Free Material Optimization with Fundamental Eigenfrequency Constraints

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autorinnen und Autoren: Stingl M, Kocvara M, Leugering G
Zeitschrift: SIAM Journal on Optimization
Verlag: Society for Industrial and Applied Mathematics
Jahr der Veröffentlichung: 2009
Band: 20
Heftnummer: 1
Seitenbereich: 524--547
ISSN: 1052-6234


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



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Leugering, Günter Prof. Dr.
Lehrstuhl für Angewandte Mathematik
Stingl, Michael Prof. Dr.
Professur für Angewandte Mathematik (Kontinuierliche Optimierung)


Zusätzliche Organisationseinheit(en)
Exzellenz-Cluster Engineering of Advanced Materials


Forschungsbereiche

A3 Multiscale Modeling and Simulation
Exzellenz-Cluster Engineering of Advanced Materials


Zitierweisen

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.

BibTeX: 

Zuletzt aktualisiert 2018-10-08 um 01:25