Structural Engineering and Mechanics

  • 제45권6호
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  • Pages.759-777
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  • 2013
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

A topology optimization method of multiple load cases and constraints based on element independent nodal density

  • Yi, Jijun (School of Mechanical and Electrical Engineering, Central South University) ;
  • Rong, Jianhua (School of Mechanical and Electrical Engineering, Changsha University of Science and Technology) ;
  • Zeng, Tao (School of Mechanical and Electrical Engineering, Central South University) ;
  • Huang, X. (School of Civil, Environmental and Chemical Engineering, RMIT University)
  • 투고 : 2012.06.28
  • 심사 : 2013.02.19
  • 발행 : 2013.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, a topology optimization method based on the element independent nodal density (EIND) is developed for continuum solids with multiple load cases and multiple constraints. The optimization problem is formulated ad minimizing the volume subject to displacement constraints. Nodal densities of the finite element mesh are used a the design variable. The nodal densities are interpolated into any point in the design domain by the Shepard interpolation scheme and the Heaviside function. Without using additional constraints (such ad the filtering technique), mesh-independent, checkerboard-free, distinct optimal topology can be obtained. Adopting the rational approximation for material properties (RAMP), the topology optimization procedure is implemented using a solid isotropic material with penalization (SIMP) method and a dual programming optimization algorithm. The computational efficiency is greatly improved by multithread parallel computing with OpenMP to run parallel programs for the shared-memory model of parallel computation. Finally, several examples are presented to demonstrate the effectiveness of the developed techniques.

키워드

참고문헌

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