Open Access

ARTICLE

An XBi-CFAO Method for the Optimization of Multi-Layered Variable Stiffness Composites Using Isogeometric Analysis

Chao Mei^1,2, Qifu Wang^1,*, Chen Yu¹, Zhaohui Xia¹
1 School of Mechanical Science and Engineering, Huazhong University of Science & Technology, Wuhan, 430074, China
2 School of Mechanical Engineering, Yangtze University, Jingzhou, 434023, China
* Corresponding Author: Qifu Wang. Email:
(This article belongs to this Special Issue: Novel Methods of Topology Optimization and Engineering Applications)

Computer Modeling in Engineering & Sciences 2021, 129(2), 627-659. https://doi.org/10.32604/cmes.2021.017704

Received 31 May 2021; Accepted 27 July 2021; Issue published 08 October 2021

Abstract

This paper presents an effective fiber angle optimization method for two and multi-layered variable stiffness composites. A gradient-based fiber angle optimization method is developed based on isogeometric analysis (IGA). Firstly, the element densities and fiber angles for two and multi-layered composites are synchronously optimized using an extended Bi-layered continuous fiber angle optimization method (XBi-CFAO). The densities and fiber angles in the base layer are attached to the control points. The structure response and sensitivity analysis are accomplished using the non-uniform rational B-spline (NURBS) based IGA. By the benefit of the B-spline space, this method is free from checkerboards, and no additional filtering is needed to smooth the sensitivity numbers. Then the curved fiber paths are generated using the streamline method and the discontinuous fiber paths are smoothed using a partitioned selection process. The proposed method in the paper can alleviate the phenomenon of fiber discontinuity, enhance information retention for the optimized fiber angles of the singular points and save calculating resources effectively.

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Keywords

Isogeometric analysis; fiber angle optimization; variable stiffness laminates; fiber path optimization; topology optimization

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