Frequency response as a surrogate eigenvalue problem in topology optimization

Erik Andreassen; Federico Ferrari; Ole Sigmund; Alejandro Rafael Diaz

doi:10.1002/nme.5563

Frequency response as a surrogate eigenvalue problem in topology optimization

Erik Andreassen, Federico Ferrari, Ole Sigmund^*, Alejandro Rafael Diaz

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

This article discusses the use of frequency response surrogates for eigenvalue optimization problems in topology optimization that may be used to avoid solving the eigenvalue problem. The motivation is to avoid complications that arise from multiple eigenvalues and the computational complexity associated with computation of eigenvalues in very large problems.

Original language	English
Journal	International Journal for Numerical Methods in Engineering
Volume	113
Issue number	8
Pages (from-to)	1214-1229
ISSN	0029-5981
DOIs	https://doi.org/10.1002/nme.5563
Publication status	Published - 2018

Keywords

Optimization
Structures
Topology design
Vibrations

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Andreassen et al 2017 International Journal for Numerical Methods in EngineeringAccepted author manuscript, 606 KB

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title = "Frequency response as a surrogate eigenvalue problem in topology optimization",

abstract = "This article discusses the use of frequency response surrogates for eigenvalue optimization problems in topology optimization that may be used to avoid solving the eigenvalue problem. The motivation is to avoid complications that arise from multiple eigenvalues and the computational complexity associated with computation of eigenvalues in very large problems. ",

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AB - This article discusses the use of frequency response surrogates for eigenvalue optimization problems in topology optimization that may be used to avoid solving the eigenvalue problem. The motivation is to avoid complications that arise from multiple eigenvalues and the computational complexity associated with computation of eigenvalues in very large problems.

KW - Optimization

KW - Structures

KW - Topology design

KW - Vibrations

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DO - 10.1002/nme.5563

M3 - Journal article

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JF - International Journal for Numerical Methods in Engineering

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Frequency response as a surrogate eigenvalue problem in topology optimization

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