Isogeometric topology optimization based on energy penalization for symmetric structure

doi:10.1007/s11465-019-0568-4

Frontiers of Mechanical Engineering

2020, Vol. 15

Issue (1): 100-122 https://doi.org/10.1007/s11465-019-0568-4

本期目录

Isogeometric topology optimization based on energy penalization for symmetric structure

Xianda XIE¹, Shuting WANG¹, Ming YE², Zhaohui XIA^1,³(

), Wei ZHAO¹, Ning JIANG¹, Manman XU¹

¹. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
². Guangzhou Huagong Motor Vehicle Inspection Technology Co., Ltd., Guangzhou 510640, China; National Engineering Research Center of Near-Net-Shape Forming for Metallic Materials, South China University of Technology, Guangzhou 510641, China
³. Guangdong Provincial Key Laboratory of Technique and Equipment for Macromolecular Advanced Manufacturing, South China University of Technology, Guangzhou 510641, China

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Abstract：

We present an energy penalization method for isogeometric topology optimization using moving morphable components (ITO–MMC), propose an ITO–MMC with an additional bilateral or periodic symmetric constraint for symmetric structures, and then extend the proposed energy penalization method to an ITO–MMC with a symmetric constraint. The energy penalization method can solve the problems of numerical instability and convergence for the ITO–MMC and the ITO–MMC subjected to the structural symmetric constraint with asymmetric loads. Topology optimization problems of asymmetric, bilateral symmetric, and periodic symmetric structures are discussed to validate the effectiveness of the proposed energy penalization approach. Compared with the conventional ITO–MMC, the energy penalization method for the ITO–MMC can improve the convergence rate from 18.6% to 44.5% for the optimization of the asymmetric structure. For the ITO–MMC under a bilateral symmetric constraint, the proposed method can reduce the objective value by 5.6% and obtain a final optimized topology that has a clear boundary with decreased iterations. For the ITO–MMC under a periodic symmetric constraint, the proposed energy penalization method can dramatically reduce the number of iterations and obtain a speedup of more than 2.

Key words： topology optimization moving morphable component isogeometric analysis energy penalization method symmetric constraint

收稿日期: 2019-05-20 出版日期: 2020-02-21

Corresponding Author(s): Zhaohui XIA

引用本文:

. [J]. Frontiers of Mechanical Engineering, 2020, 15(1): 100-122.
Xianda XIE, Shuting WANG, Ming YE, Zhaohui XIA, Wei ZHAO, Ning JIANG, Manman XU. Isogeometric topology optimization based on energy penalization for symmetric structure. Front. Mech. Eng., 2020, 15(1): 100-122.

链接本文:

https://academic.hep.com.cn/fme/CN/10.1007/s11465-019-0568-4
https://academic.hep.com.cn/fme/CN/Y2020/V15/I1/100

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