Acta Mechanica Solida Sinica

, Volume 19, Issue 1, pp 58–68 | Cite as

Continuum topology optimization for monolithic compliant mechanisms of micro-actuators

  • Zhen Luo
  • Yixian Du
  • Liping Chen
  • Jingzhou Yang
  • Karim Abdel-Malek


A multi-objective scheme for structural topology optimization of distributed compliant mechanisms of micro-actuators in MEMS condition is presented in this work, in which mechanical flexibility and structural stiffness are both considered as objective functions. The compliant micro-mechanism developed in this way can not only provide sufficient output work but also have sufficient rigidity to resist reaction forces and maintain its shape when holding the work-piece. A density filtering approach is also proposed to eliminate numerical instabilities such as checkerboards, mesh-dependency and one-node connected hinges occurring in resulting mechanisms. SIMP is used as the interpolation scheme to indicate the dependence of material modulus on element-regularized densities. The sequential convex programming method, such as the method of moving asymptotes (MMA), is used to solve the optimization problem. The validation of the presented methodologies is demonstrated by a typical numerical example.

Key words

structural optimization topology optimization compliant mechanisms microactuators filtering approach convex programming 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2006

Authors and Affiliations

  • Zhen Luo
    • 1
  • Yixian Du
    • 1
  • Liping Chen
    • 1
  • Jingzhou Yang
    • 2
  • Karim Abdel-Malek
    • 2
  1. 1.School of Mechanical Science & EngineeringHuazhong University of Science and TechnologyWuhanChina
  2. 2.Center for Computer-Aided Design, Mechanical Engineering Research FacilityThe University of IowaIowa CityUSA

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