Explicit three dimensional topology optimization via Moving Morphable Void (MMV) approach
Author
admin
Date
2019-03-05 20:42
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2969
Title
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
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
