03], [ 2.51371838e-02, 1.37933151e-03], [ 2.54178550e-02, 1.19740355e-03], [ 2.56985263e-02, 1.03151143e-03], [ 2.59791976e-02, 8.80534094e-04], [ 2.62598688e-02, 7.43540544e-04], [ 2.65405401e-02, 6.19752025e-04], [ 2.68212114e-02, 5.08513914e-04], [ 2.71018827e-02, 4.09274431e-04], [ 2.73825539e-02, 3.21568336e-04], [ 2.76632252e-02, 2.45004304e-04], [ 2.79438965e-02, 1.79255089e-04], [ 2.82245677e-02, 1.24049839e-04], [ 2.85052390e-02, 7.91680863e-05], [ 2.87859103e-02, 4.44351087e-05], [ 2.90665815e-02, 1.97183915e-05], [ 2.93472528e-02, 4.92503864e-06], [ 2.96279241e-02, 0.00000000e+00], [ 4.01679241e-02, 0.00000000e+00]]) groove SquareGroove alpha1 np.float64(0.7777501289619068) alpha2 np.float64(0.7777501289619068) classifiers 'diamond' 'square' 'generic_elongation' contour_line LineString height 0.02352887675368554 length 0.09844743716085605 width 0.08033584817370697 depth np.float64(0.02352887675368554) flank_angle np.float64(0.7777501289619068) ground_width np.float64(0.004916886130280226) r1 0.008 r2 0.006 tip_angle None tip_depth 0.02595 usable_width 0.0527 nominal_radius 0.328 velocity 1

We can now use both passes to create a pass sequence.

sequence = pr.PassSequence([
    pass1,
    pass2
])

When we inspect the sequence, we will notice that the first pass is already filled with solution data, since we reused the object from above.

sequence

PassSequence

convergence_history
global_iterator	1
in_profile	None
label	''
out_profile	None
units	TwoRollPass 'Diamond I' abs_draught -0.008297025563206252 back_tension 0 bite_angle np.float64(0.23180570183111004) classifiers 'symmetric' 'diamond' 'generic_elongation' contact_area np.float64(0.006017544122059216) contour_lines MultiLineString height 0.0447243903911893 length 0.24857885500504376 width 0.11360126410252692 convergence_history {'iteration': 1, 'residuum': np.float64(nan), 'label': 'Diamond I'} {'iteration': 2, 'residuum': np.float64(143021899359.00012), 'label': 'Diamond I'} {'iteration': 3, 'residuum': np.float64(1.1916459595614128), 'label': 'Diamond I'} {'iteration': 4, 'residuum': np.float64(0.03060221149776742), 'label': 'Diamond I'} {'iteration': 5, 'residuum': np.float64(0.03060221149776739), 'label': 'Diamond I'} {'iteration': 6, 'residuum': np.float64(0.0012555867056617998), 'label': 'Diamond I'} {'iteration': 7, 'residuum': np.float64(0.00018168271662898365), 'label': 'Diamond I'} coulomb_friction_coefficient 0 deformation_heat_efficiency 0.95 deformation_resistance np.float64(115163851.1019629) disk_element_count 0 disk_elements displaced_cross_section MultiPolygon area 0.00032276382739222846 height 0.061154328932550704 perimeter 0.1955694335652799 width 0.03890114896397893 draught 0.811812546206698 duration np.float64(0.07056039637464354) elastic_gap_offset np.float64(3.465017776361598e-06) elongation 1.1263309319988397 elongation_efficiency 0.7009935493674799 engine TwoRollPass.Engine gear_box_efficiency 0.95 idle_torque 0 power np.float64(64810.919896563646) rotational_frequency np.float64(0.49884034233561403) spindle_efficiency 0.98 torque np.float64(20677.915141296202) entry_point np.float64(-0.07056039637464354) exit_point 0 front_tension 0 gap np.float64(0.0030000000000000027) global_iterator 8 height np.float64(0.0447243903911893) in_profile TwoRollPass.InProfile classifiers 'diamond' 'rotated' 'vertical' 'square' cross_section Polygon area 0.0020172289364149133 height 0.061154328932550704 perimeter 0.17484198694172845 width 0.061154328932550704 density 7500.0 equivalent_height 0.04408915363889981 equivalent_rectangle Polygon area 0.0026962426039910435 height 0.04408915363889981 perimeter 0.21048696514290102 width 0.061154328932550704 equivalent_width np.float64(0.061154328932550704) flow_stress np.float64(81622509.3265557) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) height np.float64(0.061154328932550704) lendl_section Polygon area 0.001715118733402595 height 0.061154328932550704 perimeter 0.1569269810699951 width 0.03890114896397893 length 0 material 'C45' specific_heat_capacity 690 strain 0 t 0 temperature 1373.15 velocity 0.8878385309239026 width np.float64(0.061154328932550704) inverse_forming_efficiency np.float64(1.2871314892268657) iteration_precision 0.001 label 'Diamond I' lendl_width 0.03890114896397893 length np.float64(0.07056039637464354) log_draught np.float64(-0.2084858198966925) log_elongation np.float64(0.11896538706902683) log_spread np.float64(0.0702005562255801) max_iteration_count 100 orientation 0 out_profile TwoRollPass.OutProfile classifiers 'symmetric' 'diamond' 'generic_elongation' cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 cross_section_error -0.06535133698736628 cross_section_filling_ratio 0.9346486630126337 density 7500.0 equivalent_height 0.035792128075693555 equivalent_rectangle Polygon area 0.0023480235036166665 height 0.035792128075693555 perimeter 0.20278760335952417 width 0.06560167360406854 equivalent_width np.float64(0.06560167360406854) filling_error np.float64(-0.14302189935900012) filling_ratio np.float64(0.8569781006409999) flow_stress np.float64(93400042.52914265) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) lendl_section Polygon area 0.0013923549060103674 height 0.0447243903911893 perimeter 0.13759629786652613 width 0.03890114896397893 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.20420123818243657) t np.float64(0.07056039637464354) technologically_orientated_cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 temperature np.float64(1373.4293291509712) velocity 1 width np.float64(0.06560167360406854) passed_gripping_condition False power np.float64(60338.96642370076) reappearing_cross_section MultiPolygon area 9.650846642111757e-05 height 0.024738461342810342 perimeter 0.14190125974737275 width 0.06560167360406854 rel_draught -0.18818745379330204 roll TwoRollPass.Roll contact_area np.float64(0.003008772061029608) contact_heat_transfer_coefficient 6000.0 contact_length np.float64(0.07056039637464354) contour_points array([[-5.68006321e-02, 0.00000000e+00], [-4.14906321e-02, 0.00000000e+00], [-4.11906125e-02, 3.75107461e-06], [-4.08905930e-02, 1.50113425e-05], [-4.05905735e-02, 3.38020023e-05], [-4.02905539e-02, 6.01586074e-05], [-3.99905344e-02, 9.41314051e-05], [-3.96905149e-02, 1.35785821e-04], [-3.93904953e-02, 1.85203103e-04], [-3.90904758e-02, 2.42481133e-04], [-3.87904563e-02, 3.07735434e-04], [-3.84904367e-02, 3.81100396e-04], [-3.81904172e-02, 4.62730744e-04], [-3.78903977e-02, 5.52803299e-04], [-3.75903781e-02, 6.51519075e-04], [-3.72903586e-02, 7.59105780e-04], [-3.69903391e-02, 8.75820795e-04], [-3.66903195e-02, 1.00195473e-03], [-3.63903000e-02, 1.13783572e-03], [-3.60902805e-02, 1.28383451e-03], [-3.57902609e-02, 1.44037079e-03], [-3.54902414e-02, 1.60792071e-03], [-4.00026044e-03, 1.97902481e-02], [-3.80024741e-03, 1.99019480e-02], [-3.60023439e-03, 2.00063055e-02], [-3.40022137e-03, 2.01036381e-02], [-3.20020835e-03, 2.01942254e-02], [-3.00019533e-03, 2.02783147e-02], [-2.80018231e-03, 2.03561247e-02], [-2.60016928e-03, 2.04278491e-02], [-2.40015626e-03, 2.04936597e-02], [-2.20014324e-03, 2.05537080e-02], [-2.00013022e-03, 2.06081283e-02], [-1.80011720e-03, 2.06570382e-02], [-1.60010417e-03, 2.07005411e-02], [-1.40009115e-03, 2.07387265e-02], [-1.20007813e-03, 2.07716713e-02], [-1.00006511e-03, 2.07994409e-02], [-8.00052087e-04, 2.08220895e-02], [-6.00039066e-04, 2.08396605e-02], [-4.00026044e-04, 2.08521876e-02], [-2.00013022e-04, 2.08596945e-02], [ 0.00000000e+00, 2.08621952e-02], [ 2.00013022e-04, 2.08596945e-02], [ 4.00026044e-04, 2.08521876e-02], [ 6.00039066e-04, 2.08396605e-02], [ 8.00052087e-04, 2.08220895e-02], [ 1.00006511e-03, 2.07994409e-02], [ 1.20007813e-03, 2.07716713e-02], [ 1.40009115e-03, 2.07387265e-02], [ 1.60010417e-03, 2.07005411e-02], [ 1.80011720e-03, 2.06570382e-02], [ 2.00013022e-03, 2.06081283e-02], [ 2.20014324e-03, 2.05537080e-02], [ 2.40015626e-03, 2.04936597e-02], [ 2.60016928e-03, 2.04278491e-02], [ 2.80018231e-03, 2.03561247e-02], [ 3.00019533e-03, 2.02783147e-02], [ 3.20020835e-03, 2.01942254e-02], [ 3.40022137e-03, 2.01036381e-02], [ 3.60023439e-03, 2.00063055e-02], [ 3.80024741e-03, 1.99019480e-02], [ 4.00026044e-03, 1.97902481e-02], [ 3.54902414e-02, 1.60792071e-03], [ 3.57902609e-02, 1.44037079e-03], [ 3.60902805e-02, 1.28383451e-03], [ 3.63903000e-02, 1.13783572e-03], [ 3.66903195e-02, 1.00195473e-03], [ 3.69903391e-02, 8.75820795e-04], [ 3.72903586e-02, 7.59105780e-04], [ 3.75903781e-02, 6.51519075e-04], [ 3.78903977e-02, 5.52803299e-04], [ 3.81904172e-02, 4.62730744e-04], [ 3.84904367e-02, 3.81100396e-04], [ 3.87904563e-02, 3.07735434e-04], [ 3.90904758e-02, 2.42481133e-04], [ 3.93904953e-02, 1.85203103e-04], [ 3.96905149e-02, 1.35785821e-04], [ 3.99905344e-02, 9.41314051e-05], [ 4.02905539e-02, 6.01586074e-05], [ 4.05905735e-02, 3.38020023e-05], [ 4.08905930e-02, 1.50113425e-05], [ 4.11906125e-02, 3.75107461e-06], [ 4.14906321e-02, 0.00000000e+00], [ 5.68006321e-02, 0.00000000e+00]]) entry_angle np.float64(-0.2221144454231247) groove DiamondGroove alpha1 np.float64(0.5236363668157296) alpha2 np.float64(0.5236363668157296) classifiers 'diamond' 'generic_elongation' contour_line LineString height 0.020862195195594648 length 0.12428942750252188 width 0.11360126410252692 depth np.float64(0.020862195195594648) flank_angle np.float64(0.5236363668157296) ground_width np.float64(0.004287509401684611) r1 0.012 r2 0.008 tip_angle None tip_depth 0.0221 usable_width 0.07655 max_radius 0.328 min_radius 0.3071378048044054 neutral_angle np.float64(-0.08848788138523545) nominal_radius 0.328 relative_neutral_angle np.float64(0.3983886829902817) roll_power np.float64(30169.48321185038) roll_torque np.float64(9625.569498273382) rotational_frequency np.float64(0.49884034233561403) temperature 293.15 working_radius 0.32030304866385906 working_velocity np.float64(1.0039278664085476) roll_force np.float64(346501.7776361598) roll_torque_loss_function np.float64(0.6313372329443293) rotation True spread 1.0727233010180355 stand_stiffness 100000000000.0 strain np.float64(0.20420123818243657) strain_rate np.float64(2.8939922204833017) target_cross_section_area 0.001916199793910789 target_filling_ratio 1.0 target_width 0.07655 technologically_orientated_contour_lines MultiLineString height 0.0447243903911893 length 0.24857885500504376 width 0.11360126410252692 temperature_change np.float64(0.27932915097110644) temperature_change_by_contact np.float64(-4.037728035393078) temperature_change_by_deformation np.float64(4.317057186364185) usable_cross_section Polygon area 0.001916199793910789 height 0.0447243903911893 perimeter 0.18207551252845486 width 0.07655 usable_width 0.07655 velocity 1 volume np.float64(0.00013169336136383052) wusatowski_exponent np.float64(0.4004022972250601) wusatowski_friction_coefficient 1 wusatowski_material_coefficient 1 wusatowski_temperature_coefficient 1 wusatowski_velocity_coefficient 0.9868101140877441 zouhar_contact_c1 1 zouhar_contact_c2 0.3 zouhar_contact_c3 1 zouhar_contact_in_width 4.076000565201058e-11 TwoRollPass 'Square II' classifiers 'symmetric' 'diamond' 'square' 'generic_elongation' contour_lines MultiLineString height 0.050057753507371086 length 0.1968948743217121 width 0.08033584817370697 convergence_history disk_elements engine TwoRollPass.Engine gap 0.003 global_iterator 1 in_profile None label 'Square II' orientation 0 out_profile None roll TwoRollPass.Roll contour_points array([[-4.01679241e-02, 0.00000000e+00], [-2.96279241e-02, 0.00000000e+00], [-2.93472528e-02, 4.92503864e-06], [-2.90665815e-02, 1.97183915e-05], [-2.87859103e-02, 4.44351087e-05], [-2.85052390e-02, 7.91680863e-05], [-2.82245677e-02, 1.24049839e-04], [-2.79438965e-02, 1.79255089e-04], [-2.76632252e-02, 2.45004304e-04], [-2.73825539e-02, 3.21568336e-04], [-2.71018827e-02, 4.09274431e-04], [-2.68212114e-02, 5.08513914e-04], [-2.65405401e-02, 6.19752025e-04], [-2.62598688e-02, 7.43540544e-04], [-2.59791976e-02, 8.80534094e-04], [-2.56985263e-02, 1.03151143e-03], [-2.54178550e-02, 1.19740355e-03], [-2.51371838e-02, 1.37933151e-03], [-2.48565125e-02, 1.57865814e-03], [-2.45758412e-02, 1.79706048e-03], [-2.42951699e-02, 2.03663407e-03], [-2.40144987e-02, 2.30004780e-03], [-4.21006906e-03, 2.18038409e-02], [-3.99956561e-03, 2.20014012e-02], [-3.78906215e-03, 2.21810814e-02], [-3.57855870e-03, 2.23448832e-02], [-3.36805525e-03, 2.24943781e-02], [-3.15755180e-03, 2.26308241e-02], [-2.94704834e-03, 2.27552432e-02], [-2.73654489e-03, 2.28684762e-02], [-2.52604144e-03, 2.29712213e-02], [-2.31553798e-03, 2.30640627e-02], [-2.10503453e-03, 2.31474913e-02], [-1.89453108e-03, 2.32219209e-02], [-1.68402762e-03, 2.32877005e-02], [-1.47352417e-03, 2.33451235e-02], [-1.26302072e-03, 2.33944354e-02], [-1.05251727e-03, 2.34358394e-02], [-8.42013812e-04, 2.34695007e-02], [-6.31510359e-04, 2.34955504e-02], [-4.21006906e-04, 2.35140880e-02], [-2.10503453e-04, 2.35251830e-02], [ 0.00000000e+00, 2.35288768e-02], [ 2.10503453e-04, 2.35251830e-02], [ 4.21006906e-04, 2.35140880e-02], [ 6.31510359e-04, 2.34955504e-02], [ 8.42013812e-04, 2.34695007e-02], [ 1.05251727e-03, 2.34358394e-02], [ 1.26302072e-03, 2.33944354e-02], [ 1.47352417e-03, 2.33451235e-02], [ 1.68402762e-03, 2.32877005e-02], [ 1.89453108e-03, 2.32219209e-02], [ 2.10503453e-03, 2.31474913e-02], [ 2.31553798e-03, 2.30640627e-02], [ 2.52604144e-03, 2.29712213e-02], [ 2.73654489e-03, 2.28684762e-02], [ 2.94704834e-03, 2.27552432e-02], [ 3.15755180e-03, 2.26308241e-02], [ 3.36805525e-03, 2.24943781e-02], [ 3.57855870e-03, 2.23448832e-02], [ 3.78906215e-03, 2.21810814e-02], [ 3.99956561e-03, 2.20014012e-02], [ 4.21006906e-03, 2.18038409e-02], [ 2.40144987e-02, 2.30004780e-03], [ 2.42951699e-02, 2.03663407e-03], [ 2.45758412e-02, 1.79706048e-03], [ 2.48565125e-02, 1.57865814e-03], [ 2.51371838e-02, 1.37933151e-03], [ 2.54178550e-02, 1.19740355e-03], [ 2.56985263e-02, 1.03151143e-03], [ 2.59791976e-02, 8.80534094e-04], [ 2.62598688e-02, 7.43540544e-04], [ 2.65405401e-02, 6.19752025e-04], [ 2.68212114e-02, 5.08513914e-04], [ 2.71018827e-02, 4.09274431e-04], [ 2.73825539e-02, 3.21568336e-04], [ 2.76632252e-02, 2.45004304e-04], [ 2.79438965e-02, 1.79255089e-04], [ 2.82245677e-02, 1.24049839e-04], [ 2.85052390e-02, 7.91680863e-05], [ 2.87859103e-02, 4.44351087e-05], [ 2.90665815e-02, 1.97183915e-05], [ 2.93472528e-02, 4.92503864e-06], [ 2.96279241e-02, 0.00000000e+00], [ 4.01679241e-02, 0.00000000e+00]]) groove SquareGroove alpha1 np.float64(0.7777501289619068) alpha2 np.float64(0.7777501289619068) classifiers 'diamond' 'square' 'generic_elongation' contour_line LineString height 0.02352887675368554 length 0.09844743716085605 width 0.08033584817370697 depth np.float64(0.02352887675368554) flank_angle np.float64(0.7777501289619068) ground_width np.float64(0.004916886130280226) r1 0.008 r2 0.006 tip_angle None tip_depth 0.02595 usable_width 0.0527 nominal_radius 0.328 velocity 1

We can simulate the pass sequence in the same way as the roll pass.

sequence.solve(in_profile)

[INFO] pyroll.core.Unit: Started solving of PassSequence.

[INFO] pyroll.core.Unit: Started solving of TwoRollPass 'Diamond I'.

[INFO] pyroll.core.Unit: Started solving of Rotator 'Auto-Rotator for TwoRollPass 'Diamond I''.

[INFO] pyroll.core.Unit: Finished solving of Rotator 'Auto-Rotator for TwoRollPass 'Diamond I'' after 2 iterations.

[INFO] pyroll.core.Unit: Solution took 0.002 s.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[INFO] pyroll.core.Unit: Finished solving of TwoRollPass 'Diamond I' after 5 iterations.

[INFO] pyroll.core.Unit: Solution took 0.035 s.

[INFO] pyroll.core.Unit: Started solving of TwoRollPass 'Square II'.

[INFO] pyroll.core.Unit: Started solving of Rotator 'Auto-Rotator for TwoRollPass 'Square II''.

[INFO] pyroll.core.Unit: Finished solving of Rotator 'Auto-Rotator for TwoRollPass 'Square II'' after 2 iterations.

[INFO] pyroll.core.Unit: Solution took 0.001 s.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[INFO] pyroll.core.Unit: Finished solving of TwoRollPass 'Square II' after 6 iterations.

[INFO] pyroll.core.Unit: Solution took 0.039 s.

[INFO] pyroll.core.Unit: Started solving of TwoRollPass 'Diamond I'.

[INFO] pyroll.core.Unit: Started solving of Rotator 'Auto-Rotator for TwoRollPass 'Diamond I''.

[INFO] pyroll.core.Unit: Finished solving of Rotator 'Auto-Rotator for TwoRollPass 'Diamond I'' after 2 iterations.

[INFO] pyroll.core.Unit: Solution took 0.001 s.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[INFO] pyroll.core.Unit: Finished solving of TwoRollPass 'Diamond I' after 5 iterations.

[INFO] pyroll.core.Unit: Solution took 0.033 s.

[INFO] pyroll.core.Unit: Started solving of TwoRollPass 'Square II'.

[INFO] pyroll.core.Unit: Started solving of Rotator 'Auto-Rotator for TwoRollPass 'Square II''.

[INFO] pyroll.core.Unit: Finished solving of Rotator 'Auto-Rotator for TwoRollPass 'Square II'' after 2 iterations.

[INFO] pyroll.core.Unit: Solution took 0.002 s.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[INFO] pyroll.core.Unit: Finished solving of TwoRollPass 'Square II' after 5 iterations.

[INFO] pyroll.core.Unit: Solution took 0.032 s.

[INFO] pyroll.core.Unit: Finished solving of PassSequence after 2 iterations.

[INFO] pyroll.core.Unit: Solution took 0.148 s.

Profile classifiers 'symmetric' 'diamond' 'square' 'generic_elongation' cross_section Polygon area 0.0014981782903678085 height 0.050057753507371086 perimeter 0.14608035422764684 width 0.05027060646412056 density 7500.0 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.4690768459414539) t np.float64(0.1389144119735775) temperature np.float64(1375.9226036590123)

… and inspect the results accordingly.

sequence

PassSequence

convergence_history	{'iteration': 1, 'residuum': np.float64(nan), 'label': ''} {'iteration': 2, 'residuum': np.float64(1.577682298836683e-05), 'label': ''}
duration	np.float64(0.1389144119735775)
elongation	1.3464545237267294
global_iterator	3
in_profile	PassSequence.InProfile classifiers 'diamond' 'square' cross_section Polygon area 0.0020172289364149133 height 0.061154328932550704 perimeter 0.17484198694172845 width 0.061154328932550704 density 7500.0 material 'C45' specific_heat_capacity 690 strain 0 t 0 temperature 1373.15
iteration_precision	0.001
label	''
log_elongation	np.float64(0.2974748590094061)
max_iteration_count	100
out_profile	PassSequence.OutProfile classifiers 'symmetric' 'diamond' 'square' 'generic_elongation' cross_section Polygon area 0.0014981782903678085 height 0.050057753507371086 perimeter 0.14608035422764684 width 0.05027060646412056 density 7500.0 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.4690768459414539) t np.float64(0.1389144119735775) temperature np.float64(1375.9226036590123)
power	np.float64(119537.56242272351)
units	TwoRollPass 'Diamond I' abs_draught -0.008297025563206252 back_tension 0 bite_angle np.float64(0.23180570183111004) classifiers 'symmetric' 'diamond' 'generic_elongation' contact_area np.float64(0.006017544122059216) contour_lines MultiLineString height 0.0447243903911893 length 0.24857885500504376 width 0.11360126410252692 convergence_history {'iteration': 1, 'residuum': np.float64(nan), 'label': 'Diamond I'} {'iteration': 2, 'residuum': np.float64(143021899359.00012), 'label': 'Diamond I'} {'iteration': 3, 'residuum': np.float64(1.1916459595614128), 'label': 'Diamond I'} {'iteration': 4, 'residuum': np.float64(0.03060221149776742), 'label': 'Diamond I'} {'iteration': 5, 'residuum': np.float64(0.03060221149776739), 'label': 'Diamond I'} {'iteration': 6, 'residuum': np.float64(0.0012555867056617998), 'label': 'Diamond I'} {'iteration': 7, 'residuum': np.float64(0.00018168271662898365), 'label': 'Diamond I'} {'iteration': 8, 'residuum': np.float64(0.5534729339862922), 'label': 'Diamond I'} {'iteration': 9, 'residuum': np.float64(1.239505902581281), 'label': 'Diamond I'} {'iteration': 10, 'residuum': np.float64(0.016682582506767463), 'label': 'Diamond I'} {'iteration': 11, 'residuum': np.float64(0.016682582506767435), 'label': 'Diamond I'} {'iteration': 12, 'residuum': np.float64(9.932718951409832e-05), 'label': 'Diamond I'} {'iteration': 13, 'residuum': np.float64(0.5534729339862922), 'label': 'Diamond I'} {'iteration': 14, 'residuum': np.float64(1.239505902581281), 'label': 'Diamond I'} {'iteration': 15, 'residuum': np.float64(0.016682571558000715), 'label': 'Diamond I'} {'iteration': 16, 'residuum': np.float64(0.016682571558000837), 'label': 'Diamond I'} {'iteration': 17, 'residuum': np.float64(9.932708436737614e-05), 'label': 'Diamond I'} coulomb_friction_coefficient 0 deformation_heat_efficiency 0.95 deformation_resistance np.float64(115176245.29060136) disk_element_count 0 disk_elements displaced_cross_section MultiPolygon area 0.00032276382739222846 height 0.061154328932550704 perimeter 0.1955694335652799 width 0.03890114896397893 draught 0.811812546206698 duration np.float64(0.07056039637464354) elastic_gap_offset np.float64(3.4653906892465432e-06) elongation 1.1263309319988397 elongation_efficiency 0.7009935493674799 engine TwoRollPass.Engine gear_box_efficiency 0.95 idle_torque 0 power np.float64(64817.89499125997) rotational_frequency np.float64(0.49884034233561403) spindle_efficiency 0.98 torque np.float64(20680.140544306425) entry_point np.float64(-0.07056039637464354) exit_point 0 front_tension 0 gap np.float64(0.0030000000000000027) global_iterator 18 height np.float64(0.0447243903911893) in_profile TwoRollPass.InProfile classifiers 'diamond' 'rotated' 'vertical' 'square' cross_section Polygon area 0.0020172289364149133 height 0.061154328932550704 perimeter 0.17484198694172845 width 0.061154328932550704 density 7500.0 equivalent_height 0.04408915363889981 equivalent_rectangle Polygon area 0.0026962426039910435 height 0.04408915363889981 perimeter 0.21048696514290102 width 0.061154328932550704 equivalent_width np.float64(0.061154328932550704) flow_stress np.float64(81622509.3265557) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) height np.float64(0.061154328932550704) lendl_section Polygon area 0.001715118733402595 height 0.061154328932550704 perimeter 0.1569269810699951 width 0.03890114896397893 length 0 material 'C45' specific_heat_capacity 690 strain 0 t 0 temperature 1373.15 velocity 0.8878385309239026 width np.float64(0.061154328932550704) inverse_forming_efficiency np.float64(1.2871314892268657) iteration_precision 0.001 label 'Diamond I' lendl_width 0.03890114896397893 length np.float64(0.07056039637464354) log_draught np.float64(-0.2084858198966925) log_elongation np.float64(0.11896538706902683) log_spread np.float64(0.0702005562255801) max_iteration_count 100 orientation 0 out_profile TwoRollPass.OutProfile classifiers 'symmetric' 'diamond' 'generic_elongation' cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 cross_section_error -0.06535133698736628 cross_section_filling_ratio 0.9346486630126337 density 7500.0 equivalent_height 0.035792128075693555 equivalent_rectangle Polygon area 0.0023480235036166665 height 0.035792128075693555 perimeter 0.20278760335952417 width 0.06560167360406854 equivalent_width np.float64(0.06560167360406854) filling_error np.float64(-0.14302189935900012) filling_ratio np.float64(0.8569781006409999) flow_stress np.float64(93399748.02046154) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) lendl_section Polygon area 0.0013923549060103674 height 0.0447243903911893 perimeter 0.13759629786652613 width 0.03890114896397893 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.20420123818243657) t np.float64(0.07056039637464354) technologically_orientated_cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 temperature np.float64(1373.4297917050226) velocity 1 width np.float64(0.06560167360406854) passed_gripping_condition False power np.float64(60345.46023686302) reappearing_cross_section MultiPolygon area 9.650846642111757e-05 height 0.024738461342810342 perimeter 0.14190125974737275 width 0.06560167360406854 rel_draught -0.18818745379330204 roll TwoRollPass.Roll contact_area np.float64(0.003008772061029608) contact_heat_transfer_coefficient 6000.0 contact_length np.float64(0.07056039637464354) contour_points array([[-5.68006321e-02, 0.00000000e+00], [-4.14906321e-02, 0.00000000e+00], [-4.11906125e-02, 3.75107461e-06], [-4.08905930e-02, 1.50113425e-05], [-4.05905735e-02, 3.38020023e-05], [-4.02905539e-02, 6.01586074e-05], [-3.99905344e-02, 9.41314051e-05], [-3.96905149e-02, 1.35785821e-04], [-3.93904953e-02, 1.85203103e-04], [-3.90904758e-02, 2.42481133e-04], [-3.87904563e-02, 3.07735434e-04], [-3.84904367e-02, 3.81100396e-04], [-3.81904172e-02, 4.62730744e-04], [-3.78903977e-02, 5.52803299e-04], [-3.75903781e-02, 6.51519075e-04], [-3.72903586e-02, 7.59105780e-04], [-3.69903391e-02, 8.75820795e-04], [-3.66903195e-02, 1.00195473e-03], [-3.63903000e-02, 1.13783572e-03], [-3.60902805e-02, 1.28383451e-03], [-3.57902609e-02, 1.44037079e-03], [-3.54902414e-02, 1.60792071e-03], [-4.00026044e-03, 1.97902481e-02], [-3.80024741e-03, 1.99019480e-02], [-3.60023439e-03, 2.00063055e-02], [-3.40022137e-03, 2.01036381e-02], [-3.20020835e-03, 2.01942254e-02], [-3.00019533e-03, 2.02783147e-02], [-2.80018231e-03, 2.03561247e-02], [-2.60016928e-03, 2.04278491e-02], [-2.40015626e-03, 2.04936597e-02], [-2.20014324e-03, 2.05537080e-02], [-2.00013022e-03, 2.06081283e-02], [-1.80011720e-03, 2.06570382e-02], [-1.60010417e-03, 2.07005411e-02], [-1.40009115e-03, 2.07387265e-02], [-1.20007813e-03, 2.07716713e-02], [-1.00006511e-03, 2.07994409e-02], [-8.00052087e-04, 2.08220895e-02], [-6.00039066e-04, 2.08396605e-02], [-4.00026044e-04, 2.08521876e-02], [-2.00013022e-04, 2.08596945e-02], [ 0.00000000e+00, 2.08621952e-02], [ 2.00013022e-04, 2.08596945e-02], [ 4.00026044e-04, 2.08521876e-02], [ 6.00039066e-04, 2.08396605e-02], [ 8.00052087e-04, 2.08220895e-02], [ 1.00006511e-03, 2.07994409e-02], [ 1.20007813e-03, 2.07716713e-02], [ 1.40009115e-03, 2.07387265e-02], [ 1.60010417e-03, 2.07005411e-02], [ 1.80011720e-03, 2.06570382e-02], [ 2.00013022e-03, 2.06081283e-02], [ 2.20014324e-03, 2.05537080e-02], [ 2.40015626e-03, 2.04936597e-02], [ 2.60016928e-03, 2.04278491e-02], [ 2.80018231e-03, 2.03561247e-02], [ 3.00019533e-03, 2.02783147e-02], [ 3.20020835e-03, 2.01942254e-02], [ 3.40022137e-03, 2.01036381e-02], [ 3.60023439e-03, 2.00063055e-02], [ 3.80024741e-03, 1.99019480e-02], [ 4.00026044e-03, 1.97902481e-02], [ 3.54902414e-02, 1.60792071e-03], [ 3.57902609e-02, 1.44037079e-03], [ 3.60902805e-02, 1.28383451e-03], [ 3.63903000e-02, 1.13783572e-03], [ 3.66903195e-02, 1.00195473e-03], [ 3.69903391e-02, 8.75820795e-04], [ 3.72903586e-02, 7.59105780e-04], [ 3.75903781e-02, 6.51519075e-04], [ 3.78903977e-02, 5.52803299e-04], [ 3.81904172e-02, 4.62730744e-04], [ 3.84904367e-02, 3.81100396e-04], [ 3.87904563e-02, 3.07735434e-04], [ 3.90904758e-02, 2.42481133e-04], [ 3.93904953e-02, 1.85203103e-04], [ 3.96905149e-02, 1.35785821e-04], [ 3.99905344e-02, 9.41314051e-05], [ 4.02905539e-02, 6.01586074e-05], [ 4.05905735e-02, 3.38020023e-05], [ 4.08905930e-02, 1.50113425e-05], [ 4.11906125e-02, 3.75107461e-06], [ 4.14906321e-02, 0.00000000e+00], [ 5.68006321e-02, 0.00000000e+00]]) entry_angle np.float64(-0.2221144454231247) groove DiamondGroove alpha1 np.float64(0.5236363668157296) alpha2 np.float64(0.5236363668157296) classifiers 'diamond' 'generic_elongation' contour_line LineString height 0.020862195195594648 length 0.12428942750252188 width 0.11360126410252692 depth np.float64(0.020862195195594648) flank_angle np.float64(0.5236363668157296) ground_width np.float64(0.004287509401684611) r1 0.012 r2 0.008 tip_angle None tip_depth 0.0221 usable_width 0.07655 max_radius 0.328 min_radius 0.3071378048044054 neutral_angle np.float64(-0.08848788138523545) nominal_radius 0.328 relative_neutral_angle np.float64(0.3983886829902817) roll_power np.float64(30172.73011843151) roll_torque np.float64(9626.60542337464) rotational_frequency np.float64(0.49884034233561403) temperature 293.15 working_radius 0.32030304866385906 working_velocity np.float64(1.0039278664085476) roll_force np.float64(346539.06892465433) roll_torque_loss_function np.float64(0.6313372329443293) rotation True spread 1.0727233010180355 stand_stiffness 100000000000.0 strain np.float64(0.20420123818243657) strain_rate np.float64(2.8939922204833017) target_cross_section_area 0.001916199793910789 target_filling_ratio 1.0 target_width 0.07655 technologically_orientated_contour_lines MultiLineString height 0.0447243903911893 length 0.24857885500504376 width 0.11360126410252692 temperature_change np.float64(0.2797917050224852) temperature_change_by_contact np.float64(-4.0377300925944395) temperature_change_by_deformation np.float64(4.317521797616925) usable_cross_section Polygon area 0.001916199793910789 height 0.0447243903911893 perimeter 0.18207551252845486 width 0.07655 usable_width 0.07655 velocity 1 volume np.float64(0.00013169336136383052) wusatowski_exponent np.float64(0.4004022972250601) wusatowski_friction_coefficient 1 wusatowski_material_coefficient 1 wusatowski_temperature_coefficient 1 wusatowski_velocity_coefficient 0.9868101140877441 zouhar_contact_c1 1 zouhar_contact_c2 0.3 zouhar_contact_c3 1 zouhar_contact_in_width 4.076000565201058e-11 TwoRollPass 'Square II' abs_draught -0.010183259156724085 back_tension 0 bite_angle np.float64(0.22643074586412446) classifiers 'symmetric' 'diamond' 'square' 'generic_elongation' contact_area np.float64(0.004398333209578956) contour_lines MultiLineString height 0.050057753507371086 length 0.1968948743217121 width 0.08033584817370697 convergence_history {'iteration': 1, 'residuum': np.float64(nan), 'label': 'Square II'} {'iteration': 2, 'residuum': np.float64(46098549067.921104), 'label': 'Square II'} {'iteration': 3, 'residuum': np.float64(0.0512355610721108), 'label': 'Square II'} {'iteration': 4, 'residuum': np.float64(0.004162237388934102), 'label': 'Square II'} {'iteration': 5, 'residuum': np.float64(0.00416223738893414), 'label': 'Square II'} {'iteration': 6, 'residuum': np.float64(0.00030568394830431643), 'label': 'Square II'} {'iteration': 7, 'residuum': np.float64(0.050905447316602875), 'label': 'Square II'} {'iteration': 8, 'residuum': np.float64(0.053635801799385235), 'label': 'Square II'} {'iteration': 9, 'residuum': np.float64(0.001656075204105218), 'label': 'Square II'} {'iteration': 10, 'residuum': np.float64(0.0016560752041051), 'label': 'Square II'} {'iteration': 11, 'residuum': np.float64(8.716749869031836e-06), 'label': 'Square II'} coulomb_friction_coefficient 0 deformation_heat_efficiency 0.95 deformation_resistance np.float64(122345152.4558176) disk_element_count 0 disk_elements displaced_cross_section MultiPolygon area 0.0003659266362094033 height 0.06560167360406854 perimeter 0.21518683893028206 width 0.03593413764470279 draught 0.783213290670439 duration np.float64(0.06835401559893396) elastic_gap_offset np.float64(2.6905737353871138e-06) elongation 1.1954342063013823 elongation_efficiency 0.8001475052732713 engine TwoRollPass.Engine gear_box_efficiency 0.95 idle_torque 0 power np.float64(63579.0571276697) rotational_frequency np.float64(0.5007875988973073) spindle_efficiency 0.98 torque np.float64(20206.013969338816) entry_point np.float64(-0.06835401559893396) exit_point 0 front_tension 0 gap np.float64(0.0030000000000000027) global_iterator 12 height np.float64(0.050057753507371086) in_profile TwoRollPass.InProfile classifiers 'symmetric' 'diamond' 'rotated' 'generic_elongation' 'vertical' cross_section Polygon area 0.001790973575443803 height 0.06560167360406854 perimeter 0.16262870637092414 width 0.0447243903911893 cross_section_error -0.06535133698736628 cross_section_filling_ratio 0.9346486630126337 density 7500.0 equivalent_height 0.046973632231500896 equivalent_rectangle Polygon area 0.0021008670660137988 height 0.046973632231500896 perimeter 0.1833960452453804 width 0.0447243903911893 equivalent_width np.float64(0.0447243903911893) filling_error np.float64(-0.14302189935900012) filling_ratio np.float64(0.8569781006409999) flow_stress np.float64(97869720.78651226) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) height np.float64(0.06560167360406854) lendl_section Polygon area 0.0016879569662784006 height 0.06560167360406854 perimeter 0.15831182504329921 width 0.03593413764470279 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.20420123818243657) t np.float64(0.07056039637464354) technologically_orientated_cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 temperature np.float64(1373.4297917050226) velocity 0.8365161334089255 width np.float64(0.0447243903911893) inverse_forming_efficiency np.float64(1.2979840114196535) iteration_precision 0.001 label 'Square II' lendl_width 0.03593413764470279 length np.float64(0.06835401559893396) log_draught np.float64(-0.24435021820803393) log_elongation np.float64(0.17850947194037914) log_spread np.float64(0.11690154262376692) max_iteration_count 100 orientation 0 out_profile TwoRollPass.OutProfile classifiers 'symmetric' 'diamond' 'square' 'generic_elongation' cross_section Polygon area 0.0014981782903678085 height 0.050057753507371086 perimeter 0.14608035422764684 width 0.05027060646412056 cross_section_error -0.009850664722573343 cross_section_filling_ratio 0.9901493352774267 density 7500.0 equivalent_height 0.03679037307477681 equivalent_rectangle Polygon area 0.001849474366510282 height 0.03679037307477681 perimeter 0.17412195907779474 width 0.05027060646412056 equivalent_width np.float64(0.05027060646412056) filling_error np.float64(-0.0460985490679211) filling_ratio np.float64(0.9539014509320789) flow_stress np.float64(92450647.74167885) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) lendl_section Polygon area 0.0013220303300689974 height 0.050057753507371086 perimeter 0.13492042233024093 width 0.03593413764470279 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.4690768459414539) t np.float64(0.1389144119735775) technologically_orientated_cross_section Polygon area 0.0014981782903678085 height 0.050057753507371086 perimeter 0.14608035422764684 width 0.05027060646412056 temperature np.float64(1375.9226036590123) velocity 1 width np.float64(0.05027060646412056) passed_gripping_condition False power np.float64(59192.10218586049) reappearing_cross_section MultiPolygon area 7.313135113340935e-05 height 0.019511352110814527 perimeter 0.09352222166828891 width 0.05027060646412056 rel_draught -0.21678670932956107 roll TwoRollPass.Roll contact_area np.float64(0.002199166604789478) contact_heat_transfer_coefficient 6000.0 contact_length np.float64(0.06835401559893396) contour_points array([[-4.01679241e-02, 0.00000000e+00], [-2.96279241e-02, 0.00000000e+00], [-2.93472528e-02, 4.92503864e-06], [-2.90665815e-02, 1.97183915e-05], [-2.87859103e-02, 4.44351087e-05], [-2.85052390e-02, 7.91680863e-05], [-2.82245677e-02, 1.24049839e-04], [-2.79438965e-02, 1.79255089e-04], [-2.76632252e-02, 2.45004304e-04], [-2.73825539e-02, 3.21568336e-04], [-2.71018827e-02, 4.09274431e-04], [-2.68212114e-02, 5.08513914e-04], [-2.65405401e-02, 6.19752025e-04], [-2.62598688e-02, 7.43540544e-04], [-2.59791976e-02, 8.80534094e-04], [-2.56985263e-02, 1.03151143e-03], [-2.54178550e-02, 1.19740355e-03], [-2.51371838e-02, 1.37933151e-03], [-2.48565125e-02, 1.57865814e-03], [-2.45758412e-02, 1.79706048e-03], [-2.42951699e-02, 2.03663407e-03], [-2.40144987e-02, 2.30004780e-03], [-4.21006906e-03, 2.18038409e-02], [-3.99956561e-03, 2.20014012e-02], [-3.78906215e-03, 2.21810814e-02], [-3.57855870e-03, 2.23448832e-02], [-3.36805525e-03, 2.24943781e-02], [-3.15755180e-03, 2.26308241e-02], [-2.94704834e-03, 2.27552432e-02], [-2.73654489e-03, 2.28684762e-02], [-2.52604144e-03, 2.29712213e-02], [-2.31553798e-03, 2.30640627e-02], [-2.10503453e-03, 2.31474913e-02], [-1.89453108e-03, 2.32219209e-02], [-1.68402762e-03, 2.32877005e-02], [-1.47352417e-03, 2.33451235e-02], [-1.26302072e-03, 2.33944354e-02], [-1.05251727e-03, 2.34358394e-02], [-8.42013812e-04, 2.34695007e-02], [-6.31510359e-04, 2.34955504e-02], [-4.21006906e-04, 2.35140880e-02], [-2.10503453e-04, 2.35251830e-02], [ 0.00000000e+00, 2.35288768e-02], [ 2.10503453e-04, 2.35251830e-02], [ 4.21006906e-04, 2.35140880e-02], [ 6.31510359e-04, 2.34955504e-02], [ 8.42013812e-04, 2.34695007e-02], [ 1.05251727e-03, 2.34358394e-02], [ 1.26302072e-03, 2.33944354e-02], [ 1.47352417e-03, 2.33451235e-02], [ 1.68402762e-03, 2.32877005e-02], [ 1.89453108e-03, 2.32219209e-02], [ 2.10503453e-03, 2.31474913e-02], [ 2.31553798e-03, 2.30640627e-02], [ 2.52604144e-03, 2.29712213e-02], [ 2.73654489e-03, 2.28684762e-02], [ 2.94704834e-03, 2.27552432e-02], [ 3.15755180e-03, 2.26308241e-02], [ 3.36805525e-03, 2.24943781e-02], [ 3.57855870e-03, 2.23448832e-02], [ 3.78906215e-03, 2.21810814e-02], [ 3.99956561e-03, 2.20014012e-02], [ 4.21006906e-03, 2.18038409e-02], [ 2.40144987e-02, 2.30004780e-03], [ 2.42951699e-02, 2.03663407e-03], [ 2.45758412e-02, 1.79706048e-03], [ 2.48565125e-02, 1.57865814e-03], [ 2.51371838e-02, 1.37933151e-03], [ 2.54178550e-02, 1.19740355e-03], [ 2.56985263e-02, 1.03151143e-03], [ 2.59791976e-02, 8.80534094e-04], [ 2.62598688e-02, 7.43540544e-04], [ 2.65405401e-02, 6.19752025e-04], [ 2.68212114e-02, 5.08513914e-04], [ 2.71018827e-02, 4.09274431e-04], [ 2.73825539e-02, 3.21568336e-04], [ 2.76632252e-02, 2.45004304e-04], [ 2.79438965e-02, 1.79255089e-04], [ 2.82245677e-02, 1.24049839e-04], [ 2.85052390e-02, 7.91680863e-05], [ 2.87859103e-02, 4.44351087e-05], [ 2.90665815e-02, 1.97183915e-05], [ 2.93472528e-02, 4.92503864e-06], [ 2.96279241e-02, 0.00000000e+00], [ 4.01679241e-02, 0.00000000e+00]]) entry_angle np.float64(-0.21600502011964226) groove SquareGroove alpha1 np.float64(0.7777501289619068) alpha2 np.float64(0.7777501289619068) classifiers 'diamond' 'square' 'generic_elongation' contour_line LineString height 0.02352887675368554 length 0.09844743716085605 width 0.08033584817370697 depth np.float64(0.02352887675368554) flank_angle np.float64(0.7777501289619068) ground_width np.float64(0.004916886130280226) r1 0.008 r2 0.006 tip_angle None tip_depth 0.02595 usable_width 0.0527 max_radius 0.328 min_radius 0.3044711232463145 neutral_angle np.float64(-0.08350974660576393) nominal_radius 0.328 relative_neutral_angle np.float64(0.38661021192706085) roll_power np.float64(29596.051092930244) roll_torque np.float64(9405.899502727218) rotational_frequency np.float64(0.5007875988973073) temperature 293.15 working_radius 0.3189206845252471 working_velocity np.float64(1.0034970999918449) roll_force np.float64(269057.3735387114) roll_torque_loss_function np.float64(0.6345588262218422) rotation True spread 1.1240087572892634 stand_stiffness 100000000000.0 strain np.float64(0.2648756077590173) strain_rate np.float64(3.87505555362205) target_cross_section_area 0.001513083165326813 target_filling_ratio 1.0 target_width 0.0527 technologically_orientated_contour_lines MultiLineString height 0.050057753507371086 length 0.1968948743217121 width 0.08033584817370697 temperature_change np.float64(2.4928119539898095) temperature_change_by_contact np.float64(-3.4561608542129143) temperature_change_by_deformation np.float64(5.948972808202724) usable_cross_section Polygon area 0.001513083165326813 height 0.050057753507371086 perimeter 0.15003905934753262 width 0.0527 usable_width 0.0527 velocity 1 volume np.float64(0.00010907774672424502) wusatowski_exponent np.float64(0.5208066544950647) wusatowski_friction_coefficient 1 wusatowski_material_coefficient 1 wusatowski_temperature_coefficient 1 wusatowski_velocity_coefficient 0.9896957789713526 zouhar_contact_c1 1 zouhar_contact_c2 0.28 zouhar_contact_c3 1 zouhar_contact_in_width 4.0760146896440836e-11

We can pick a single roll pass from the sequence by using an index, which give us the same object as referenced by pass2. Note the zero-based indexing in Python.

sequence[1]

TwoRollPass 'Square II' abs_draught -0.010183259156724085 back_tension 0 bite_angle np.float64(0.22643074586412446) classifiers 'symmetric' 'diamond' 'square' 'generic_elongation' contact_area np.float64(0.004398333209578956) contour_lines MultiLineString height 0.050057753507371086 length 0.1968948743217121 width 0.08033584817370697 convergence_history {'iteration': 1, 'residuum': np.float64(nan), 'label': 'Square II'} {'iteration': 2, 'residuum': np.float64(46098549067.921104), 'label': 'Square II'} {'iteration': 3, 'residuum': np.float64(0.0512355610721108), 'label': 'Square II'} {'iteration': 4, 'residuum': np.float64(0.004162237388934102), 'label': 'Square II'} {'iteration': 5, 'residuum': np.float64(0.00416223738893414), 'label': 'Square II'} {'iteration': 6, 'residuum': np.float64(0.00030568394830431643), 'label': 'Square II'} {'iteration': 7, 'residuum': np.float64(0.050905447316602875), 'label': 'Square II'} {'iteration': 8, 'residuum': np.float64(0.053635801799385235), 'label': 'Square II'} {'iteration': 9, 'residuum': np.float64(0.001656075204105218), 'label': 'Square II'} {'iteration': 10, 'residuum': np.float64(0.0016560752041051), 'label': 'Square II'} {'iteration': 11, 'residuum': np.float64(8.716749869031836e-06), 'label': 'Square II'} coulomb_friction_coefficient 0 deformation_heat_efficiency 0.95 deformation_resistance np.float64(122345152.4558176) disk_element_count 0 disk_elements displaced_cross_section MultiPolygon area 0.0003659266362094033 height 0.06560167360406854 perimeter 0.21518683893028206 width 0.03593413764470279 draught 0.783213290670439 duration np.float64(0.06835401559893396) elastic_gap_offset np.float64(2.6905737353871138e-06) elongation 1.1954342063013823 elongation_efficiency 0.8001475052732713 engine TwoRollPass.Engine gear_box_efficiency 0.95 idle_torque 0 power np.float64(63579.0571276697) rotational_frequency np.float64(0.5007875988973073) spindle_efficiency 0.98 torque np.float64(20206.013969338816) entry_point np.float64(-0.06835401559893396) exit_point 0 front_tension 0 gap np.float64(0.0030000000000000027) global_iterator 12 height np.float64(0.050057753507371086) in_profile TwoRollPass.InProfile classifiers 'symmetric' 'diamond' 'rotated' 'generic_elongation' 'vertical' cross_section Polygon area 0.001790973575443803 height 0.06560167360406854 perimeter 0.16262870637092414 width 0.0447243903911893 cross_section_error -0.06535133698736628 cross_section_filling_ratio 0.9346486630126337 density 7500.0 equivalent_height 0.046973632231500896 equivalent_rectangle Polygon area 0.0021008670660137988 height 0.046973632231500896 perimeter 0.1833960452453804 width 0.0447243903911893 equivalent_width np.float64(0.0447243903911893) filling_error np.float64(-0.14302189935900012) filling_ratio np.float64(0.8569781006409999) flow_stress np.float64(97869720.78651226) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) height np.float64(0.06560167360406854) lendl_section Polygon area 0.0016879569662784006 height 0.06560167360406854 perimeter 0.15831182504329921 width 0.03593413764470279 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.20420123818243657) t np.float64(0.07056039637464354) technologically_orientated_cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 temperature np.float64(1373.4297917050226) velocity 0.8365161334089255 width np.float64(0.0447243903911893) inverse_forming_efficiency np.float64(1.2979840114196535) iteration_precision 0.001 label 'Square II' lendl_width 0.03593413764470279 length np.float64(0.06835401559893396) log_draught np.float64(-0.24435021820803393) log_elongation np.float64(0.17850947194037914) log_spread np.float64(0.11690154262376692) max_iteration_count 100 orientation 0 out_profile TwoRollPass.OutProfile classifiers 'symmetric' 'diamond' 'square' 'generic_elongation' cross_section Polygon area 0.0014981782903678085 height 0.050057753507371086 perimeter 0.14608035422764684 width 0.05027060646412056 cross_section_error -0.009850664722573343 cross_section_filling_ratio 0.9901493352774267 density 7500.0 equivalent_height 0.03679037307477681 equivalent_rectangle Polygon area 0.001849474366510282 height 0.03679037307477681 perimeter 0.17412195907779474 width 0.05027060646412056 equivalent_width np.float64(0.05027060646412056) filling_error np.float64(-0.0460985490679211) filling_ratio np.float64(0.9539014509320789) flow_stress np.float64(92450647.74167885) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) lendl_section Polygon area 0.0013220303300689974 height 0.050057753507371086 perimeter 0.13492042233024093 width 0.03593413764470279 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.4690768459414539) t np.float64(0.1389144119735775) technologically_orientated_cross_section Polygon area 0.0014981782903678085 height 0.050057753507371086 perimeter 0.14608035422764684 width 0.05027060646412056 temperature np.float64(1375.9226036590123) velocity 1 width np.float64(0.05027060646412056) passed_gripping_condition False power np.float64(59192.10218586049) reappearing_cross_section MultiPolygon area 7.313135113340935e-05 height 0.019511352110814527 perimeter 0.09352222166828891 width 0.05027060646412056 rel_draught -0.21678670932956107 roll TwoRollPass.Roll contact_area np.float64(0.002199166604789478) contact_heat_transfer_coefficient 6000.0 contact_length np.float64(0.06835401559893396) contour_points array([[-4.01679241e-02, 0.00000000e+00], [-2.96279241e-02, 0.00000000e+00], [-2.93472528e-02, 4.92503864e-06], [-2.90665815e-02, 1.97183915e-05], [-2.87859103e-02, 4.44351087e-05], [-2.85052390e-02, 7.91680863e-05], [-2.82245677e-02, 1.24049839e-04], [-2.79438965e-02, 1.79255089e-04], [-2.76632252e-02, 2.45004304e-04], [-2.73825539e-02, 3.21568336e-04], [-2.71018827e-02, 4.09274431e-04], [-2.68212114e-02, 5.08513914e-04], [-2.65405401e-02, 6.19752025e-04], [-2.62598688e-02, 7.43540544e-04], [-2.59791976e-02, 8.80534094e-04], [-2.56985263e-02, 1.03151143e-03], [-2.54178550e-02, 1.19740355e-03], [-2.51371838e-02, 1.37933151e-03], [-2.48565125e-02, 1.57865814e-03], [-2.45758412e-02, 1.79706048e-03], [-2.42951699e-02, 2.03663407e-03], [-2.40144987e-02, 2.30004780e-03], [-4.21006906e-03, 2.18038409e-02], [-3.99956561e-03, 2.20014012e-02], [-3.78906215e-03, 2.21810814e-02], [-3.57855870e-03, 2.23448832e-02], [-3.36805525e-03, 2.24943781e-02], [-3.15755180e-03, 2.26308241e-02], [-2.94704834e-03, 2.27552432e-02], [-2.73654489e-03, 2.28684762e-02], [-2.52604144e-03, 2.29712213e-02], [-2.31553798e-03, 2.30640627e-02], [-2.10503453e-03, 2.31474913e-02], [-1.89453108e-03, 2.32219209e-02], [-1.68402762e-03, 2.32877005e-02], [-1.47352417e-03, 2.33451235e-02], [-1.26302072e-03, 2.33944354e-02], [-1.05251727e-03, 2.34358394e-02], [-8.42013812e-04, 2.34695007e-02], [-6.31510359e-04, 2.34955504e-02], [-4.21006906e-04, 2.35140880e-02], [-2.10503453e-04, 2.35251830e-02], [ 0.00000000e+00, 2.35288768e-02], [ 2.10503453e-04, 2.35251830e-02], [ 4.21006906e-04, 2.35140880e-02], [ 6.31510359e-04, 2.34955504e-02], [ 8.42013812e-04, 2.34695007e-02], [ 1.05251727e-03, 2.34358394e-02], [ 1.26302072e-03, 2.33944354e-02], [ 1.47352417e-03, 2.33451235e-02], [ 1.68402762e-03, 2.32877005e-02], [ 1.89453108e-03, 2.32219209e-02], [ 2.10503453e-03, 2.31474913e-02], [ 2.31553798e-03, 2.30640627e-02], [ 2.52604144e-03, 2.29712213e-02], [ 2.73654489e-03, 2.28684762e-02], [ 2.94704834e-03, 2.27552432e-02], [ 3.15755180e-03, 2.26308241e-02], [ 3.36805525e-03, 2.24943781e-02], [ 3.57855870e-03, 2.23448832e-02], [ 3.78906215e-03, 2.21810814e-02], [ 3.99956561e-03, 2.20014012e-02], [ 4.21006906e-03, 2.18038409e-02], [ 2.40144987e-02, 2.30004780e-03], [ 2.42951699e-02, 2.03663407e-03], [ 2.45758412e-02, 1.79706048e-03], [ 2.48565125e-02, 1.57865814e-03], [ 2.51371838e-02, 1.37933151e-03], [ 2.54178550e-02, 1.19740355e-03], [ 2.56985263e-02, 1.03151143e-03], [ 2.59791976e-02, 8.80534094e-04], [ 2.62598688e-02, 7.43540544e-04], [ 2.65405401e-02, 6.19752025e-04], [ 2.68212114e-02, 5.08513914e-04], [ 2.71018827e-02, 4.09274431e-04], [ 2.73825539e-02, 3.21568336e-04], [ 2.76632252e-02, 2.45004304e-04], [ 2.79438965e-02, 1.79255089e-04], [ 2.82245677e-02, 1.24049839e-04], [ 2.85052390e-02, 7.91680863e-05], [ 2.87859103e-02, 4.44351087e-05], [ 2.90665815e-02, 1.97183915e-05], [ 2.93472528e-02, 4.92503864e-06], [ 2.96279241e-02, 0.00000000e+00], [ 4.01679241e-02, 0.00000000e+00]]) entry_angle np.float64(-0.21600502011964226) groove SquareGroove alpha1 np.float64(0.7777501289619068) alpha2 np.float64(0.7777501289619068) classifiers 'diamond' 'square' 'generic_elongation' contour_line LineString height 0.02352887675368554 length 0.09844743716085605 width 0.08033584817370697 depth np.float64(0.02352887675368554) flank_angle np.float64(0.7777501289619068) ground_width np.float64(0.004916886130280226) r1 0.008 r2 0.006 tip_angle None tip_depth 0.02595 usable_width 0.0527 max_radius 0.328 min_radius 0.3044711232463145 neutral_angle np.float64(-0.08350974660576393) nominal_radius 0.328 relative_neutral_angle np.float64(0.38661021192706085) roll_power np.float64(29596.051092930244) roll_torque np.float64(9405.899502727218) rotational_frequency np.float64(0.5007875988973073) temperature 293.15 working_radius 0.3189206845252471 working_velocity np.float64(1.0034970999918449) roll_force np.float64(269057.3735387114) roll_torque_loss_function np.float64(0.6345588262218422) rotation True spread 1.1240087572892634 stand_stiffness 100000000000.0 strain np.float64(0.2648756077590173) strain_rate np.float64(3.87505555362205) target_cross_section_area 0.001513083165326813 target_filling_ratio 1.0 target_width 0.0527 technologically_orientated_contour_lines MultiLineString height 0.050057753507371086 length 0.1968948743217121 width 0.08033584817370697 temperature_change np.float64(2.4928119539898095) temperature_change_by_contact np.float64(-3.4561608542129143) temperature_change_by_deformation np.float64(5.948972808202724) usable_cross_section Polygon area 0.001513083165326813 height 0.050057753507371086 perimeter 0.15003905934753262 width 0.0527 usable_width 0.0527 velocity 1 volume np.float64(0.00010907774672424502) wusatowski_exponent np.float64(0.5208066544950647) wusatowski_friction_coefficient 1 wusatowski_material_coefficient 1 wusatowski_temperature_coefficient 1 wusatowski_velocity_coefficient 0.9896957789713526 zouhar_contact_c1 1 zouhar_contact_c2 0.28 zouhar_contact_c3 1 zouhar_contact_in_width 4.0760146896440836e-11

Also, we can index by label, which is especially useful in larger pass sequences.

sequence["Square II"]

TwoRollPass 'Square II' abs_draught -0.010183259156724085 back_tension 0 bite_angle np.float64(0.22643074586412446) classifiers 'symmetric' 'diamond' 'square' 'generic_elongation' contact_area np.float64(0.004398333209578956) contour_lines MultiLineString height 0.050057753507371086 length 0.1968948743217121 width 0.08033584817370697 convergence_history {'iteration': 1, 'residuum': np.float64(nan), 'label': 'Square II'} {'iteration': 2, 'residuum': np.float64(46098549067.921104), 'label': 'Square II'} {'iteration': 3, 'residuum': np.float64(0.0512355610721108), 'label': 'Square II'} {'iteration': 4, 'residuum': np.float64(0.004162237388934102), 'label': 'Square II'} {'iteration': 5, 'residuum': np.float64(0.00416223738893414), 'label': 'Square II'} {'iteration': 6, 'residuum': np.float64(0.00030568394830431643), 'label': 'Square II'} {'iteration': 7, 'residuum': np.float64(0.050905447316602875), 'label': 'Square II'} {'iteration': 8, 'residuum': np.float64(0.053635801799385235), 'label': 'Square II'} {'iteration': 9, 'residuum': np.float64(0.001656075204105218), 'label': 'Square II'} {'iteration': 10, 'residuum': np.float64(0.0016560752041051), 'label': 'Square II'} {'iteration': 11, 'residuum': np.float64(8.716749869031836e-06), 'label': 'Square II'} coulomb_friction_coefficient 0 deformation_heat_efficiency 0.95 deformation_resistance np.float64(122345152.4558176) disk_element_count 0 disk_elements displaced_cross_section MultiPolygon area 0.0003659266362094033 height 0.06560167360406854 perimeter 0.21518683893028206 width 0.03593413764470279 draught 0.783213290670439 duration np.float64(0.06835401559893396) elastic_gap_offset np.float64(2.6905737353871138e-06) elongation 1.1954342063013823 elongation_efficiency 0.8001475052732713 engine TwoRollPass.Engine gear_box_efficiency 0.95 idle_torque 0 power np.float64(63579.0571276697) rotational_frequency np.float64(0.5007875988973073) spindle_efficiency 0.98 torque np.float64(20206.013969338816) entry_point np.float64(-0.06835401559893396) exit_point 0 front_tension 0 gap np.float64(0.0030000000000000027) global_iterator 12 height np.float64(0.050057753507371086) in_profile TwoRollPass.InProfile classifiers 'symmetric' 'diamond' 'rotated' 'generic_elongation' 'vertical' cross_section Polygon area 0.001790973575443803 height 0.06560167360406854 perimeter 0.16262870637092414 width 0.0447243903911893 cross_section_error -0.06535133698736628 cross_section_filling_ratio 0.9346486630126337 density 7500.0 equivalent_height 0.046973632231500896 equivalent_rectangle Polygon area 0.0021008670660137988 height 0.046973632231500896 perimeter 0.1833960452453804 width 0.0447243903911893 equivalent_width np.float64(0.0447243903911893) filling_error np.float64(-0.14302189935900012) filling_ratio np.float64(0.8569781006409999) flow_stress np.float64(97869720.78651226) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) height np.float64(0.06560167360406854) lendl_section Polygon area 0.0016879569662784006 height 0.06560167360406854 perimeter 0.15831182504329921 width 0.03593413764470279 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.20420123818243657) t np.float64(0.07056039637464354) technologically_orientated_cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 temperature np.float64(1373.4297917050226) velocity 0.8365161334089255 width np.float64(0.0447243903911893) inverse_forming_efficiency np.float64(1.2979840114196535) iteration_precision 0.001 label 'Square II' lendl_width 0.03593413764470279 length np.float64(0.06835401559893396) log_draught np.float64(-0.24435021820803393) log_elongation np.float64(0.17850947194037914) log_spread np.float64(0.11690154262376692) max_iteration_count 100 orientation 0 out_profile TwoRollPass.OutProfile classifiers 'symmetric' 'diamond' 'square' 'generic_elongation' cross_section Polygon area 0.0014981782903678085 height 0.050057753507371086 perimeter 0.14608035422764684 width 0.05027060646412056 cross_section_error -0.009850664722573343 cross_section_filling_ratio 0.9901493352774267 density 7500.0 equivalent_height 0.03679037307477681 equivalent_rectangle Polygon area 0.001849474366510282 height 0.03679037307477681 perimeter 0.17412195907779474 width 0.05027060646412056 equivalent_width np.float64(0.05027060646412056) filling_error np.float64(-0.0460985490679211) filling_ratio np.float64(0.9539014509320789) flow_stress np.float64(92450647.74167885) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) lendl_section Polygon area 0.0013220303300689974 height 0.050057753507371086 perimeter 0.13492042233024093 width 0.03593413764470279 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.4690768459414539) t np.float64(0.1389144119735775) technologically_orientated_cross_section Polygon area 0.0014981782903678085 height 0.050057753507371086 perimeter 0.14608035422764684 width 0.05027060646412056 temperature np.float64(1375.9226036590123) velocity 1 width np.float64(0.05027060646412056) passed_gripping_condition False power np.float64(59192.10218586049) reappearing_cross_section MultiPolygon area 7.313135113340935e-05 height 0.019511352110814527 perimeter 0.09352222166828891 width 0.05027060646412056 rel_draught -0.21678670932956107 roll TwoRollPass.Roll contact_area np.float64(0.002199166604789478) contact_heat_transfer_coefficient 6000.0 contact_length np.float64(0.06835401559893396) contour_points array([[-4.01679241e-02, 0.00000000e+00], [-2.96279241e-02, 0.00000000e+00], [-2.93472528e-02, 4.92503864e-06], [-2.90665815e-02, 1.97183915e-05], [-2.87859103e-02, 4.44351087e-05], [-2.85052390e-02, 7.91680863e-05], [-2.82245677e-02, 1.24049839e-04], [-2.79438965e-02, 1.79255089e-04], [-2.76632252e-02, 2.45004304e-04], [-2.73825539e-02, 3.21568336e-04], [-2.71018827e-02, 4.09274431e-04], [-2.68212114e-02, 5.08513914e-04], [-2.65405401e-02, 6.19752025e-04], [-2.62598688e-02, 7.43540544e-04], [-2.59791976e-02, 8.80534094e-04], [-2.56985263e-02, 1.03151143e-03], [-2.54178550e-02, 1.19740355e-03], [-2.51371838e-02, 1.37933151e-03], [-2.48565125e-02, 1.57865814e-03], [-2.45758412e-02, 1.79706048e-03], [-2.42951699e-02, 2.03663407e-03], [-2.40144987e-02, 2.30004780e-03], [-4.21006906e-03, 2.18038409e-02], [-3.99956561e-03, 2.20014012e-02], [-3.78906215e-03, 2.21810814e-02], [-3.57855870e-03, 2.23448832e-02], [-3.36805525e-03, 2.24943781e-02], [-3.15755180e-03, 2.26308241e-02], [-2.94704834e-03, 2.27552432e-02], [-2.73654489e-03, 2.28684762e-02], [-2.52604144e-03, 2.29712213e-02], [-2.31553798e-03, 2.30640627e-02], [-2.10503453e-03, 2.31474913e-02], [-1.89453108e-03, 2.32219209e-02], [-1.68402762e-03, 2.32877005e-02], [-1.47352417e-03, 2.33451235e-02], [-1.26302072e-03, 2.33944354e-02], [-1.05251727e-03, 2.34358394e-02], [-8.42013812e-04, 2.34695007e-02], [-6.31510359e-04, 2.34955504e-02], [-4.21006906e-04, 2.35140880e-02], [-2.10503453e-04, 2.35251830e-02], [ 0.00000000e+00, 2.35288768e-02], [ 2.10503453e-04, 2.35251830e-02], [ 4.21006906e-04, 2.35140880e-02], [ 6.31510359e-04, 2.34955504e-02], [ 8.42013812e-04, 2.34695007e-02], [ 1.05251727e-03, 2.34358394e-02], [ 1.26302072e-03, 2.33944354e-02], [ 1.47352417e-03, 2.33451235e-02], [ 1.68402762e-03, 2.32877005e-02], [ 1.89453108e-03, 2.32219209e-02], [ 2.10503453e-03, 2.31474913e-02], [ 2.31553798e-03, 2.30640627e-02], [ 2.52604144e-03, 2.29712213e-02], [ 2.73654489e-03, 2.28684762e-02], [ 2.94704834e-03, 2.27552432e-02], [ 3.15755180e-03, 2.26308241e-02], [ 3.36805525e-03, 2.24943781e-02], [ 3.57855870e-03, 2.23448832e-02], [ 3.78906215e-03, 2.21810814e-02], [ 3.99956561e-03, 2.20014012e-02], [ 4.21006906e-03, 2.18038409e-02], [ 2.40144987e-02, 2.30004780e-03], [ 2.42951699e-02, 2.03663407e-03], [ 2.45758412e-02, 1.79706048e-03], [ 2.48565125e-02, 1.57865814e-03], [ 2.51371838e-02, 1.37933151e-03], [ 2.54178550e-02, 1.19740355e-03], [ 2.56985263e-02, 1.03151143e-03], [ 2.59791976e-02, 8.80534094e-04], [ 2.62598688e-02, 7.43540544e-04], [ 2.65405401e-02, 6.19752025e-04], [ 2.68212114e-02, 5.08513914e-04], [ 2.71018827e-02, 4.09274431e-04], [ 2.73825539e-02, 3.21568336e-04], [ 2.76632252e-02, 2.45004304e-04], [ 2.79438965e-02, 1.79255089e-04], [ 2.82245677e-02, 1.24049839e-04], [ 2.85052390e-02, 7.91680863e-05], [ 2.87859103e-02, 4.44351087e-05], [ 2.90665815e-02, 1.97183915e-05], [ 2.93472528e-02, 4.92503864e-06], [ 2.96279241e-02, 0.00000000e+00], [ 4.01679241e-02, 0.00000000e+00]]) entry_angle np.float64(-0.21600502011964226) groove SquareGroove alpha1 np.float64(0.7777501289619068) alpha2 np.float64(0.7777501289619068) classifiers 'diamond' 'square' 'generic_elongation' contour_line LineString height 0.02352887675368554 length 0.09844743716085605 width 0.08033584817370697 depth np.float64(0.02352887675368554) flank_angle np.float64(0.7777501289619068) ground_width np.float64(0.004916886130280226) r1 0.008 r2 0.006 tip_angle None tip_depth 0.02595 usable_width 0.0527 max_radius 0.328 min_radius 0.3044711232463145 neutral_angle np.float64(-0.08350974660576393) nominal_radius 0.328 relative_neutral_angle np.float64(0.38661021192706085) roll_power np.float64(29596.051092930244) roll_torque np.float64(9405.899502727218) rotational_frequency np.float64(0.5007875988973073) temperature 293.15 working_radius 0.3189206845252471 working_velocity np.float64(1.0034970999918449) roll_force np.float64(269057.3735387114) roll_torque_loss_function np.float64(0.6345588262218422) rotation True spread 1.1240087572892634 stand_stiffness 100000000000.0 strain np.float64(0.2648756077590173) strain_rate np.float64(3.87505555362205) target_cross_section_area 0.001513083165326813 target_filling_ratio 1.0 target_width 0.0527 technologically_orientated_contour_lines MultiLineString height 0.050057753507371086 length 0.1968948743217121 width 0.08033584817370697 temperature_change np.float64(2.4928119539898095) temperature_change_by_contact np.float64(-3.4561608542129143) temperature_change_by_deformation np.float64(5.948972808202724) usable_cross_section Polygon area 0.001513083165326813 height 0.050057753507371086 perimeter 0.15003905934753262 width 0.0527 usable_width 0.0527 velocity 1 volume np.float64(0.00010907774672424502) wusatowski_exponent np.float64(0.5208066544950647) wusatowski_friction_coefficient 1 wusatowski_material_coefficient 1 wusatowski_temperature_coefficient 1 wusatowski_velocity_coefficient 0.9896957789713526 zouhar_contact_c1 1 zouhar_contact_c2 0.28 zouhar_contact_c3 1 zouhar_contact_in_width 4.0760146896440836e-11

Adding Interstand-Space

In reality, two passes are not aligned directly to each other, there is always some space between where the workpiece cools down and the microstructure evolves. We can model this by adding a transport.

We assume here a continuous rolling line with a space of 400mm between the passes.

transport = pr.Transport(
    label="I->II",
    length=400e-3,
)
transport

Transport 'I->II'

convergence_history
disk_elements
global_iterator	1
in_profile	None
label	'I->II'
length	0.4
out_profile	None

Lets create now a second sequence with a transport between the roll passes. We copy the passes using deepcopy to keep the solution information of the previous simulation.

from copy import deepcopy

sequence2 = pr.PassSequence([
    deepcopy(pass1),
    transport,
    deepcopy(pass2)
])
sequence2

PassSequence

convergence_history
global_iterator	1
in_profile	None
label	''
out_profile	None
units	TwoRollPass 'Diamond I' abs_draught -0.008297025563206252 back_tension 0 bite_angle np.float64(0.23180570183111004) classifiers 'symmetric' 'diamond' 'generic_elongation' contact_area np.float64(0.006017544122059216) contour_lines MultiLineString height 0.0447243903911893 length 0.24857885500504376 width 0.11360126410252692 convergence_history {'iteration': 1, 'residuum': np.float64(nan), 'label': 'Diamond I'} {'iteration': 2, 'residuum': np.float64(143021899359.00012), 'label': 'Diamond I'} {'iteration': 3, 'residuum': np.float64(1.1916459595614128), 'label': 'Diamond I'} {'iteration': 4, 'residuum': np.float64(0.03060221149776742), 'label': 'Diamond I'} {'iteration': 5, 'residuum': np.float64(0.03060221149776739), 'label': 'Diamond I'} {'iteration': 6, 'residuum': np.float64(0.0012555867056617998), 'label': 'Diamond I'} {'iteration': 7, 'residuum': np.float64(0.00018168271662898365), 'label': 'Diamond I'} {'iteration': 8, 'residuum': np.float64(0.5534729339862922), 'label': 'Diamond I'} {'iteration': 9, 'residuum': np.float64(1.239505902581281), 'label': 'Diamond I'} {'iteration': 10, 'residuum': np.float64(0.016682582506767463), 'label': 'Diamond I'} {'iteration': 11, 'residuum': np.float64(0.016682582506767435), 'label': 'Diamond I'} {'iteration': 12, 'residuum': np.float64(9.932718951409832e-05), 'label': 'Diamond I'} {'iteration': 13, 'residuum': np.float64(0.5534729339862922), 'label': 'Diamond I'} {'iteration': 14, 'residuum': np.float64(1.239505902581281), 'label': 'Diamond I'} {'iteration': 15, 'residuum': np.float64(0.016682571558000715), 'label': 'Diamond I'} {'iteration': 16, 'residuum': np.float64(0.016682571558000837), 'label': 'Diamond I'} {'iteration': 17, 'residuum': np.float64(9.932708436737614e-05), 'label': 'Diamond I'} coulomb_friction_coefficient 0 deformation_heat_efficiency 0.95 deformation_resistance np.float64(115176245.29060136) disk_element_count 0 disk_elements displaced_cross_section MultiPolygon area 0.00032276382739222846 height 0.061154328932550704 perimeter 0.1955694335652799 width 0.03890114896397893 draught 0.811812546206698 duration np.float64(0.07056039637464354) elastic_gap_offset np.float64(3.4653906892465432e-06) elongation 1.1263309319988397 elongation_efficiency 0.7009935493674799 engine TwoRollPass.Engine gear_box_efficiency 0.95 idle_torque 0 power np.float64(64817.89499125997) rotational_frequency np.float64(0.49884034233561403) spindle_efficiency 0.98 torque np.float64(20680.140544306425) entry_point np.float64(-0.07056039637464354) exit_point 0 front_tension 0 gap np.float64(0.0030000000000000027) global_iterator 18 height np.float64(0.0447243903911893) in_profile TwoRollPass.InProfile classifiers 'square' 'diamond' 'vertical' 'rotated' cross_section Polygon area 0.0020172289364149133 height 0.061154328932550704 perimeter 0.17484198694172845 width 0.061154328932550704 density 7500.0 equivalent_height 0.04408915363889981 equivalent_rectangle Polygon area 0.0026962426039910435 height 0.04408915363889981 perimeter 0.21048696514290102 width 0.061154328932550704 equivalent_width np.float64(0.061154328932550704) flow_stress np.float64(81622509.3265557) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) height np.float64(0.061154328932550704) lendl_section Polygon area 0.001715118733402595 height 0.061154328932550704 perimeter 0.1569269810699951 width 0.03890114896397893 length 0 material 'C45' specific_heat_capacity 690 strain 0 t 0 temperature 1373.15 velocity 0.8878385309239026 width np.float64(0.061154328932550704) inverse_forming_efficiency np.float64(1.2871314892268657) iteration_precision 0.001 label 'Diamond I' lendl_width 0.03890114896397893 length np.float64(0.07056039637464354) log_draught np.float64(-0.2084858198966925) log_elongation np.float64(0.11896538706902683) log_spread np.float64(0.0702005562255801) max_iteration_count 100 orientation 0 out_profile TwoRollPass.OutProfile classifiers 'symmetric' 'generic_elongation' 'diamond' cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 cross_section_error -0.06535133698736628 cross_section_filling_ratio 0.9346486630126337 density 7500.0 equivalent_height 0.035792128075693555 equivalent_rectangle Polygon area 0.0023480235036166665 height 0.035792128075693555 perimeter 0.20278760335952417 width 0.06560167360406854 equivalent_width np.float64(0.06560167360406854) filling_error np.float64(-0.14302189935900012) filling_ratio np.float64(0.8569781006409999) flow_stress np.float64(93399748.02046154) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) lendl_section Polygon area 0.0013923549060103674 height 0.0447243903911893 perimeter 0.13759629786652613 width 0.03890114896397893 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.20420123818243657) t np.float64(0.07056039637464354) technologically_orientated_cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 temperature np.float64(1373.4297917050226) velocity 1 width np.float64(0.06560167360406854) passed_gripping_condition False power np.float64(60345.46023686302) reappearing_cross_section MultiPolygon area 9.650846642111757e-05 height 0.024738461342810342 perimeter 0.14190125974737275 width 0.06560167360406854 rel_draught -0.18818745379330204 roll TwoRollPass.Roll contact_area np.float64(0.003008772061029608) contact_heat_transfer_coefficient 6000.0 contact_length np.float64(0.07056039637464354) contour_points array([[-5.68006321e-02, 0.00000000e+00], [-4.14906321e-02, 0.00000000e+00], [-4.11906125e-02, 3.75107461e-06], [-4.08905930e-02, 1.50113425e-05], [-4.05905735e-02, 3.38020023e-05], [-4.02905539e-02, 6.01586074e-05], [-3.99905344e-02, 9.41314051e-05], [-3.96905149e-02, 1.35785821e-04], [-3.93904953e-02, 1.85203103e-04], [-3.90904758e-02, 2.42481133e-04], [-3.87904563e-02, 3.07735434e-04], [-3.84904367e-02, 3.81100396e-04], [-3.81904172e-02, 4.62730744e-04], [-3.78903977e-02, 5.52803299e-04], [-3.75903781e-02, 6.51519075e-04], [-3.72903586e-02, 7.59105780e-04], [-3.69903391e-02, 8.75820795e-04], [-3.66903195e-02, 1.00195473e-03], [-3.63903000e-02, 1.13783572e-03], [-3.60902805e-02, 1.28383451e-03], [-3.57902609e-02, 1.44037079e-03], [-3.54902414e-02, 1.60792071e-03], [-4.00026044e-03, 1.97902481e-02], [-3.80024741e-03, 1.99019480e-02], [-3.60023439e-03, 2.00063055e-02], [-3.40022137e-03, 2.01036381e-02], [-3.20020835e-03, 2.01942254e-02], [-3.00019533e-03, 2.02783147e-02], [-2.80018231e-03, 2.03561247e-02], [-2.60016928e-03, 2.04278491e-02], [-2.40015626e-03, 2.04936597e-02], [-2.20014324e-03, 2.05537080e-02], [-2.00013022e-03, 2.06081283e-02], [-1.80011720e-03, 2.06570382e-02], [-1.60010417e-03, 2.07005411e-02], [-1.40009115e-03, 2.07387265e-02], [-1.20007813e-03, 2.07716713e-02], [-1.00006511e-03, 2.07994409e-02], [-8.00052087e-04, 2.08220895e-02], [-6.00039066e-04, 2.08396605e-02], [-4.00026044e-04, 2.08521876e-02], [-2.00013022e-04, 2.08596945e-02], [ 0.00000000e+00, 2.08621952e-02], [ 2.00013022e-04, 2.08596945e-02], [ 4.00026044e-04, 2.08521876e-02], [ 6.00039066e-04, 2.08396605e-02], [ 8.00052087e-04, 2.08220895e-02], [ 1.00006511e-03, 2.07994409e-02], [ 1.20007813e-03, 2.07716713e-02], [ 1.40009115e-03, 2.07387265e-02], [ 1.60010417e-03, 2.07005411e-02], [ 1.80011720e-03, 2.06570382e-02], [ 2.00013022e-03, 2.06081283e-02], [ 2.20014324e-03, 2.05537080e-02], [ 2.40015626e-03, 2.04936597e-02], [ 2.60016928e-03, 2.04278491e-02], [ 2.80018231e-03, 2.03561247e-02], [ 3.00019533e-03, 2.02783147e-02], [ 3.20020835e-03, 2.01942254e-02], [ 3.40022137e-03, 2.01036381e-02], [ 3.60023439e-03, 2.00063055e-02], [ 3.80024741e-03, 1.99019480e-02], [ 4.00026044e-03, 1.97902481e-02], [ 3.54902414e-02, 1.60792071e-03], [ 3.57902609e-02, 1.44037079e-03], [ 3.60902805e-02, 1.28383451e-03], [ 3.63903000e-02, 1.13783572e-03], [ 3.66903195e-02, 1.00195473e-03], [ 3.69903391e-02, 8.75820795e-04], [ 3.72903586e-02, 7.59105780e-04], [ 3.75903781e-02, 6.51519075e-04], [ 3.78903977e-02, 5.52803299e-04], [ 3.81904172e-02, 4.62730744e-04], [ 3.84904367e-02, 3.81100396e-04], [ 3.87904563e-02, 3.07735434e-04], [ 3.90904758e-02, 2.42481133e-04], [ 3.93904953e-02, 1.85203103e-04], [ 3.96905149e-02, 1.35785821e-04], [ 3.99905344e-02, 9.41314051e-05], [ 4.02905539e-02, 6.01586074e-05], [ 4.05905735e-02, 3.38020023e-05], [ 4.08905930e-02, 1.50113425e-05], [ 4.11906125e-02, 3.75107461e-06], [ 4.14906321e-02, 0.00000000e+00], [ 5.68006321e-02, 0.00000000e+00]]) entry_angle np.float64(-0.2221144454231247) groove DiamondGroove alpha1 np.float64(0.5236363668157296) alpha2 np.float64(0.5236363668157296) classifiers 'diamond' 'generic_elongation' contour_line LineString height 0.020862195195594648 length 0.12428942750252188 width 0.11360126410252692 depth np.float64(0.020862195195594648) flank_angle np.float64(0.5236363668157296) ground_width np.float64(0.004287509401684611) r1 0.012 r2 0.008 tip_angle None tip_depth 0.0221 usable_width 0.07655 max_radius 0.328 min_radius 0.3071378048044054 neutral_angle np.float64(-0.08848788138523545) nominal_radius 0.328 relative_neutral_angle np.float64(0.3983886829902817) roll_power np.float64(30172.73011843151) roll_torque np.float64(9626.60542337464) rotational_frequency np.float64(0.49884034233561403) temperature 293.15 working_radius 0.32030304866385906 working_velocity np.float64(1.0039278664085476) roll_force np.float64(346539.06892465433) roll_torque_loss_function np.float64(0.6313372329443293) rotation True spread 1.0727233010180355 stand_stiffness 100000000000.0 strain np.float64(0.20420123818243657) strain_rate np.float64(2.8939922204833017) target_cross_section_area 0.001916199793910789 target_filling_ratio 1.0 target_width 0.07655 technologically_orientated_contour_lines MultiLineString height 0.0447243903911893 length 0.24857885500504376 width 0.11360126410252692 temperature_change np.float64(0.2797917050224852) temperature_change_by_contact np.float64(-4.0377300925944395) temperature_change_by_deformation np.float64(4.317521797616925) usable_cross_section Polygon area 0.001916199793910789 height 0.0447243903911893 perimeter 0.18207551252845486 width 0.07655 usable_width 0.07655 velocity 1 volume np.float64(0.00013169336136383052) wusatowski_exponent np.float64(0.4004022972250601) wusatowski_friction_coefficient 1 wusatowski_material_coefficient 1 wusatowski_temperature_coefficient 1 wusatowski_velocity_coefficient 0.9868101140877441 zouhar_contact_c1 1 zouhar_contact_c2 0.3 zouhar_contact_c3 1 zouhar_contact_in_width 4.076000565201058e-11 Transport 'I->II' convergence_history disk_elements global_iterator 1 in_profile None label 'I->II' length 0.4 out_profile None TwoRollPass 'Square II' abs_draught -0.010183259156724085 back_tension 0 bite_angle np.float64(0.22643074586412446) classifiers 'symmetric' 'diamond' 'square' 'generic_elongation' contact_area np.float64(0.004398333209578956) contour_lines MultiLineString height 0.050057753507371086 length 0.1968948743217121 width 0.08033584817370697 convergence_history {'iteration': 1, 'residuum': np.float64(nan), 'label': 'Square II'} {'iteration': 2, 'residuum': np.float64(46098549067.921104), 'label': 'Square II'} {'iteration': 3, 'residuum': np.float64(0.0512355610721108), 'label': 'Square II'} {'iteration': 4, 'residuum': np.float64(0.004162237388934102), 'label': 'Square II'} {'iteration': 5, 'residuum': np.float64(0.00416223738893414), 'label': 'Square II'} {'iteration': 6, 'residuum': np.float64(0.00030568394830431643), 'label': 'Square II'} {'iteration': 7, 'residuum': np.float64(0.050905447316602875), 'label': 'Square II'} {'iteration': 8, 'residuum': np.float64(0.053635801799385235), 'label': 'Square II'} {'iteration': 9, 'residuum': np.float64(0.001656075204105218), 'label': 'Square II'} {'iteration': 10, 'residuum': np.float64(0.0016560752041051), 'label': 'Square II'} {'iteration': 11, 'residuum': np.float64(8.716749869031836e-06), 'label': 'Square II'} coulomb_friction_coefficient 0 deformation_heat_efficiency 0.95 deformation_resistance np.float64(122345152.4558176) disk_element_count 0 disk_elements displaced_cross_section MultiPolygon area 0.0003659266362094033 height 0.06560167360406854 perimeter 0.21518683893028206 width 0.03593413764470279 draught 0.783213290670439 duration np.float64(0.06835401559893396) elastic_gap_offset np.float64(2.6905737353871138e-06) elongation 1.1954342063013823 elongation_efficiency 0.8001475052732713 engine TwoRollPass.Engine gear_box_efficiency 0.95 idle_torque 0 power np.float64(63579.0571276697) rotational_frequency np.float64(0.5007875988973073) spindle_efficiency 0.98 torque np.float64(20206.013969338816) entry_point np.float64(-0.06835401559893396) exit_point 0 front_tension 0 gap np.float64(0.0030000000000000027) global_iterator 12 height np.float64(0.050057753507371086) in_profile TwoRollPass.InProfile classifiers 'symmetric' 'diamond' 'rotated' 'generic_elongation' 'vertical' cross_section Polygon area 0.001790973575443803 height 0.06560167360406854 perimeter 0.16262870637092414 width 0.0447243903911893 cross_section_error -0.06535133698736628 cross_section_filling_ratio 0.9346486630126337 density 7500.0 equivalent_height 0.046973632231500896 equivalent_rectangle Polygon area 0.0021008670660137988 height 0.046973632231500896 perimeter 0.1833960452453804 width 0.0447243903911893 equivalent_width np.float64(0.0447243903911893) filling_error np.float64(-0.14302189935900012) filling_ratio np.float64(0.8569781006409999) flow_stress np.float64(97869720.78651226) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) height np.float64(0.06560167360406854) lendl_section Polygon area 0.0016879569662784006 height 0.06560167360406854 perimeter 0.15831182504329921 width 0.03593413764470279 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.20420123818243657) t np.float64(0.07056039637464354) technologically_orientated_cross_section Polygon area 0.0017909735754438032 height 0.0447243903911893 perimeter 0.16262870637092414 width 0.06560167360406854 temperature np.float64(1373.4297917050226) velocity 0.8365161334089255 width np.float64(0.0447243903911893) inverse_forming_efficiency np.float64(1.2979840114196535) iteration_precision 0.001 label 'Square II' lendl_width 0.03593413764470279 length np.float64(0.06835401559893396) log_draught np.float64(-0.24435021820803393) log_elongation np.float64(0.17850947194037914) log_spread np.float64(0.11690154262376692) max_iteration_count 100 orientation 0 out_profile TwoRollPass.OutProfile classifiers 'symmetric' 'generic_elongation' 'square' 'diamond' cross_section Polygon area 0.0014981782903678085 height 0.050057753507371086 perimeter 0.14608035422764684 width 0.05027060646412056 cross_section_error -0.009850664722573343 cross_section_filling_ratio 0.9901493352774267 density 7500.0 equivalent_height 0.03679037307477681 equivalent_rectangle Polygon area 0.001849474366510282 height 0.03679037307477681 perimeter 0.17412195907779474 width 0.05027060646412056 equivalent_width np.float64(0.05027060646412056) filling_error np.float64(-0.0460985490679211) filling_ratio np.float64(0.9539014509320789) flow_stress np.float64(92450647.74167885) freiberg_flow_stress_coefficients FreibergFlowStressCoefficients(a=3268490000.0, m1=-0.00267855, m2=0.34446, m3=0, m4=0.000551814, m5=-0.00132042, m6=0, m7=0.0166334, m8=0.000149907, m9=0, baseStrain=0.1, baseStrainRate=0.1) lendl_section Polygon area 0.0013220303300689974 height 0.050057753507371086 perimeter 0.13492042233024093 width 0.03593413764470279 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.4690768459414539) t np.float64(0.1389144119735775) technologically_orientated_cross_section Polygon area 0.0014981782903678085 height 0.050057753507371086 perimeter 0.14608035422764684 width 0.05027060646412056 temperature np.float64(1375.9226036590123) velocity 1 width np.float64(0.05027060646412056) passed_gripping_condition False power np.float64(59192.10218586049) reappearing_cross_section MultiPolygon area 7.313135113340935e-05 height 0.019511352110814527 perimeter 0.09352222166828891 width 0.05027060646412056 rel_draught -0.21678670932956107 roll TwoRollPass.Roll contact_area np.float64(0.002199166604789478) contact_heat_transfer_coefficient 6000.0 contact_length np.float64(0.06835401559893396) contour_points array([[-4.01679241e-02, 0.00000000e+00], [-2.96279241e-02, 0.00000000e+00], [-2.93472528e-02, 4.92503864e-06], [-2.90665815e-02, 1.97183915e-05], [-2.87859103e-02, 4.44351087e-05], [-2.85052390e-02, 7.91680863e-05], [-2.82245677e-02, 1.24049839e-04], [-2.79438965e-02, 1.79255089e-04], [-2.76632252e-02, 2.45004304e-04], [-2.73825539e-02, 3.21568336e-04], [-2.71018827e-02, 4.09274431e-04], [-2.68212114e-02, 5.08513914e-04], [-2.65405401e-02, 6.19752025e-04], [-2.62598688e-02, 7.43540544e-04], [-2.59791976e-02, 8.80534094e-04], [-2.56985263e-02, 1.03151143e-03], [-2.54178550e-02, 1.19740355e-03], [-2.51371838e-02, 1.37933151e-03], [-2.48565125e-02, 1.57865814e-03], [-2.45758412e-02, 1.79706048e-03], [-2.42951699e-02, 2.03663407e-03], [-2.40144987e-02, 2.30004780e-03], [-4.21006906e-03, 2.18038409e-02], [-3.99956561e-03, 2.20014012e-02], [-3.78906215e-03, 2.21810814e-02], [-3.57855870e-03, 2.23448832e-02], [-3.36805525e-03, 2.24943781e-02], [-3.15755180e-03, 2.26308241e-02], [-2.94704834e-03, 2.27552432e-02], [-2.73654489e-03, 2.28684762e-02], [-2.52604144e-03, 2.29712213e-02], [-2.31553798e-03, 2.30640627e-02], [-2.10503453e-03, 2.31474913e-02], [-1.89453108e-03, 2.32219209e-02], [-1.68402762e-03, 2.32877005e-02], [-1.47352417e-03, 2.33451235e-02], [-1.26302072e-03, 2.33944354e-02], [-1.05251727e-03, 2.34358394e-02], [-8.42013812e-04, 2.34695007e-02], [-6.31510359e-04, 2.34955504e-02], [-4.21006906e-04, 2.35140880e-02], [-2.10503453e-04, 2.35251830e-02], [ 0.00000000e+00, 2.35288768e-02], [ 2.10503453e-04, 2.35251830e-02], [ 4.21006906e-04, 2.35140880e-02], [ 6.31510359e-04, 2.34955504e-02], [ 8.42013812e-04, 2.34695007e-02], [ 1.05251727e-03, 2.34358394e-02], [ 1.26302072e-03, 2.33944354e-02], [ 1.47352417e-03, 2.33451235e-02], [ 1.68402762e-03, 2.32877005e-02], [ 1.89453108e-03, 2.32219209e-02], [ 2.10503453e-03, 2.31474913e-02], [ 2.31553798e-03, 2.30640627e-02], [ 2.52604144e-03, 2.29712213e-02], [ 2.73654489e-03, 2.28684762e-02], [ 2.94704834e-03, 2.27552432e-02], [ 3.15755180e-03, 2.26308241e-02], [ 3.36805525e-03, 2.24943781e-02], [ 3.57855870e-03, 2.23448832e-02], [ 3.78906215e-03, 2.21810814e-02], [ 3.99956561e-03, 2.20014012e-02], [ 4.21006906e-03, 2.18038409e-02], [ 2.40144987e-02, 2.30004780e-03], [ 2.42951699e-02, 2.03663407e-03], [ 2.45758412e-02, 1.79706048e-03], [ 2.48565125e-02, 1.57865814e-03], [ 2.51371838e-02, 1.37933151e-03], [ 2.54178550e-02, 1.19740355e-03], [ 2.56985263e-02, 1.03151143e-03], [ 2.59791976e-02, 8.80534094e-04], [ 2.62598688e-02, 7.43540544e-04], [ 2.65405401e-02, 6.19752025e-04], [ 2.68212114e-02, 5.08513914e-04], [ 2.71018827e-02, 4.09274431e-04], [ 2.73825539e-02, 3.21568336e-04], [ 2.76632252e-02, 2.45004304e-04], [ 2.79438965e-02, 1.79255089e-04], [ 2.82245677e-02, 1.24049839e-04], [ 2.85052390e-02, 7.91680863e-05], [ 2.87859103e-02, 4.44351087e-05], [ 2.90665815e-02, 1.97183915e-05], [ 2.93472528e-02, 4.92503864e-06], [ 2.96279241e-02, 0.00000000e+00], [ 4.01679241e-02, 0.00000000e+00]]) entry_angle np.float64(-0.21600502011964226) groove SquareGroove alpha1 np.float64(0.7777501289619068) alpha2 np.float64(0.7777501289619068) classifiers 'diamond' 'square' 'generic_elongation' contour_line LineString height 0.02352887675368554 length 0.09844743716085605 width 0.08033584817370697 depth np.float64(0.02352887675368554) flank_angle np.float64(0.7777501289619068) ground_width np.float64(0.004916886130280226) r1 0.008 r2 0.006 tip_angle None tip_depth 0.02595 usable_width 0.0527 max_radius 0.328 min_radius 0.3044711232463145 neutral_angle np.float64(-0.08350974660576393) nominal_radius 0.328 relative_neutral_angle np.float64(0.38661021192706085) roll_power np.float64(29596.051092930244) roll_torque np.float64(9405.899502727218) rotational_frequency np.float64(0.5007875988973073) temperature 293.15 working_radius 0.3189206845252471 working_velocity np.float64(1.0034970999918449) roll_force np.float64(269057.3735387114) roll_torque_loss_function np.float64(0.6345588262218422) rotation True spread 1.1240087572892634 stand_stiffness 100000000000.0 strain np.float64(0.2648756077590173) strain_rate np.float64(3.87505555362205) target_cross_section_area 0.001513083165326813 target_filling_ratio 1.0 target_width 0.0527 technologically_orientated_contour_lines MultiLineString height 0.050057753507371086 length 0.1968948743217121 width 0.08033584817370697 temperature_change np.float64(2.4928119539898095) temperature_change_by_contact np.float64(-3.4561608542129143) temperature_change_by_deformation np.float64(5.948972808202724) usable_cross_section Polygon area 0.001513083165326813 height 0.050057753507371086 perimeter 0.15003905934753262 width 0.0527 usable_width 0.0527 velocity 1 volume np.float64(0.00010907774672424502) wusatowski_exponent np.float64(0.5208066544950647) wusatowski_friction_coefficient 1 wusatowski_material_coefficient 1 wusatowski_temperature_coefficient 1 wusatowski_velocity_coefficient 0.9896957789713526 zouhar_contact_c1 1 zouhar_contact_c2 0.28 zouhar_contact_c3 1 zouhar_contact_in_width 4.0760146896440836e-11

sequence2.solve(in_profile)

[INFO] pyroll.core.Unit: Started solving of PassSequence.

[INFO] pyroll.core.Unit: Started solving of TwoRollPass 'Diamond I'.

[INFO] pyroll.core.Unit: Started solving of Rotator 'Auto-Rotator for TwoRollPass 'Diamond I''.

[INFO] pyroll.core.Unit: Finished solving of Rotator 'Auto-Rotator for TwoRollPass 'Diamond I'' after 2 iterations.

[INFO] pyroll.core.Unit: Solution took 0.002 s.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[INFO] pyroll.core.Unit: Finished solving of TwoRollPass 'Diamond I' after 5 iterations.

[INFO] pyroll.core.Unit: Solution took 0.035 s.

[INFO] pyroll.core.Unit: Started solving of Transport 'I->II'.

[INFO] pyroll.core.Unit: Finished solving of Transport 'I->II' after 2 iterations.

[INFO] pyroll.core.Unit: Solution took 0.002 s.

[INFO] pyroll.core.Unit: Started solving of TwoRollPass 'Square II'.

[INFO] pyroll.core.Unit: Started solving of Rotator 'Auto-Rotator for TwoRollPass 'Square II''.

[INFO] pyroll.core.Unit: Finished solving of Rotator 'Auto-Rotator for TwoRollPass 'Square II'' after 2 iterations.

[INFO] pyroll.core.Unit: Solution took 0.001 s.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[INFO] pyroll.core.Unit: Finished solving of TwoRollPass 'Square II' after 5 iterations.

[INFO] pyroll.core.Unit: Solution took 0.034 s.

[INFO] pyroll.core.Unit: Started solving of TwoRollPass 'Diamond I'.

[INFO] pyroll.core.Unit: Started solving of Rotator 'Auto-Rotator for TwoRollPass 'Diamond I''.

[INFO] pyroll.core.Unit: Finished solving of Rotator 'Auto-Rotator for TwoRollPass 'Diamond I'' after 2 iterations.

[INFO] pyroll.core.Unit: Solution took 0.002 s.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[INFO] pyroll.core.Unit: Finished solving of TwoRollPass 'Diamond I' after 5 iterations.

[INFO] pyroll.core.Unit: Solution took 0.032 s.

[INFO] pyroll.core.Unit: Started solving of Transport 'I->II'.

[INFO] pyroll.core.Unit: Finished solving of Transport 'I->II' after 1 iterations.

[INFO] pyroll.core.Unit: Solution took 0.001 s.

[INFO] pyroll.core.Unit: Started solving of TwoRollPass 'Square II'.

[INFO] pyroll.core.Unit: Started solving of Rotator 'Auto-Rotator for TwoRollPass 'Square II''.

[INFO] pyroll.core.Unit: Finished solving of Rotator 'Auto-Rotator for TwoRollPass 'Square II'' after 2 iterations.

[INFO] pyroll.core.Unit: Solution took 0.002 s.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[WARNING] root: No coulomb_friction_coefficient hook found. Continuing with 0.

[INFO] pyroll.core.Unit: Finished solving of TwoRollPass 'Square II' after 5 iterations.

[INFO] pyroll.core.Unit: Solution took 0.034 s.

[INFO] pyroll.core.Unit: Finished solving of PassSequence after 2 iterations.

[INFO] pyroll.core.Unit: Solution took 0.149 s.

Profile classifiers 'symmetric' 'diamond' 'square' 'generic_elongation' cross_section Polygon area 0.0014981782903678085 height 0.050057753507371086 perimeter 0.14608035422764684 width 0.05027060646412056 density 7500.0 length 0.0 material 'C45' specific_heat_capacity 690 strain np.float64(0.2648756077590173) t np.float64(0.5389144119735775) temperature np.float64(1374.6320593914515)

We cann now check, that the profile has cooled down in the transport by comparing the ouput profiles of both sequences.

sequence.out_profile.temperature > sequence2.out_profile.temperature

np.True_

We can iterate over all roll passes in the sequence with the .roll_passes property.

[u.label for u in sequence2.roll_passes]

['Diamond I', 'Square II']

And respectively over all transports.

[u.label for u in sequence2.transports]

['I->II']