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Optimal Shape/Topological Design of Plate/Shell Like Structures Subjected to Periodic Excitations

Published online by Cambridge University Press:  05 May 2011

Hsien-Chie Cheng  and
Kuo-Ning Chiang
Hsien-Chie Cheng*
Affiliation:
Computational Solid Mechanics Laboratory, Research and Promotion Division, National Center for High-Performance Computing, Hsinchu, Taiwan 300, R.O.C.
Kuo-Ning Chiang*
Affiliation:
Computational Solid Mechanics Laboratory, Research and Promotion Division, National Center for High-Performance Computing, Hsinchu, Taiwan 300, R.O.C.
*
*Associate Research Scientist
**Research Scientist
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Abstract

This paper deals with the optimal shape/topological design of plate/shell like structures subjected to a harmonic, periodic excitation using an improved Homogenization Based Optimization Algorithm (HBOA), proposed by Cheng et al., [7]. The major goal of this work is to improve or control the frequency response of structures via the optimal distribution of a given amount of material in a fixed design space. Based upon the improved HBOA, two types of frequency response optimization problems are extensively explored: (1) structures subjected to a periodic excitation with a single excitation frequency, (2) structures subjected to a periodic excitation with excitation frequencies in a frequency domain. To this end, the basic mathematical formulation and a solution method are proposed as well as two numerical examples of obtaining the optimum layout of three-dimensional plate/shell structures. An interesting result is reported from the current optimization problems in comparison with static optimization problems.

Keywords

Shape/topology optimizationFrequency response problemsOptimal design of plate/shell like structuresHomogenization method
Type
Articles
Information
Journal of Mechanics , Volume 14 , Issue 1 , March 1998 , pp. 41 - 48
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1998

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References

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