Free Material Optimization with Fundamental Eigenfrequency Constraints

Stingl M, Kocvara M, Leugering G (2009)

Publication Type: Journal article, Original article

Publication year: 2009

Journal

SIAM Journal on Optimization Society for Industrial and Applied Mathematics

Publisher: Society for Industrial and Applied Mathematics

Book Volume: 20

Pages Range: 524--547

Volume: 20

Issue: 1

Journal Issue: 1

DOI: 10.1137/080717122

Abstract

The goal of this paper is to formulate and solve free material optimization problems with constraints on the smallest eigenfrequency of the optimal structure. A natural formulation of this problem as a linear semidefinite program turns out to be numerically intractable. As an alternative, we propose a new approach, which is based on a nonlinear semidefinite low-rank approximation of the semidefinite dual. We introduce an algorithm based on this approach and analyze its convergence properties. The article is concluded by numerical experiments proving the effectiveness of the new approach

Authors with CRIS profile

Michael Stingl Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung) Günter Leugering Lehrstuhl für Angewandte Mathematik

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials (EAM)

How to cite

APA:

Stingl, M., Kocvara, M., & Leugering, G. (2009). Free Material Optimization with Fundamental Eigenfrequency Constraints. SIAM Journal on Optimization, 20(1), 524--547. https://doi.org/10.1137/080717122

MLA:

Stingl, Michael, Michal Kocvara, and Günter Leugering. "Free Material Optimization with Fundamental Eigenfrequency Constraints." SIAM Journal on Optimization 20.1 (2009): 524--547.

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