Worm Gear Challenge
Aim:
To perform a transient structural analysis on a worm gear assembly.
Objective:
We will have to rotate the worm so as to get to almost end of the half cut and get results for Equivalent Stress, Equivalent Elastic Strain and the Total Deformation in the model.
Procedure:
At first we will be importing the geometry model into ANSYS-WORKBENCH and then we will cut the gear alone into half in Space-claim. The final geometry model on which the analysis will be performed is shown in the image below.
Now, we will be providing Connections such as Contacts and Joints for the case setup model and then set boundary conditions for the model.
First, we will be providing Contact Connections as Frictionless between the Worm and Gear as shown in the image below by selecting required tooth on both the bodies.
Now, for the Joint Connections we will be providing Revolute for the Ground to Gear as shown in the image below by selecting required face.
Then we will be providing Revolute Joint Connections for the Ground to Worm as shown in the image below by selecting the required face.
Finally, we will be meshing the model and the meshed model is shown in the image below.
Simulation:
Total Deformation:
|
Time [s] |
Minimum [mm] |
Maximum [mm] |
Average [mm] |
|
|
1 |
0.2 |
6.66E-02 |
1.2933 |
0.58459 |
|
2 |
0.4 |
0.16141 |
2.5748 |
1.1684 |
|
3 |
0.6 |
0.24568 |
3.8366 |
1.7439 |
|
4 |
0.8 |
0.3291 |
5.0694 |
2.3065 |
|
5 |
1 |
0.41304 |
6.2638 |
2.853 |
|
6 |
1.2 |
0.49631 |
7.4103 |
3.379 |
|
7 |
1.4 |
0.57879 |
8.5005 |
3.8806 |
|
8 |
1.6 |
0.66272 |
9.5261 |
4.3554 |
|
9 |
1.8 |
0.74646 |
10.479 |
4.7993 |
|
10 |
2 |
0.83008 |
11.352 |
5.2093 |
|
11 |
2.2 |
0.91425 |
12.139 |
5.5828 |
|
12 |
2.4 |
0.99788 |
12.834 |
5.9168 |
|
13 |
2.6 |
1.0822 |
13.431 |
6.2096 |
|
14 |
2.8 |
1.1657 |
13.925 |
6.4587 |
|
15 |
3 |
1.2493 |
14.313 |
6.6627 |
|
16 |
3.2 |
1.333 |
14.593 |
6.8205 |
|
17 |
3.4 |
1.4171 |
14.762 |
6.9312 |
|
18 |
3.6 |
1.5006 |
14.818 |
6.994 |
|
19 |
3.8 |
1.5844 |
14.762 |
7.009 |
|
20 |
4 |
1.6679 |
14.593 |
6.9761 |
|
21 |
4.2 |
1.7515 |
14.313 |
6.896 |
|
22 |
4.4 |
1.835 |
13.925 |
6.7697 |
|
23 |
4.6 |
1.9187 |
13.43 |
6.5983 |
|
24 |
4.8 |
2.0024 |
12.834 |
6.3836 |
|
25 |
5 |
2.0867 |
12.139 |
6.1276 |
|
26 |
5.2 |
2.1706 |
11.353 |
5.8321 |
|
27 |
5.4 |
2.2546 |
10.479 |
5.5001 |
|
28 |
5.6 |
2.3382 |
9.5262 |
5.1339 |
|
29 |
5.8 |
2.3649 |
8.5007 |
4.737 |
|
30 |
6 |
2.0615 |
7.4105 |
4.3119 |
|
31 |
6.2 |
1.7425 |
6.2642 |
3.8637 |
|
32 |
6.4 |
1.4102 |
5.0697 |
3.3949 |
|
33 |
6.6 |
1.0671 |
3.8368 |
2.9099 |
|
34 |
6.8 |
0.71596 |
3.3054 |
2.4126 |
|
35 |
7 |
0.35935 |
3.4009 |
1.9069 |
|
36 |
7.2 |
4.44E-16 |
3.4988 |
1.3973 |
|
37 |
7.4 |
0.35935 |
3.5968 |
1.9849 |
|
38 |
7.6 |
0.71596 |
3.6947 |
2.5686 |
|
39 |
7.8 |
1.0671 |
3.8366 |
3.144 |
|
40 |
8 |
1.4102 |
5.0694 |
3.7065 |
|
41 |
8.2 |
1.7425 |
6.2638 |
4.2529 |
|
42 |
8.4 |
2.0615 |
7.4103 |
4.7788 |
|
43 |
8.6 |
2.3649 |
8.5005 |
5.2803 |
|
44 |
8.8 |
2.6503 |
9.5261 |
5.755 |
|
45 |
9 |
2.9154 |
10.479 |
6.1988 |
|
46 |
9.2 |
3.1584 |
11.352 |
6.6086 |
|
47 |
9.4 |
3.3774 |
12.139 |
6.982 |
|
48 |
9.6 |
3.5707 |
12.834 |
7.3159 |
|
49 |
9.8 |
3.7368 |
13.431 |
7.6085 |
|
50 |
10 |
3.8744 |
13.925 |
7.8573 |
|
51 |
10.2 |
3.9826 |
14.313 |
8.0611 |
|
52 |
10.4 |
4.0604 |
14.593 |
8.2187 |
|
53 |
10.6 |
4.1074 |
14.762 |
8.3292 |
|
54 |
10.8 |
4.1231 |
14.818 |
8.3918 |
|
55 |
11 |
4.1074 |
14.762 |
8.4066 |
|
56 |
11.2 |
4.0604 |
14.593 |
8.3734 |
|
57 |
11.4 |
3.9826 |
14.313 |
8.2931 |
|
58 |
11.6 |
3.8744 |
13.925 |
8.1664 |
|
59 |
11.8 |
3.7368 |
13.43 |
7.9948 |
|
60 |
12 |
3.5707 |
12.834 |
7.7796 |
|
61 |
12.2 |
3.3774 |
12.139 |
7.5231 |
|
62 |
12.4 |
3.1584 |
11.353 |
7.2273 |
|
63 |
12.6 |
2.9154 |
10.48 |
6.8948 |
|
64 |
12.8 |
2.6503 |
9.5268 |
6.5282 |
|
65 |
13 |
2.3649 |
8.5013 |
6.131 |
|
66 |
13.2 |
2.0615 |
7.4107 |
5.7051 |
|
67 |
13.4 |
1.7425 |
6.488 |
5.2565 |
|
68 |
13.6 |
1.4102 |
6.5824 |
4.7874 |
|
69 |
13.8 |
1.0671 |
6.6779 |
4.3021 |
|
70 |
14 |
0.71596 |
6.7731 |
3.8044 |
|
71 |
14.2 |
0.35935 |
6.868 |
3.2983 |
|
72 |
14.4 |
8.88E-16 |
6.9625 |
2.7881 |
|
73 |
14.6 |
0.35935 |
7.0578 |
3.3751 |
|
74 |
14.8 |
0.71596 |
7.1523 |
3.9584 |
|
75 |
15 |
1.0671 |
7.2477 |
4.5332 |
Simulation Video - https://drive.google.com/file/d/1-1ztsTNk2a5UuINJlHxmuD8JuCeY1aqY/view?usp=sharing
Equivalent Elastic Strain:
|
Time [s] |
Minimum [mm/mm] |
Maximum [mm/mm] |
Average [mm/mm] |
|
|
1 |
0.2 |
1.37E-11 |
5.46E-03 |
2.04E-04 |
|
2 |
0.4 |
8.80E-12 |
5.30E-03 |
2.01E-04 |
|
3 |
0.6 |
8.54E-12 |
5.35E-03 |
2.01E-04 |
|
4 |
0.8 |
1.62E-11 |
5.54E-03 |
2.01E-04 |
|
5 |
1 |
1.26E-11 |
5.65E-03 |
2.02E-04 |
|
6 |
1.2 |
1.36E-11 |
5.84E-03 |
2.02E-04 |
|
7 |
1.4 |
2.69E-11 |
5.86E-03 |
2.09E-04 |
|
8 |
1.6 |
1.95E-13 |
5.81E-03 |
2.07E-04 |
|
9 |
1.8 |
1.18E-11 |
6.05E-03 |
2.07E-04 |
|
10 |
2 |
1.92E-11 |
5.93E-03 |
2.03E-04 |
|
11 |
2.2 |
9.92E-11 |
6.10E-03 |
2.02E-04 |
|
12 |
2.4 |
1.04E-11 |
6.07E-03 |
1.99E-04 |
|
13 |
2.6 |
9.11E-12 |
6.06E-03 |
1.95E-04 |
|
14 |
2.8 |
9.50E-12 |
6.16E-03 |
1.93E-04 |
|
15 |
3 |
2.98E-11 |
6.19E-03 |
1.90E-04 |
|
16 |
3.2 |
1.65E-11 |
6.29E-03 |
1.90E-04 |
|
17 |
3.4 |
3.57E-11 |
6.23E-03 |
1.92E-04 |
|
18 |
3.6 |
2.22E-11 |
6.22E-03 |
1.92E-04 |
|
19 |
3.8 |
1.54E-11 |
6.19E-03 |
1.95E-04 |
|
20 |
4 |
1.00E-12 |
6.15E-03 |
1.95E-04 |
|
21 |
4.2 |
1.85E-11 |
6.14E-03 |
1.98E-04 |
|
22 |
4.4 |
3.62E-11 |
6.10E-03 |
2.00E-04 |
|
23 |
4.6 |
2.98E-11 |
6.08E-03 |
2.01E-04 |
|
24 |
4.8 |
1.32E-10 |
5.98E-03 |
2.03E-04 |
|
25 |
5 |
1.25E-11 |
5.86E-03 |
2.02E-04 |
|
26 |
5.2 |
1.06E-10 |
5.84E-03 |
2.03E-04 |
|
27 |
5.4 |
2.60E-13 |
5.91E-03 |
2.05E-04 |
|
28 |
5.6 |
1.28E-12 |
5.81E-03 |
2.05E-04 |
|
29 |
5.8 |
1.95E-13 |
5.84E-03 |
2.08E-04 |
|
30 |
6 |
5.47E-10 |
5.76E-03 |
2.02E-04 |
|
31 |
6.2 |
2.05E-11 |
5.79E-03 |
2.05E-04 |
|
32 |
6.4 |
1.65E-11 |
5.58E-03 |
2.05E-04 |
|
33 |
6.6 |
2.30E-11 |
5.59E-03 |
2.05E-04 |
|
34 |
6.8 |
1.19E-11 |
5.42E-03 |
2.02E-04 |
|
35 |
7 |
2.81E-11 |
5.29E-03 |
2.03E-04 |
|
36 |
7.2 |
6.29E-11 |
5.10E-03 |
2.03E-04 |
|
37 |
7.4 |
3.04E-11 |
5.22E-03 |
2.04E-04 |
|
38 |
7.6 |
1.13E-11 |
5.08E-03 |
2.01E-04 |
|
39 |
7.8 |
2.03E-12 |
5.18E-03 |
2.02E-04 |
|
40 |
8 |
1.86E-11 |
5.43E-03 |
2.02E-04 |
|
41 |
8.2 |
1.41E-11 |
5.55E-03 |
2.02E-04 |
|
42 |
8.4 |
1.19E-11 |
5.74E-03 |
2.02E-04 |
|
43 |
8.6 |
2.89E-11 |
6.04E-03 |
2.09E-04 |
|
44 |
8.8 |
6.32E-13 |
6.15E-03 |
2.07E-04 |
|
45 |
9 |
1.03E-11 |
6.26E-03 |
2.07E-04 |
|
46 |
9.2 |
1.86E-11 |
6.38E-03 |
2.03E-04 |
|
47 |
9.4 |
9.07E-11 |
6.39E-03 |
2.02E-04 |
|
48 |
9.6 |
1.03E-11 |
6.54E-03 |
1.98E-04 |
|
49 |
9.8 |
1.11E-11 |
6.58E-03 |
1.95E-04 |
|
50 |
10 |
5.45E-13 |
6.73E-03 |
1.91E-04 |
|
51 |
10.2 |
1.01E-11 |
6.78E-03 |
1.87E-04 |
|
52 |
10.4 |
1.06E-11 |
6.91E-03 |
1.86E-04 |
|
53 |
10.6 |
1.01E-12 |
6.86E-03 |
1.87E-04 |
|
54 |
10.8 |
2.73E-11 |
6.87E-03 |
1.85E-04 |
|
55 |
11 |
1.02E-11 |
6.85E-03 |
1.87E-04 |
|
56 |
11.2 |
7.46E-12 |
6.83E-03 |
1.86E-04 |
|
57 |
11.4 |
1.30E-12 |
6.84E-03 |
1.89E-04 |
|
58 |
11.6 |
6.04E-13 |
6.84E-03 |
1.88E-04 |
|
59 |
11.8 |
4.48E-11 |
6.84E-03 |
1.87E-04 |
|
60 |
12 |
2.14E-11 |
6.82E-03 |
1.87E-04 |
|
61 |
12.2 |
6.12E-12 |
6.78E-03 |
1.84E-04 |
|
62 |
12.4 |
1.57E-11 |
6.76E-03 |
1.82E-04 |
|
63 |
12.6 |
3.26E-12 |
6.65E-03 |
1.81E-04 |
|
64 |
12.8 |
6.09E-13 |
6.64E-03 |
1.79E-04 |
|
65 |
13 |
9.12E-13 |
6.54E-03 |
1.78E-04 |
|
66 |
13.2 |
3.02E-14 |
6.85E-03 |
1.65E-04 |
|
67 |
13.4 |
5.54E-11 |
6.76E-03 |
1.65E-04 |
|
68 |
13.6 |
4.14E-11 |
6.65E-03 |
1.62E-04 |
|
69 |
13.8 |
4.04E-11 |
6.62E-03 |
1.60E-04 |
|
70 |
14 |
8.56E-12 |
6.43E-03 |
1.55E-04 |
|
71 |
14.2 |
1.88E-11 |
6.36E-03 |
1.53E-04 |
|
72 |
14.4 |
5.12E-13 |
6.28E-03 |
1.49E-04 |
|
73 |
14.6 |
1.08E-11 |
6.23E-03 |
1.48E-04 |
|
74 |
14.8 |
6.47E-12 |
6.03E-03 |
1.42E-04 |
|
75 |
15 |
4.13E-12 |
5.91E-03 |
1.41E-04 |
Simulation Video - https://drive.google.com/file/d/12RN-IZM5MWKx4Ps9AktI2W1bopMhaxIP/view?usp=sharing
Equivalent Stress:
|
Time [s] |
Minimum [MPa] |
Maximum [MPa] |
Average [MPa] |
|
|
1 |
0.2 |
1.92E-06 |
964.23 |
31.552 |
|
2 |
0.4 |
6.65E-07 |
921.22 |
31.024 |
|
3 |
0.6 |
7.64E-07 |
918.64 |
31.259 |
|
4 |
0.8 |
2.27E-06 |
906.89 |
31.156 |
|
5 |
1 |
1.77E-06 |
904.65 |
31.241 |
|
6 |
1.2 |
2.02E-06 |
910.08 |
31.022 |
|
7 |
1.4 |
3.71E-06 |
960.88 |
32.336 |
|
8 |
1.6 |
2.70E-08 |
979.12 |
31.81 |
|
9 |
1.8 |
1.52E-06 |
997.03 |
32.013 |
|
10 |
2 |
2.50E-06 |
1016.9 |
31.274 |
|
11 |
2.2 |
1.33E-05 |
1019.7 |
31.365 |
|
12 |
2.4 |
1.51E-06 |
1044.7 |
30.598 |
|
13 |
2.6 |
1.15E-06 |
1051.3 |
30.267 |
|
14 |
2.8 |
1.31E-06 |
1075.3 |
29.682 |
|
15 |
3 |
4.12E-06 |
1082.1 |
29.34 |
|
16 |
3.2 |
2.12E-06 |
1103.5 |
29.085 |
|
17 |
3.4 |
4.87E-06 |
1092.9 |
29.71 |
|
18 |
3.6 |
2.23E-06 |
1093.7 |
29.415 |
|
19 |
3.8 |
1.95E-06 |
1091.5 |
30.109 |
|
20 |
4 |
1.35E-07 |
1085.9 |
30.04 |
|
21 |
4.2 |
1.93E-06 |
1087.1 |
30.662 |
|
22 |
4.4 |
4.92E-06 |
1083.4 |
30.653 |
|
23 |
4.6 |
4.18E-06 |
1080.8 |
31.009 |
|
24 |
4.8 |
1.51E-05 |
1065.2 |
31.192 |
|
25 |
5 |
2.29E-06 |
1044.6 |
30.979 |
|
26 |
5.2 |
1.26E-05 |
1037.3 |
31.281 |
|
27 |
5.4 |
1.86E-08 |
1009.2 |
31.532 |
|
28 |
5.6 |
1.19E-07 |
1004.1 |
31.56 |
|
29 |
5.8 |
3.63E-08 |
981.44 |
31.98 |
|
30 |
6 |
8.42E-05 |
1004.9 |
31.074 |
|
31 |
6.2 |
2.79E-06 |
989.38 |
31.733 |
|
32 |
6.4 |
2.49E-06 |
961.75 |
31.581 |
|
33 |
6.6 |
3.15E-06 |
951.93 |
31.867 |
|
34 |
6.8 |
1.64E-06 |
915.76 |
31.337 |
|
35 |
7 |
4.58E-06 |
916.78 |
31.393 |
|
36 |
7.2 |
5.12E-06 |
922.31 |
31.336 |
|
37 |
7.4 |
4.67E-06 |
954.6 |
31.595 |
|
38 |
7.6 |
1.23E-06 |
937.36 |
31.067 |
|
39 |
7.8 |
3.21E-07 |
963.94 |
31.302 |
|
40 |
8 |
2.57E-06 |
1010.4 |
31.196 |
|
41 |
8.2 |
1.92E-06 |
1031.9 |
31.277 |
|
42 |
8.4 |
1.25E-06 |
1066.5 |
31.055 |
|
43 |
8.6 |
3.80E-06 |
1122.9 |
32.366 |
|
44 |
8.8 |
1.06E-07 |
1142.8 |
31.833 |
|
45 |
9 |
1.25E-06 |
1161.8 |
32.031 |
|
46 |
9.2 |
2.19E-06 |
1183.5 |
31.288 |
|
47 |
9.4 |
1.38E-05 |
1184.9 |
31.375 |
|
48 |
9.6 |
1.53E-06 |
1212.6 |
30.551 |
|
49 |
9.8 |
1.61E-06 |
1220.8 |
30.129 |
|
50 |
10 |
4.72E-08 |
1248.5 |
29.344 |
|
51 |
10.2 |
1.67E-06 |
1257.6 |
28.871 |
|
52 |
10.4 |
1.07E-06 |
1281.2 |
28.376 |
|
53 |
10.6 |
1.13E-07 |
1270.7 |
28.851 |
|
54 |
10.8 |
2.83E-06 |
1273.2 |
28.345 |
|
55 |
11 |
1.21E-06 |
1270.2 |
28.892 |
|
56 |
11.2 |
1.35E-06 |
1269 |
28.661 |
|
57 |
11.4 |
1.70E-07 |
1269.9 |
29.12 |
|
58 |
11.6 |
7.29E-08 |
1270.4 |
28.701 |
|
59 |
11.8 |
6.96E-06 |
1271.3 |
28.753 |
|
60 |
12 |
2.55E-06 |
1268.5 |
28.544 |
|
61 |
12.2 |
1.06E-06 |
1259.2 |
28.031 |
|
62 |
12.4 |
1.59E-06 |
1256.7 |
27.921 |
|
63 |
12.6 |
4.42E-07 |
1235.5 |
27.759 |
|
64 |
12.8 |
1.06E-07 |
1235.8 |
27.343 |
|
65 |
13 |
1.18E-07 |
1216.2 |
27.315 |
|
66 |
13.2 |
4.57E-09 |
1267.1 |
25.018 |
|
67 |
13.4 |
9.92E-06 |
1251.2 |
25.286 |
|
68 |
13.6 |
5.28E-06 |
1231.3 |
24.664 |
|
69 |
13.8 |
5.01E-06 |
1225.2 |
24.624 |
|
70 |
14 |
8.15E-07 |
1190.4 |
23.79 |
|
71 |
14.2 |
2.62E-06 |
1177.9 |
23.345 |
|
72 |
14.4 |
5.00E-08 |
1162.6 |
22.767 |
|
73 |
14.6 |
1.39E-06 |
1153.8 |
22.495 |
|
74 |
14.8 |
6.74E-07 |
1115.6 |
21.622 |
|
75 |
15 |
5.72E-07 |
1093.1 |
21.566 |
Simulation Video - https://drive.google.com/file/d/1sIC64FpH1tmHVKvTd8Gb-E_Ykbik3NKW/view?usp=sharing
Tabulation:
|
Parameters |
Max. Total Deformation (mm) |
Max. Equivalent Elastic Strain (mm/mm) |
Max. Equivalent Stress (MPa) |
|
Worm Gear |
14.818 |
6.91E-03 |
1281.2 |
Conclusion:
From the simulation results we can that the area where there will be Max. Total Deformation, Max. Equivalent Elastic Strain and Max. Equivalent Stress occurring on the Gear during the simulation.