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Structural and Multidisciplinary Optimization

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01-06-2011 | Research Paper

Fast structural optimization with frequency constraints by genetic algorithm using adaptive eigenvalue reanalysis methods

Authors: Wenjie Zuo, Tao Xu, Hao Zhang, Tianshuang Xu

Published in: Structural and Multidisciplinary Optimization | Issue 6/2011

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Abstract

Structural optimization with frequency constraints is highly nonlinear dynamic optimization problems. Genetic algorithm (GA) has greater advantage in global optimization for nonlinear problem than optimality criteria and mathematical programming methods, but it needs more computational time and numerous eigenvalue reanalysis. To speed up the design process, an adaptive eigenvalue reanalysis method for GA-based structural optimization is presented. This reanalysis technique is derived primarily on the Kirsch’s combined approximations method, which is also highly accurate for case of repeated eigenvalues problem. The required number of basis vectors at every generation is adaptively determined and the rules for selecting initial number of basis vectors are given. Numerical examples of truss design are presented to validate the reanalysis-based frequency optimization. The results demonstrate that the adaptive eigenvalue reanalysis affects very slightly the accuracy of the optimal solutions and significantly reduces the computational time involved in the design process of large-scale structures.

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Title: Fast structural optimization with frequency constraints by genetic algorithm using adaptive eigenvalue reanalysis methods
Authors: Wenjie Zuo
Tao Xu
Hao Zhang
Tianshuang Xu
Publication date: 01-06-2011
Publisher: Springer-Verlag
Published in: Structural and Multidisciplinary Optimization / Issue 6/2011
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-010-0610-y

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