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Optimization of stability-constrained geometrically nonlinear shallow trusses using an arc length sparse method with a strain energy density approach
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hrinda, Glenn A. Nguyen, D. Thong |
| Copyright Year | 2008 |
| Abstract | A technique for the optimization of stability-constrained geometrically nonlinear shallow trusses with snap-through behavior is demonstrated using the arc length method and a strain energy density approach within a discrete finite-element formulation. The optimization method uses an iterative scheme that evaluates the performance of the design variables and then updates them according to a recursive formula that is controlled by the arc length method. A minimum weight design is achieved when a uniform nonlinear strain energy density is found in all members. This minimal condition places the design load just below the critical-limit load that causes snap-through of the structure. The optimization scheme is programmed into a nonlinear finite-element algorithm to find the large strain energy at critical-limit loads. Examples of highly nonlinear trusses that are found in literature are presented to verify the method. |
| Starting Page | 933 |
| Ending Page | 950 |
| Page Count | 18 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.finel.2008.07.004 |
| Volume Number | 44 |
| Alternate Webpage(s) | https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20090011260.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.finel.2008.07.004 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
