Technologies

Explicit three dimensional topology optimization via Moving Morphable Void (MMV) approach

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2019-03-05 20:42
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Title

 

Explicit three dimensional topology optimization via Moving Morphable Void (MMV) approach


 

Authors

Weisheng Zhang, Jishun Chen, Xuefeng Zhu, Jianhua Zhou, Dingchuan Xue, Xin Lei, Xu Guo

Journal

Comput. Methods Appl. Mech. Engrg. 322 (2017) 590–614

Keywords

Topology optimization; Moving Morphable Void (MMV); Moving Morphable Component (MMC); Topology description function (TDF); Explicit boundary evolution

Abstract

Three dimensional (3D) topology optimization problems always involve huge numbers of Degrees of Freedom (DOFs) in finite element analysis (FEA) and design variables in numerical optimization, respectively. This will inevitably lead to large computational efforts in the solution process. In the present paper, an efficient and explicit topology optimization approach which can reduce not only the number of design variables but also the number of degrees of freedom in FEA is proposed based on the Moving Morphable Voids (MMVs) solution framework. This is achieved by introducing a set of geometry parameters (e.g., control points of B-spline surfaces) to describe the boundary of a structure explicitly and removing the unnecessary DOFs from the FE model at every step of numerical optimization. Numerical examples demonstrate that the proposed approach does can overcome the bottleneck problems associated with a 3D topology optimization problem in a straightforward way and enhance the solution efficiency significantly.

Link

http://www.sciencedirect.com/science/article/pii/S0045782517301135