Challenge

Week 4- Rolling operation

OBJECTIVE- To simulate rolling operation on a workpiece made of copper alloy and find out the required output in ANSYS.

PROCEDURE-

  • Open Ansys Workbench and choose static structural.
  • In the Engineering data, let the material be structural steel and also choose Copper Alloy non-linear from General non-linear material with default values.

  • For the geometry, right-click and import the given Copper_Rolling.stp and open with space claim.

  • Using the 'Pull' option sketch edit elongate the workpiece length to 60mm and from either side reduce 8mm thickness.

  • Now in the workbench goto Model -> Edit, in the model window check the Geometry for the material and assign Structural Steel to the wheel and Copper Alloy NL to the workpiece.

  • For contacts, first, flip contact/target for both the contacts and select 'rename based on definition', for each contact select the required target and contact bodies then for both contact assign the contacts Type= Frictional and Friction coefficient= 0.2, Formulation= Augmented Lagrange, Normal Stiffness= Factor, Normal stiffness factor= 0.1, update stiffness= each iteration and Interface Treatment= Add Offset, Ramped Effects. 

  • For joints, the 2 wheels will have rotation along the z-axis so joints are created for the 2 wheels by Connection -> Joint -> Body to ground -> Cylindrical, click on Scope= select inner face of the wheel and also reverse the z-axis by clicking on Coordinate system= Reference coordinate system.

 

  • For mesh, as the scope of the result is for workpiece it should have meshed with a smaller element size 2 mm for that right-click on mesh select body sizing and choose the geometry as workpiece and element size 2 mm, click on generate mesh.

  • For the analysis setting, the number of steps will be 14 select all the steps and provide Large Deflection= on, under Non-Linear Control, stabilization= constant, method= energy and energy dissipation= 0.1.

  • Now apply displacement to the workpiece by selecting the 2 sides of it in the y-axis in tabular format such that the workpiece travels 90mm.

 

  • For the 2 wheels apply the joint load, type= rotation and dof= rotation z and magnitude= tabular such that one wheel rotates clockwise and the other anticlockwise.

  • Provide the required output request for the solution like Equivalent stress for the whole setup, Equivalent Plastic strain for the workpiece, Directional Deformation in the Z-axis for the workpiece and to prove that the workpiece has displaced by 90mm choose Directional deformation and select the front 2 surfaces of the workpiece.

RESULT:-

Equivalent Stress On The Whole Setup

Time  Minimum (MPa) Maximum (MPa) Average (MPa)
7.00E-02 3.51E-06 384.82 17.459
0.14 3.55E-08 534.15 29.675
0.245 1.77E-07 559.36 43.83
0.30012 2.60E-10 538.74 48.447
0.35525 3.30E-10 534.93 52.886
0.43794 4.56E-10 576.93 59.867
0.52062 5.32E-10 612.23 65.333
0.56404 6.86E-10 599 67.566
0.60745 7.49E-10 614.28 69.657
0.67256 9.66E-10 663.55 75.348
0.77024 1.09E-09 763.87 84.331
0.81712 1.55E-09 789.98 88.148
0.86401 1.73E-09 828.33 92.302
0.93433 2.17E-09 947.02 103.15
1 2.82E-09 1102.4 114.71
1.07 3.63E-09 1170.7 123.77
1.14 5.67E-09 1235.3 131.4
1.1761 6.59E-09 1265.6 135.31
1.2122 7.34E-09 1294.1 138.97
1.2663 8.47E-09 1334.5 144.49
1.3474 1.01E-08 1398.6 152.57
1.4426 1.27E-08 1480.9 161.89
1.5464 1.68E-08 1561.8 172.66
1.6415 4.58E-07 1630.3 182.64
1.7366 5.16E-07 1714.3 192.39
1.8335 4.26E-08 1790.7 202.09
1.9314 1.29E-05 1861.2 212.36
2 6.63E-07 1905.7 219.6
2.07 5.71E-08 1904.5 204.1
2.14 7.47E-08 1931.5 204.5
2.245 8.56E-08 1973.2 223.45
2.3613 1.06E-07 2030.7 241.38
2.4021 1.16E-07 2048.9 243.69
2.4428 1.29E-07 2068.6 246.85
2.5038 1.37E-07 2096.2 251.28
2.5955 1.59E-07 2137 257.97
2.6871 1.86E-07 2177.3 264.46
2.8049 2.31E-07 2228.1 270.18
2.9052 2.71E-07 2272.3 277.14
3 3.20E-07 2309.1 283.21
3.07 3.69E-07 2337.9 288.56
3.14 5.02E-07 2371.5 291.45
3.245 5.71E-07 2421.6 298.28
3.3546 6.68E-07 2467.3 306.6
3.4676 8.54E-07 2505.4 314.04
3.5634 9.91E-07 2532.3 320.01
3.6592 1.16E-06 2550.6 329.23
3.7731 1.52E-06 2566.7 337.51
3.876 6.19E-05 2595.4 344.68
3.938 2.08E-06 2609.5 350.41
4 2.28E-06 2620.5 354.8
4.07 2.57E-06 2630 360.27
4.14 3.54E-06 2636.2 365.17
4.245 3.93E-06 2620.6 371.91
4.35 4.59E-06 2638.4 378.06
4.4631 6.11E-06 2650 385.05
4.5707 5.78E-04 2661.5 388.91
4.6784 8.91E-06 2681.3 396.62
4.791 7.11E-05 2694.5 401.58
4.9049 4.70E-04 2689.6 405.04
5 1.62E-05 2708.5 408.51
5.07 1.84E-05 2719.4 413.58
5.14 2.33E-05 2725.6 415.81
5.245 2.72E-05 2692.3 420.61
5.35 3.16E-05 2712.7 423.22
5.4641 4.06E-05 2726.2 427.21
5.561 4.08E-04 2686 429.19
5.6579 5.90E-05 2707.4 435.05
5.77 7.25E-05 2723.6 438.34
5.873 1.12E-04 2693.9 438.39
5.9365 1.05E-04 2668.2 444.87
6 1.16E-04 2681.1 446.51
6.07 1.29E-04 2692.8 448.96
6.14 1.84E-04 2698.1 447.69
6.245 2.06E-04 2670.3 449.5
6.3536 2.39E-04 2690.2 450.26
6.4661 3.14E-04 2701.8 453.39
6.5749 2.02E-04 2646.5 455.4
6.6836 3.47E-04 2668.6 460.19
6.7962 5.83E-04 2682.4 463.44
6.9073 2.57E-04 2649.5 466.68
7 2.15E-04 2668.9 470.06
7.07 2.94E-04 2680.8 477.48
7.14 3.89E-04 2685.4 477.26
7.245 2.82E-04 2642.4 480.17
7.3548 2.07E-04 2663.8 484.69
7.4665 7.06E-04 2675.7 488.26
7.5649 1.80E-04 2639.4 490.12
7.6633 5.40E-04 2660.1 496.69
7.7765 4.57E-04 2676 500.71
7.879 5.74E-04 2630.3 501.25
7.9395 5.89E-04 2644.4 506.78
8 5.63E-04 2656.6 508.66
8.07 6.53E-04 2668.3 515.11
8.14 4.92E-04 2673.2 514.96
8.245 4.87E-04 2650.2 518.89
8.3552 6.61E-04 2671.4 522.77
8.4683 8.45E-04 2682.4 526.13
8.5645 5.72E-04 2635.6 528.04
8.6608 4.34E-04 2655.9 534.49
8.7744 4.05E-04 2671.4 537.61
8.8903 8.42E-04 2631.7 539.69
9 9.53E-04 2654.9 545.87
9.07 1.12E-03 2667 552.28
9.14 8.10E-04 2671.6 553.16
9.245 6.08E-04 2643.5 557.32
9.3549 1.21E-03 2664.4 561.16
9.467 2.01E-03 2676.3 564.35
9.5756 1.21E-03 2642 565.72
9.6135 1.47E-03 2649.2 570.78
9.6515 1.65E-03 2656.9 571.55
9.7085 1.93E-03 2666.6 572.77
9.794 1.77E-03 2676.3 575.7
9.9029 1.20E-03 2652 576.65
10 1.20E-03 2653.7 583.22
10.07 1.01E-03 2661.9 589.84
10.14 2.03E-03 2667.1 590.8
10.245 2.04E-03 2658.8 594.85
10.355 2.83E-03 2661.9 597.22
10.469 4.46E-03 2673.6 602.02
10.577 3.15E-03 2664.6 603.64
10.614 3.44E-03 2664.4 608.76
10.652 2.10E-02 2665.3 609.19
10.709 3.98E-03 2665.7 610.73
10.794 3.50E-03 2673.3 613.61
10.898 2.55E-03 2668.5 614.8
11 2.75E-03 2670.1 620.9
11.07 8.70E-04 2664.5 602.64
11.14 2.71E-03 2706.9 599.86
11.199 2.72E-03 2712.2 606.31
11.259 2.62E-03 2714.6 614.68
11.328 2.65E-03 2716.2 625.33
11.398 2.50E-03 2716.7 635.51
11.458 2.28E-03 2717 643.16
11.518 2.47E-03 2717.4 649.83
11.589 2.99E-03 2718 657.8
11.653 3.39E-03 2718.6 665.12
11.717 4.21E-03 2719.1 671.78
11.786 4.97E-03 2719.7 678.26
11.859 4.39E-03 2720 685.65
11.93 3.44E-03 2720.1 692.42
12 2.88E-03 2719.9 698.26
12.07 1.22E-03 2713.1 691.99
12.132 3.02E-03 2724.3 708.29
12.193 2.24E-03 2742 714.54
12.253 2.34E-03 2756.9 719.35
12.314 3.65E-03 2763.2 724.67
12.376 4.38E-03 2783.6 729.88
12.439 5.88E-03 2802.7 736.42
12.506 7.10E-03 2818.4 741.44
12.573 9.00E-03 2833.5 747.19
12.643 8.49E-03 2858.1 752.65
12.705 8.27E-03 2877.7 758.87
12.766 7.87E-03 2890.8 763.77
12.834 7.63E-03 2899.9 769.13
12.903 6.75E-03 2910.3 774.56
12.973 6.09E-03 2930.8 781.26
13 1.88E-02 2937.8 783.54
13.068 3.10E-03 2951.9 774.51
13.126 5.43E-03 2955.8 789.18
13.185 5.70E-03 2960 793.47
13.254 6.28E-03 2978 799.36
13.323 7.50E-03 2990.5 803.19
13.387 8.56E-03 2996.1 806.3
13.451 8.92E-03 3012.1 808.48
13.527 9.55E-03 3031.9 813.05
13.607 1.05E-02 3054.6 815.32
13.679 1.20E-02 3101.8 817.58
13.751 1.18E-02 3138.3 819.31
13.835 1.11E-02 3180.1 821.96
13.923 9.48E-03 3216.9 822.91
14 8.36E-03 3245.6 823.81
  • After the simulation, the equivalent stress on the whole setup is generated from which the workpiece experiences the maximum stress of about 3245.6 MPa and wheel 1 experiences the minimum stress of about 8.358e-003 MPa.

Equivalent Plastic Strain For The Workpiece

Time  Minimum (mm/mm) Maximum (mm/mm) Average (mm/mm)
7.00E-02 0.00E+00 2.39E-02 1.89E-04
0.14 0.00E+00 5.46E-02 1.37E-03
0.245 0.00E+00 0.11536 4.80E-03
0.30012 0.00E+00 0.13213 6.13E-03
0.35525 0.00E+00 0.15118 7.70E-03
0.43794 0.00E+00 0.19948 1.13E-02
0.52062 0.00E+00 0.24714 1.52E-02
0.56404 0.00E+00 0.25842 1.63E-02
0.60745 0.00E+00 0.27104 1.76E-02
0.67256 0.00E+00 0.31202 2.12E-02
0.77024 0.00E+00 0.39534 2.86E-02
0.81712 0.00E+00 0.41721 3.11E-02
0.86401 0.00E+00 0.4482 3.44E-02
0.93433 0.00E+00 0.53969 4.32E-02
1 0.00E+00 0.65839 5.53E-02
1.07 0.00E+00 0.71192 6.12E-02
1.14 0.00E+00 0.76398 6.73E-02
1.1761 0.00E+00 0.78833 7.05E-02
1.2122 0.00E+00 0.81116 7.36E-02
1.2663 0.00E+00 0.84325 7.82E-02
1.3474 0.00E+00 0.88736 8.51E-02
1.4426 0.00E+00 0.93302 9.31E-02
1.5464 0.00E+00 0.99135 0.10187
1.6415 0.00E+00 1.0405 0.10997
1.7366 0.00E+00 1.0841 0.11805
1.8335 0.00E+00 1.1229 0.1262
1.9314 0.00E+00 1.1709 0.13446
2 0.00E+00 1.202 0.14026
2.07 0.00E+00 1.2022 0.14368
2.14 0.00E+00 1.2124 0.14768
2.245 0.00E+00 1.2262 0.15375
2.3613 0.00E+00 1.2403 0.16089
2.4021 0.00E+00 1.2448 0.16335
2.4428 0.00E+00 1.2494 0.16588
2.5038 0.00E+00 1.2555 0.16963
2.5955 0.00E+00 1.2635 0.17529
2.6871 0.00E+00 1.27 0.18099
2.8049 0.00E+00 1.2785 0.1883
2.9052 0.00E+00 1.2885 0.19463
3 0.00E+00 1.2956 0.20056
3.07 0.00E+00 1.2996 0.20473
3.14 0.00E+00 1.3028 0.20938
3.245 0.00E+00 1.3059 0.21606
3.3546 0.00E+00 1.3072 0.22303
3.4676 0.00E+00 1.3072 0.23007
3.5634 0.00E+00 1.3072 0.23619
3.6592 0.00E+00 1.3078 0.24222
3.7731 0.00E+00 1.3162 0.24934
3.876 0.00E+00 1.3361 0.2558
3.938 0.00E+00 1.3487 0.25974
4 0.00E+00 1.3661 0.26371
4.07 0.00E+00 1.3827 0.26779
4.14 0.00E+00 1.3979 0.27242
4.245 0.00E+00 1.4166 0.27906
4.35 0.00E+00 1.4312 0.28574
4.4631 0.00E+00 1.4424 0.29284
4.5707 0.00E+00 1.4499 0.29977
4.6784 0.00E+00 1.4568 0.30662
4.791 0.00E+00 1.4683 0.3137
4.9049 0.00E+00 1.4758 0.32083
5 0.00E+00 1.4799 0.32687
5.07 0.00E+00 1.4816 0.33105
5.14 0.00E+00 1.4826 0.33547
5.245 0.00E+00 1.483 0.34207
5.35 0.00E+00 1.483 0.34871
5.4641 0.00E+00 1.483 0.35578
5.561 0.00E+00 1.483 0.36194
5.6579 0.00E+00 1.483 0.36811
5.77 0.00E+00 1.483 0.37511
5.873 0.00E+00 1.483 0.38157
5.9365 0.00E+00 1.483 0.38564
6 0.00E+00 1.483 0.38971
6.07 0.00E+00 1.483 0.394
6.14 0.00E+00 1.483 0.39884
6.245 0.00E+00 1.483 0.4057
6.3536 0.00E+00 1.483 0.41277
6.4661 0.00E+00 1.483 0.41991
6.5749 0.00E+00 1.483 0.42689
6.6836 0.00E+00 1.483 0.43394
6.7962 0.00E+00 1.483 0.44105
6.9073 0.00E+00 1.483 0.44807
7 0.00E+00 1.483 0.45403
7.07 0.00E+00 1.483 0.45813
7.14 0.00E+00 1.483 0.46282
7.245 0.00E+00 1.483 0.46953
7.3548 0.00E+00 1.483 0.47663
7.4665 0.00E+00 1.483 0.48366
7.5649 0.00E+00 1.483 0.49
7.6633 0.00E+00 1.483 0.4963
7.7765 0.00E+00 1.483 0.50343
7.879 0.00E+00 1.483 0.50999
7.9395 0.00E+00 1.483 0.51383
8 0.00E+00 1.483 0.51774
8.07 0.00E+00 1.483 0.52185
8.14 0.00E+00 1.483 0.52656
8.245 0.00E+00 1.483 0.53329
8.3552 0.00E+00 1.483 0.5404
8.4683 0.00E+00 1.483 0.54754
8.5645 0.00E+00 1.483 0.55377
8.6608 0.00E+00 1.483 0.55994
8.7744 0.00E+00 1.483 0.56708
8.8903 0.00E+00 1.483 0.57435
9 0.00E+00 1.483 0.58136
9.07 0.00E+00 1.483 0.58553
9.14 0.00E+00 1.483 0.59024
9.245 0.00E+00 1.483 0.59697
9.3549 0.00E+00 1.483 0.60405
9.467 0.00E+00 1.483 0.61111
9.5756 0.00E+00 1.483 0.61808
9.6135 0.00E+00 1.483 0.62054
9.6515 0.00E+00 1.483 0.62303
9.7085 0.00E+00 1.483 0.62668
9.794 0.00E+00 1.483 0.63207
9.9029 0.00E+00 1.483 0.63898
10 0.00E+00 1.483 0.64515
10.07 0.00E+00 1.483 0.6493
10.14 0.00E+00 1.483 0.65398
10.245 0.00E+00 1.483 0.66071
10.355 0.00E+00 1.483 0.66778
10.469 0.00E+00 1.483 0.67491
10.577 0.00E+00 1.483 0.68187
10.614 0.00E+00 1.483 0.68432
10.652 0.00E+00 1.483 0.68679
10.709 0.00E+00 1.483 0.69043
10.794 0.00E+00 1.483 0.6958
10.898 0.00E+00 1.483 0.70239
11 0.00E+00 1.483 0.70888
11.07 0.00E+00 1.483 0.71562
11.14 0.00E+00 1.483 0.72272
11.199 0.00E+00 1.483 0.7287
11.259 0.00E+00 1.483 0.73461
11.328 0.00E+00 1.483 0.74146
11.398 0.00E+00 1.4916 0.7482
11.458 0.00E+00 1.499 0.75409
11.518 0.00E+00 1.5041 0.75991
11.589 0.00E+00 1.5079 0.76663
11.653 0.00E+00 1.5148 0.77273
11.717 0.00E+00 1.5213 0.77882
11.786 0.00E+00 1.5261 0.78544
11.859 0.00E+00 1.5379 0.79234
11.93 0.00E+00 1.5465 0.79922
12 0.00E+00 1.5553 0.806
12.07 0.00E+00 1.5668 0.81264
12.132 0.00E+00 1.576 0.81894
12.193 3.55E-05 1.5866 0.82495
12.253 9.12E-05 1.5996 0.83086
12.314 1.43E-04 1.6097 0.8366
12.376 5.13E-04 1.6183 0.84249
12.439 5.13E-04 1.6248 0.8483
12.506 5.13E-04 1.6367 0.85447
12.573 5.13E-04 1.6471 0.86061
12.643 5.13E-04 1.6554 0.8669
12.705 5.13E-04 1.6613 0.87237
12.766 5.13E-04 1.6651 0.87766
12.834 5.13E-04 1.6682 0.88342
12.903 5.13E-04 1.6701 0.88922
12.973 5.13E-04 1.671 0.89491
13 5.13E-04 1.6728 0.8971
13.068 5.13E-04 1.6761 0.90233
13.126 5.13E-04 1.6776 0.90693
13.185 5.13E-04 1.6788 0.91138
13.254 5.13E-04 1.6804 0.91634
13.323 5.13E-04 1.686 0.92109
13.387 5.13E-04 1.6947 0.92538
13.451 5.13E-04 1.7088 0.92946
13.527 5.13E-04 1.7339 0.93396
13.607 5.13E-04 1.7581 0.93849
13.679 5.13E-04 1.7778 0.9424
13.751 5.13E-04 1.7953 0.946
13.835 5.13E-04 1.8294 0.95002
13.923 5.13E-04 1.866 0.95387
14 5.13E-04 1.9025 0.95707
  • The equivalent plastic strain on the workpiece shows that the tip of the workpiece experiences the least strain which is about 5.1276e-004 mm/mm and the strain at the end of the workpiece is maximum which is about 1.9025 mm/mm.

Directional Deformation in the Z-axis for the workpiece

  • After the rolling operation, the workpiece thickness is increased along the Z-axis the maximum deformation is about 5.2584 mm.

Prove that the workpiece has displaced by 90mm

  • From the above directional deformation simulation and the graph it can be observed that the workpiece has displaced by near to 90mm the maximum displacement observed is -89.562 mm along the Y-axis. 

CONCLUSION:-

So by completing the analysis of the rolling operation of the workpiece of copper alloy non-linear it can be observed that the maximum equivalent stress experienced by it is about 3245.6 MPa while the thickness along Z-axis is increased maximum of 5.2584 mm as the workpiece is displaced along the y-axis to the maximum displacement of -89.562 mm.

Simulation File- https://drive.google.com/file/d/1B1SGZ0X4_AHeGUEM1DE9cgGPzn_a4yB-/view?usp=sharing

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