Lower bounding problems for stress constrained discrete structural topology optimization problems

Mathias Stolpe, Roman Stainko, Michal Kocvara

    Research output: Book/ReportReportResearch

    Abstract

    The multiple load structural topology design problem is modeled as a minimization of the weight of the structure subject to equilibrium constraints and restrictions on the local stresses and nodal displacements. The problem involves a large number of discrete design variables and is modeled as a non-convex mixed 0–1 program. For this problem, several convex and mildly non-convex continuous relaxations are presented. Reformulations of these relaxations, obtained by using duality results from semi-definite and second order cone programming, are also presented. The reformulated problems are suitable for implementation in a nonlinear branch and bound framework for solving the considered class of problems to global optimality.
    Original languageEnglish
    Publication statusPublished - 2007
    SeriesPLATO-N Public Reports
    NumberPLATO-N PU-R-8-2007

    Keywords

    • Topology optimization
    • Stress constraints
    • Relaxations
    • Global optimization

    Cite this

    Stolpe, M., Stainko, R., & Kocvara, M. (2007). Lower bounding problems for stress constrained discrete structural topology optimization problems. PLATO-N Public Reports, No. PLATO-N PU-R-8-2007 http://www.plato-n.org