Structural and Multidisciplinary Optimization

, Volume 43, Issue 6, pp 767–784

On projection methods, convergence and robust formulations in topology optimization

Authors

  • Fengwen Wang
    • Department of Mechanical Engineering, Solid MechanicsTechnical University of Denmark
    • Department of Mechanical Engineering, Solid MechanicsTechnical University of Denmark
  • Ole Sigmund
    • Department of Mechanical Engineering, Solid MechanicsTechnical University of Denmark
Research Paper

DOI: 10.1007/s00158-010-0602-y

Cite this article as:
Wang, F., Lazarov, B.S. & Sigmund, O. Struct Multidisc Optim (2011) 43: 767. doi:10.1007/s00158-010-0602-y

Abstract

Mesh convergence and manufacturability of topology optimized designs have previously mainly been assured using density or sensitivity based filtering techniques. The drawback of these techniques has been gray transition regions between solid and void parts, but this problem has recently been alleviated using various projection methods. In this paper we show that simple projection methods do not ensure local mesh-convergence and propose a modified robust topology optimization formulation based on erosion, intermediate and dilation projections that ensures both global and local mesh-convergence.

Keywords

Topology optimizationRobust designCompliant mechanismsManufacturing constraints

Copyright information

© Springer-Verlag 2010