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- W4245235490 abstract "Publisher SummaryThis chapter focuses on a class of structures that can be described readily by finite element matrix equations. The chapter presents the basic ideas of the finite element structural analysis method, which includes a discussion of variational principles upon which derivation of structural equations is based. These basic ideas are used to carry out design sensitivity analysis of static response, eigenvalues, and dynamic response of structures. Both first- and second-order design sensitivity analysis techniques are developed and examples are presented. An important problem associated with repeated eigen values that arise in design optimization is analyzed inm the chapter. The chapter describes that for this class of problems, the eigen value is not a differentiable function of the design, but is only directionally differentiable. Finally, first-order information derived from design sensitivity analysis is employed to obtain projected gradients that allow the designer to do trade-off analysis." @default.
- W4245235490 created "2022-05-12" @default.
- W4245235490 date "1986-01-01" @default.
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- W4245235490 title "1 Finite-Dimensional Structural Systems" @default.
- W4245235490 doi "https://doi.org/10.1016/s0076-5392(09)60320-9" @default.
- W4245235490 hasPublicationYear "1986" @default.
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