Comparison of Semidefinite Solvers for Topology Optimization of Cantilever Trusses Subject to Fundamental Eigenvalue Constraint

Abstract:

Optimal design of trusses is a widely developed field of structural optimization. In topology optimization the infinite design space is usually discretized into a finite ground structure defining the set of all feasible joints and bars. In this paper we adopt semidefinite programming (SDP) formulation of the topology optimization that enables us to obtain a globally optimal least compliant truss subjected to the constraints on structural volume and on the fundamental eigenvalue of free vibrations. For a model problem of 3D cantilever truss, we present a comparison of six solvers, namely CSDP, MOSEK, PENLAB, SDPA, SDPT3 and SeDuMi, from which it follows, that SDPA delivers the best computational performance.

• Periodical: Advanced Materials Research (Volume 1144)
• Pages: 172-177
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1144.172
• Online since: March 2017
• Authors: Marek Tyburec*, Jan Zeman
• Keywords: Eigenvalues Constraints, Free Vibrations, Ground Structure, Minimum Compliance, Semidefinite Programming, Truss Topology Optimization

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