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Iterative methods for design sensitivity analysis

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Probabilistic and Robust Engineering Design Advanced Numerical Methods in Computational Mathematics Engineering Applied Research

Abstract

A numerical method is presented for design sensitivity analysis, using an iterative-method reanalysis of the structure generated by a small perturbation in the design variable; a forward-difference scheme is then employed to obtain the approximate sensitivity. Algorithms are developed for displacement and stress sensitivity, as well as for eignevalues and eigenvector sensitivity, and the iterative schemes are modified so that the coefficient matrices are constant and therefore decomposed only once.

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2017Stochastic model reduction for robust dynamical characterization of structures with random parameters

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