Free Material Optimization with Fundamental Eigenfrequency Constraints

M Stingl, Michal Kocvara, G Leugering

Research output: Contribution to journalArticle

15 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)524-547
Number of pages24
JournalSIAM Journal on Optimization
Issue number1
Publication statusPublished - 1 Jan 2009


  • nonlinear programming
  • structural optimization
  • semidefinite programming
  • material optimization


Dive into the research topics of 'Free Material Optimization with Fundamental Eigenfrequency Constraints'. Together they form a unique fingerprint.

Cite this