Week 2 Bevel Gear Challenge
OBJECTIVE:- To perform a Grid Dependence test on the Bevel Gear for the mesh sizes of 4,5 and 6mm. Calculating results for Total Deformation, Equivalent Elastic Strain, and Equivalent Stress.
Theory:- 1)The Grid dependence test is used to improve the result by using successively mesh sizes for calculations.
2) And used to produce finer mesh to approach the correct grid convergences.
3) And time step also refined for the more correct and proper results which required.
MODEL:-
COMMON INPUT DATA:-
| Sr No. | DATA | VALUE |
| 1 | Mesh Sizing elements | Case 1(4mm), Case 2(5mm), and Case 3(6mm) |
| 2 | No. of steps | 6 |
| 3 | Initial Time Step | 0.1 sec |
| 4 | Maximum Time Step | 0.1 sec |
| 5 | Minimum Time Step | 0.05 sec |
| 6 | Joint Type | Body to ground Revolute Joint |
| 7 | Big Gear Moment | 100 N.mm |
| 8 | Small Gear Rotations | 20-120 Degree |
| 9 | Material | Structural Steel |
OUTPUT VALUES:-
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CASE 1 (4mm Mesh) No. Of Nodes- 15499 No.Of Elements- 8039 |
CASE 2 (5mm Mesh) No. Of Nodes- 14905 No.Of Elements- 7707 |
CASE 3 (6mm Mesh) No. Of Nodes- 13489 No.Of Elements- 7001 |
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Total Deformation:- Maximum- 47.867 mm Minimum- 21.651 mm Average- 35.635 mm
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Total Deformation:- Maximum- 47.874 mm Minimum- 21.651 mm Average- 36.008 mm
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Total Deformation:- Maximum- 47.916 mm Minimum- 21.651 mm Average- 36.33 mm
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Equivalent Elastic Strain:- Maximum- 1.8424e-006 mm/mm Minimum- 1.0961e-12 mm/mm Average- 4.8514e-008 mm/mm
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Equivalent Elastic Strain:- Maximum- 6.1644e-6 mm/mm Minimum- 7.8731e-13 mm/mm Average- 6.3303e-008 mm/mm
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Equivalent Elastic Strain:- Maximum- 0.0026267 mm/mm Minimum- 1.3294e-10 mm/mm Average- 3.3838e-005 mm/mm
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Equivalent Stress:- Maximum- 0.29462 Mpa Minimum- 1.186e-7 Mpa Average- 8.2277e-003 MPa
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Equivalent Stress:- Maximum- 1.2102 Mpa Minimum- 9.6573e-8 Mpa Average- 1.0691e-002 Mpa
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Equivalent Stress:- Maximum- 525.35 Mpa Minimum- 2.2238e- Mpa Average- 5.3132 Mpa
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Force Convergences Graph:-
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Force Convergences Graph:-
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Force Convergences Graph:-
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Displacement Convergences Graph:-
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Displacement Convergences Graph:-
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Displacement Convergences Graph:-
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Conclusion:-
As per the input values for the test (4,5, and 6mm of mesh size) the result obtained clearly shows that as mesh size increases successively the accuracy of the result gets lower. As the result show the best results for the bevel gear is with the 4mm mesh size.