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Sensitivity analysis and optimization for non‐linear structural response

Stefan Schwarz (Institute of Structural Mechanics, University of Stuttgart, Stuttgart, Germany)
Ekkehard Ramm (Institute of Structural Mechanics, University of Stuttgart, Stuttgart, Germany)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 May 2001

1142

Abstract

The present contribution deals with the sensitivity analysis and optimization of structures for path‐dependent structural response. Geometrically as well as materially non‐linear behavior with hardening and softening is taken into account. Prandtl‐Reuss‐plasticity is adopted so that not only the state variables but also their sensitivities are path‐dependent. Because of this the variational direct approach is preferred for the sensitivity analysis. For accuracy reasons the sensitivity analysis has to be consistent with the analysis method evaluating the structural response. The proposed sensitivity analysis as well as its application in structural optimization is demonstrated by several examples.

Keywords

Citation

Schwarz, S. and Ramm, E. (2001), "Sensitivity analysis and optimization for non‐linear structural response", Engineering Computations, Vol. 18 No. 3/4, pp. 610-641. https://doi.org/10.1108/02644400110387181

Publisher

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MCB UP Ltd

Copyright © 2001, MCB UP Limited

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