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Journal article

Layout Optimization of Structures with Finite-size Features using Multiresolution Analysis

By Chellappa, S.1; Diaz, A. R.1; Bendsøe, Martin P.2

From

Michigan State University1

Department of Mathematics, Technical University of Denmark2

A scheme for layout optimization in structures with multiple finite-sized heterogeneities is presented. Multiresolution analysis is used to compute reduced operators (stiffness matrices) representing the elastic behavior of material distributions with heterogeneities of sizes that are comparable to the size of the structure.

Two approaches for computing the reduced operators are presented: one based on a multiresolution analysis of displacements and the other based on a multiresolution analysis of a function representing the material distribution. Numerical examples using the mean compliance as the objective function are presented to illustrate the method.

Language: English
Publisher: Springer Berlin Heidelberg
Year: 2004
Pages: 77-91
ISSN: 16151488 and 1615147x
Types: Journal article
DOI: 10.1007/s00158-003-0306-7
ORCIDs: Bendsøe, Martin P.
Keywords

Computational Mathematics and Numerical Analysis Engineering Engineering Design Theoretical and Applied Mechanics structural optimization topology optimization wavelets

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