An efficient isogeometric topology optimization using multilevel mesh, MGCG and local-update strategy. (January 2020)

• Record Type: Journal Article
• Authors: Wang, Yingjun; Liao, Zhongyuan; Ye, Ming; Zhang, Yu; Li, Weihua; Xia, Zhaohui
• Is Part Of: Advances in engineering software. Volume 139(2020)
• Publication Date: 2020-01
• Subjects: Isogeometric topology optimization -- High-efficiency -- Multilevel mesh -- Multigrid conjugate gradient method -- Local-update; Computer-aided engineering -- Periodicals; Engineering -- Computer programs -- Periodicals; Engineering -- Software -- Periodicals; Periodicals; 620.0028553
• DOI: 10.1016/j.advengsoft.2019.102733
• Languages: English
• ISSNs: 0965-9978

Abstract

Highlights: A high-efficiency isogeometric topology optimization (HITO) is proposed to improve the computational efficiency significantly. The ITO is accelerated by multi-level meshes, MGCG solver and local-update strategy. The sensitivity analysis based on IGA and the NURBS filter technique are given in detail. The proposed HITO can be easily extended to other control-points based ITO problems. Abstract: This paper proposes a new high-efficiency isogeometric topology optimization (HITO), including three part: multilevel mesh, multigrid conjugate gradient method (MGCG) and local-update strategy, which improves the efficiency in three aspects: mesh scale reduction, solving acceleration and design variables reduction. Four benchmark examples are used to evaluate proposed method, and the results show that the proposed HITO successfully reduces 37%–93% computational time compared to the conventional isogeometric topology optimization (CITO) and obtains consistent optimization results, which demonstrates the high-efficiency of the HITO. Furthermore, the efficiency improvement of the HITO will be more significant for the large-scale problems.