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Verification & Validation
As with any numerical method verification and validation of great significance. As mentioned earlier, there is no analytical solution for the finite plate with a hole. Thus, the results can not be compared to theory. Thus, in this section other verification and validations will be used. First, the solution will be examined as the mesh is refined to see if it has converged. Additionally, the optimization results will be verified by using different optimization methods and comparing results.
Mesh Refinement
The mesh refinement was carried our for the Candidate A case from the second optimization. That is the radius of the hole was set to 1.4725 inches.
Element Size (In) |
Number of Elements |
Equivalent Von Mises Stress (PSI) |
|---|---|---|
1 |
239 |
32,480 |
0.5 |
536 |
32,718 |
0.25 |
1,840 |
32,695 |
As one can see from the data above, over the course of the mesh refinement, the equivalent Von Mises Stress only changes by approximately one seventh of a percent. Thus, the solution has been verified with respect to mesh refinement.
Optimization Methods
The optimization was carried using each of the four optimization methods offered in ANSYS workbench. Note that the default optimization method in ANSYS is Screening.
Optimization Method |
Radius (In) |
Volume (In^3) |
Equivalent Von Mises Stress (PSI) |
|---|---|---|---|
Screening |
1.4725 |
9.8297 |
32,498 |
MOGA |
1.4734 |
9.8295 |
32,499 |
NLPQL |
1.4738 |
9.8294 |
32,500 |
As one can see from the table above, there is no significant differences between the results from the four methods.
Return to: Problem Specification