Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed elements

doi:10.1007/s11465-016-0403-0

Frontiers of Mechanical Engineering

2016, Vol. 11

Issue (4): 328-343 https://doi.org/10.1007/s11465-016-0403-0

本期目录

Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed elements

Yingjun WANG¹(

),David J. BENSON²

¹. School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou 510641, China; Department of Mechanical Engineering, McGill University, Montreal H3A0C3, Canada
². Department of Structural Engineering, University of California, San Diego 92093, USA

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Abstract：

In this paper, an approach based on the fast point-in-polygon (PIP) algorithm and trimmed elements is proposed for isogeometric topology optimization (TO) with arbitrary geometric constraints. The isogeometric parameterized level-set-based TO method, which directly uses the non-uniform rational basis splines (NURBS) for both level set function (LSF) parameterization and objective function calculation, provides higher accuracy and efficiency than previous methods. The integration of trimmed elements is completed by the efficient quadrature rule that can design the quadrature points and weights for arbitrary geometric shape. Numerical examples demonstrate the efficiency and flexibility of the method.

Key words： isogeometric analysis topology optimization level set method arbitrary geometric constraint trimmed element

收稿日期: 2016-06-17 出版日期: 2016-11-29

Corresponding Author(s): Yingjun WANG

引用本文:

. [J]. Frontiers of Mechanical Engineering, 2016, 11(4): 328-343.
Yingjun WANG,David J. BENSON. Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed elements. Front. Mech. Eng., 2016, 11(4): 328-343.

链接本文:

https://academic.hep.com.cn/fme/CN/10.1007/s11465-016-0403-0
https://academic.hep.com.cn/fme/CN/Y2016/V11/I4/328

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