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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.convergence criteria which was inserted earlier was used to view the effect of mesh refinement with a radius of 1.3278 inces.
Element Size (In) | Number of Elements | Equivalent Von Mises Stress (PSI) | 1 Percent Change | ||||
|---|---|---|---|---|---|---|---|
239 | 32,480 257 | ||||||
813 | 0.5 | 536 | 32,718 484 | 0.25 | 1,840 | 32,695 | 70262 |
As one can see from the data above, over the course of the mesh refinement, the equivalent Von Mises Stress only changes by approximately less than one seventh of a percent. Thus, the solution has been verified with respect to mesh refinement.
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Optimization Method | Radius (In) | Volume (In^3) | Equivalent Von Mises Stress (PSI) |
|---|---|---|---|
Screening | 1.4725 3278 | 9.8297 8615 | 32,498 484 |
MOGA | 1.4734 3267 | 9.8295 8618 | 32,499 500 |
NLPQL | 1.4738 3291 | 9.8294 8613 | 32,500 503 |
As one can see from the table above, there is no significant differences between the results from the four methods.
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