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Mechanical Sciences An open-access journal for theoretical and applied mechanics
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Volume 2, issue 2
Mech. Sci., 2, 175-182, 2011
© Author(s) 2011. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Future directions in compliant mechanisms

Mech. Sci., 2, 175-182, 2011
© Author(s) 2011. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 22 Aug 2011

Research article | 22 Aug 2011

Robust design of large-displacement compliant mechanisms

B. S. Lazarov1, M. Schevenels2, and O. Sigmund1 B. S. Lazarov et al.
  • 1Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Nils Koppels Alle, B. 404, 2800 Lyngby, Denmark
  • 2Department of Civil Engineering, K.U.Leuven, Kasteelpark Arenberg 40, 3001 Leuven, Belgium

Abstract. The aim of this article is to introduce a new topology optimisation formulation for optimal robust design of Micro Electro Mechanical Systems. Mesh independence in topology optimisation is most often ensured by using filtering techniques, which result in transition grey regions difficult to interpret in practical realisations. This problem has been alleviated recently by projection techniques, but these destroy the mesh independence introduced by the filters and result in single node connected hinges. Such features in the design are undesirable as they are not robust with respect to geometric manufacturing errors (such as under/over etching). They can be avoided by optimising for several design realisations which take into account the possible geometry errors. The design variations are modelled with the help of random variables. The proposed stochastic formulation for the design variations results in nearly black and white mechanism designs, robust with respect to uncertainties in the production process, i.e. without any hinges or small details which can create manufacturing difficulties.

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