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Acta Mechanica Solida Sinica

, Volume 22, Issue 2, pp 180–188 | Cite as

Study on parameters for topological variables field interpolated by moving least square approximation

  • Kai Long
  • Zhengxing Zuo
  • Rehan H. Zuberi
Article

Abstract

This paper presents a new approach to the structural topology optimization of continuum structures. Material-point independent variables are presented to illustrate the existence condition, or inexistence of the material points and their vicinity instead of elements or nodes in popular topology optimization methods. Topological variables field is constructed by moving least square approximation which is used as a shape function in the meshless method. Combined with finite element analyses, not only checkerboard patterns and mesh-dependence phenomena are overcome by this continuous and smooth topological variables field, but also the locations and numbers of topological variables can be arbitrary. Parameters including the number of quadrature points, scaling parameter, weight function and so on upon optimum topological configurations are discussed. Two classic topology optimization problems are solved successfully by the proposed method. The method is found robust and no numerical instabilities are found with proper parameters.

Key words

topological optimization continuum structure meshless method moving least square approximation checkerboard pattern mesh-dependence 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2009

Authors and Affiliations

  1. 1.School of Mechanical and Vehicular EngineeringBeijing Institute of TechnologyBeijingChina

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