Week 2 Bevel Gear Challenge

Grid dependency test for the Bevel gear simulation

Aim : To perform grid dependency test for the Bevel gear simulation

Software: Ansys 2021 R1

Summary

Objectives

Definition and Theory

Analysis Setting

Results

Conclusion

Objectives:

1)Write a few words on what a grid dependency test is and its use.

2)Perform a grid dependency test for the Bevel gear simulation for mesh sizes of 6,5 and mm

3) Solve for Von-Mises stress, Equivalent elastic strain and Total Deformation using the previously mentioned mesh sizes.

4) Present your findings in an organized manner

Definition & Theory:

To perform numerical analysis, the CFD model space or the element subjected to FEA is presented as a set of finite number of grids. In this process finding the optimal grid condition remains an objective for accurate results. Hence the grid dependency test is the process used to find this optimal grid condition, It is about beginning the analysis with coarse mesh and refining it at each run until the results remain the same.

Analysis Setting:

Setting for the big gear subjected to moment:

Setting for the small gear subjected to a rotation:

Results:

Here is one of the simulation case:

Case 1: mesh size 6 mm

Von-Mises stress:

Equivalent elastic strain:

Total deformation:

Case 2: mesh size 5 mm:

Von-Mises stress:

Equivalent elastic strain:

Total deformation:

Case 3: mesh size 4 mm

Von-Mises stress:

Equivalent elastic strain:

Total deformation:

Summary table:

Mesh size (mm)	Minimum Deformation (in mm)	Maximum deformation (mm)	Minimum Equivalent Stress (MPa)	Maximum Equivalent Stress (in MPa)	Minimum Equivalent elastic strain (mm)	Maximum Equivalent elastic strain (mm)
6	21.651	47.875	1.2314e-6	2.3077	9.4028e-12	1.5438e-5
5	21.651	47.875	8.5021e-7	2.5379	8.0093e-12	1.5388e-5
4	21.651	47.875	9.8435e-7	2.6335	9.4727e-12	1.6908e-5

Conclusion:

By comparing the results from the summary table, it is clear that when the mesh size decreases, the value got from the analysis keeps increasing and get more accurate. So we are getting the optimal grid condition. Hence we have performed grid dependency test.