Structural optimization

, Volume 13, Issue 4, pp 258–266 | Cite as

ε-relaxed approach in structural topology optimization

  • G. D. Cheng
  • X. Guo
Research Papers


This paper presents a so-called ε-relaxed approach for structural topology optimization problems of discrete structures. The distinctive feature of this new approach is that unlike the typical treatment of topology optimization problems based on the ground structure approach, we eliminate the singular optima from the problem formulation and thus unify the sizing and topology optimization within the same framework. As a result, numerical methods developed for sizing optimization problems can be applied directly to the solution of topology optimization problems without any further treatment. The application of the proposed approach and its effectiveness are illustrated with several numerical examples.


Civil Engineer Distinctive Feature Problem Formulation Topology Optimization Ground Structure 
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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • G. D. Cheng
    • 1
  • X. Guo
    • 1
  1. 1.Dalian University of TechnologyDalianPR China

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