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Article Navigation> JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY> 2010> 19(3): 0279-285
LONG Kai, ZUO Zheng-xing, XIAO Tao, Rehan H.Zuberi. ICM Method Combined with Meshfree Approximation for Continuum Structure[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2010, 19(3): 0279-285.
Citation: LONG Kai, ZUO Zheng-xing, XIAO Tao, Rehan H.Zuberi. ICM Method Combined with Meshfree Approximation for Continuum Structure[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2010, 19(3): 0279-285.
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ICM Method Combined with Meshfree Approximation for Continuum Structure

  • 1.

    School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China;School of Renewable Energy, North China Electric Power University, Beijing 102206, China

  • 2.

    School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China

  • 3.

    School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China;Shanghai Diesel Engine Co., Ltd, Shanghai 200438, China

  • Received Date:2009-09-14
    Abstract
  • The independent continuous mapping(ICM) method is integrated into element free Galerkin method and a new implementation of topology optimization for continuum structure is presented. To facilitate the enforcement of the essential boundary condition and derivative of various sensitivities, a singular weight function in element free Galerkin method is introduced. Material point variable is defined to illustrate the condition of material point and its vicinity instead of element or node. The topological variables field is constructed by moving least square approximation which inherits the continuity and smoothness of the weight function. Due to reciprocal relationships between the topological variables and design variables, various structural responses sensitivities are derived according to the method for calculating the partial derivatives of compound functions. Numerical examples indicate that checkerboard pattern and mesh-dependence phenomena are overcome without additional restriction methods.
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    • References (20)
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