Generalized Dynamic Reduction in Finite Element Dynamic Optimization

  • Ki-Ook Kim, William J. Andersonf
  • Published 2003


A redesign for frequency changes of undamped structural systems is carried out through generalized dynamic reduction. The redesign involves a nonlinear perturbation from a baseline design. Generalized coordinates are introduced to transform the original problem into a subspace of small size. A nonlinear mathematical programming scheme is applied in the reduced subspace. of the eigenvectors. If a truncated set of q modes [G*] is used, the relation may be only approximate, where (uq } is the vector of dynamic degrees of freedom. As in static condensation, the physical degrees of freedom can be divided into two groups,

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Cite this paper

@inproceedings{Kim2003GeneralizedDR, title={Generalized Dynamic Reduction in Finite Element Dynamic Optimization}, author={Ki-Ook Kim and William J. Andersonf}, year={2003} }