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

By Weisheng Zhang, Jishu Chen, Xuefeng Zhu, Jianhua Zhou, Dingchuan Xue, Xinye Lei, Xu Guo. 2017

255 citations recorded by the source corpus.

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.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8223a0009c56720571767c27d96a70c1940479d8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Akihiro Takezawa
2. Zhan Kang
3. Lin Cheng
4. Jikai Liu
5. Albert C. To
6. Xuan Liang
7. Shuting Wang
8. Xianda Xie

In Computational Mechanics

1. Shuting Wang
2. Xianda Xie
3. Manman Xu
4. Krishnan Suresh
5. Lin Cheng
6. Akihiro Takezawa
7. Yingjun Wang
8. Zhan Kang

In Mechanics of Materials

1. Zhan Kang
2. Jikai Liu
3. Shuting Wang
4. Xianda Xie
5. Manman Xu
6. Lei Li
7. Krishnan Suresh
8. Lin Cheng

Citations in the corpus

• Current and future trends in topology optimization for additive manufacturing (2018, background): “[173] Zhang W, Chen J, Zhu X, Zhou J, Xue D, Lei X, et al.”
• A new isogeometric topology optimization using moving morphable components based on R-functions and collocation schemes (2018, background): “Recently, another type of explicit boundary TO based on moving morphable void (MMV) was presented for three dimensional TO problems [25], which has been applied to self-supporting structure design in additive manufacturing [16].”