Stingl M, Kocvara M, Leugering G (2009)
Publication Type: Journal article, Original article
Publication year: 2009
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
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
APA:
Stingl, M., Kocvara, M., & Leugering, G. (2009). Free Material Optimization with Fundamental Eigenfrequency Constraints. SIAM Journal on Optimization, 20(1), 524--547. https://dx.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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