Acta Mechanica Solida Sinica

, Volume 21, Issue 1, pp 51–61 | Cite as

Topology synthesis of geometrically nonlinear compliant mechanisms using meshless methods

  • Yixian Du
  • Liping Chen
  • Zhen Luo


This paper presents a new method for topology optimization of geometrical nonlinear compliant mechanisms using the element-free Galerkin method (EFGM). The EFGM is employed as an alternative scheme to numerically solve the state equations by fully taking advantage of its capability in dealing with large displacement problems. In the meshless method, the imposition of essential boundary conditions is also addressed. The popularly studied solid isotropic material with the penalization (SIMP) scheme is used to represent the nonlinear dependence between material properties and regularized discrete densities. The output displacement is regarded as the objective function and the adjoint method is applied to finding the sensitivity of the design functions. As a result, the optimization of compliant mechanisms is mathematically established as a nonlinear programming problem, to which the method of moving asymptotes (MMA) belonging to the sequential convex programming can be applied. The availability of the present method is finally demonstrated with several widely investigated numerical examples.

Key words

compliant mechanisms topology optimization element-free Galerkin methods geometrical nonlinearity 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2008

Authors and Affiliations

  1. 1.School of Mechanical Science & EngineeringHuazhong University of Science & TechnologyWuhanChina
  2. 2.School of Aerospace, Mechanical and Mechatronic EngineeringThe University of SydneySydneyAustralia

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