Reanalysis-based optimal design of trusses. (English) Zbl 0998.74060
From the summary: We present a structural reanalysis method and its applications in optimal design of trusses. This reanalysis technique is derived primarily from a reduced basis formulation, but it has several advantages over previous reduced basis methods. In particular, the reduced system is decoupled by using a Gram-Schmidt orthonormalization procedure, and an error measure is introduced to adaptively monitor whether a good approximate solution is achieved. The latter aspect makes this reanalysis method suitable for use in optimal design problems because the changes in design variables usually vary during a design process. Discussions are presented on the implementation of this reanalysis method using both mathematical programming and optimality criteria-based optimization schemes. Finally, several example problems of optimal truss design are used to validate the proposed reanalysis-based design procedure.
MSC:
| 74P10 | Optimization of other properties in solid mechanics |
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
Keywords:
structural reanalysis method; optimal design of trusses; Gram-Schmidt orthonormalization procedure; error measure; mathematical programming; optimality criteria-based optimizationSoftware:
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