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Structural and Multidisciplinary Optimization

, Volume 35, Issue 2, pp 165–174 | Cite as

Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains

  • T. Lewiński
  • G. I. N. Rozvany
Research Paper

Abstract

In this paper exact, analytical solutions are derived for another highly popular benchmark problem, namely, L-shaped domains having a horizontal line support and one or several point loads. The optimal topologies are obtained in the context of Michell structures, i.e., least-weight, stress, or compliance-controlled trusses with a single load condition.

Keywords

Topology benchmarks Michell trusses Least-weight trusses Stress constraints Compliance constraints L-shaped domains 

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Faculty of Civil Engineering, Institute of Structural MechanicsWarsaw University of TechnologyWarsawPoland
  2. 2.Department of Structural MechanicsBudapest University of Technology and EconomicsBudapestHungary

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