Static and vibrational shape and topology optimization using homogenization and mathematical programming
type: Item
instance of: scholarly article
title: Static and vibrational shape and topology optimization using homogenization and mathematical programming
zbMATH Open document ID: 0848.73047
DOI: 10.1016/0045-7825(93)90229-Q
author: Lazarus H. Tenek
author: Ichiro Hagiwara
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-11-04T00:00:00Z
review text: The homogenization method together with mathematical optimization concepts are combined to perform two-dimensional shape and topology optimization of structures under volume constraint. Static, as well as single or multi-eigenvalue vibrational optimization of structures is considered. The basic assumption is that the structure under consideration is formed by the spatial repetition of a non-homogeneous microstructure, composed of solid material and void regions. The method, upon convergence, allocates material or voids at different parts of the structure, and thus an optimum shape is achieved. A detailed study is made to assess the effect of various microstructural models on the final optimum shape.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 90C90
zbMATH DE Number: 874039
zbMATH Keywords: spatial repetition of non-homogeneous microstructure
zbMATH Keywords: volume constraint
zbMATH Keywords: multi-eigenvalue vibrational optimization
zbMATH Keywords: convergence
MaRDI profile type: Publication
cites work: Q4171679
cites work: On Structural Optimization
cites work: Generating optimal topologies in structural design using a homogenization method
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cites work: Q4721081
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full work available at URL: 0045-7825(93)90229-q
OpenAlex ID: W2038686318
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description: scientific article; zbMATH DE number 874039