Research Paper

Structural and Multidisciplinary Optimization

, Volume 43, Issue 6, pp 767-784

First online:

On projection methods, convergence and robust formulations in topology optimization

  • Fengwen WangAffiliated withDepartment of Mechanical Engineering, Solid Mechanics, Technical University of Denmark
  • , Boyan Stefanov LazarovAffiliated withDepartment of Mechanical Engineering, Solid Mechanics, Technical University of Denmark Email author 
  • , Ole SigmundAffiliated withDepartment of Mechanical Engineering, Solid Mechanics, Technical University of Denmark

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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 optimization Robust design Compliant mechanisms Manufacturing constraints