Week 2 Bevel Gear Challenge
Objective:
1) To Perform a grid dependency test for the Bevel gear simulation for mesh sizes of 6,5 and 4 mm.
2) To find Von-Mises stress, Equivalent elastic strain, and Total Deformation using the previously mentioned mesh sizes.
Brief About Test:
Grid dependency test or Mesh refinement test is to find how the solution depends on the mesh size by running the simulation with refined mesh that is finer the mesh, higher is the accuracy of the result.
But with additional cost on computation time and computational power or powerful hardware to run the simulation is required. Since solutions are interpolated at the nodes to get an approximate result, the higher the number of nodes and elements higher is the more computational time and power required. So, the grid dependency test helps in establishing optimal mesh size where accurate results could be obtained. Refining mesh further would result in negligible percent change is the result but only increase the computational cost & computational time.
1) Mesh Size 6mm:
1. A) Von-Mises stress:
1. B) Total Deformation:
1. C) Equivalent elastic strain:
2) Mesh Size 5mm:
2. A) Von-Mises stress:
2. B) Total Deformation:
2. C) Equivalent elastic strain:
3) Mesh Size 4mm:
3. A) Von-Mises stress:
3. B) Total Deformation:
3. C) Equivalent elastic strain:
CONCLUSION 1: Performed a grid dependency test for the Bevel gear simulation for mesh sizes of 6,5 and 4 mm & results are as follows:
| CASE | Mesh Size (in mm) | EQUIVALENT STRESS- VON MISES (Mpa) | PERCENTAGE CHANGE | TOTAL DEFORMATION (mm) | PERCENTAGE CHANGE |
| 1 | 6 | 9.107 | 47.86 | ||
| 2 | 5 | 4.877 | 0.46 | 47.87 | 0.00 |
| 3 | 4 | 4.439 | 0.09 | 47.87 | 0.00 |
As the Percent change in Equivqlent Von mises stresses with change in mesh size is within 5 percent (negligible) & also for Total deformation, change is almost 0 percent.
Hence we can say the solution is mesh-independent & the Grid dependency test has been performed.
CONCLUSION 2: Von-Mises stress, Equivalent elastic strain, and Total Deformation using the previously mentioned mesh sizes are as follows:
| CASE | Mesh Size (in mm) | EQUIVALENT STRESS- VON MISES (Mpa) | EQUIVALENT ELASTIC STRAIN (mm/mm) | TOTAL DEFORMATION (mm) |
| 1 | 6 | 9.107 | 7 | 47.86 |
| 2 | 5 | 4.877 | 3.277 | 47.87 |
| 3 | 4 | 4.439 | 3.03 | 47.87 |