基于层合参数的复合材料壳结构纤维铺角优化

doi:10.19936/j.cnki.2096-8000.20260828.014

复合材料科学与工程 ›› 2026, Vol. 0 ›› Issue (8): 109-114.DOI: 10.19936/j.cnki.2096-8000.20260828.014

基于层合参数的复合材料壳结构纤维铺角优化

刘兴炜¹, 孙文博², 侯佳琦³, 张兰挺¹, 贾春晓⁴, 孙鹏文^1*

1.内蒙古工业大学机械工程学院,呼和浩特 010051;
2.内蒙古电力(集团)有限责任公司科技创新部,呼和浩特 010020;
3.内蒙古自治区特种设备检验研究院锡林郭勒分院,锡林浩特 026000;
4.呼和浩特市世洁燃气有限责任公司,呼和浩特 010080

收稿日期:2025-08-20 出版日期:2026-08-28 发布日期:2026-09-24
通讯作者: 孙鹏文(1966—),男,博士,教授,博士生导师,研究方向为结构设计与优化,pwsun@ imut.edu.cn。
作者简介:刘兴炜(1998—),男,硕士研究生,研究方向为复合材料结构设计与优化。
基金资助:
国家自然科学基金(52165035);内蒙古自治区自然科学基金(2025MS05026)

Ply angle optimization of composite shell structure based on lamination parameters

LIU Xingwei¹, SUN Wenbo², HOU Jiaqi³, ZHANG Lanting¹, JIA Chunxiao⁴, SUN Pengwen^1*

1. School of Mechanical Engineering, Inner Mongolia University of Technology, Hohhot 010051, China;
2. Department of Science and Technology Innovation, Inner Mongolia Power (Group) Co., Ltd.,Hohhot 010020, China;
3. The Xilingol Branch of Inner Mongolia Autonomous Region Special Equipment Inspection and Research Institute, Xilinhot 026000, China;
4. Hohhot Shijie Gas Co., Ltd., Hohhot 010080, China

Received:2025-08-20 Online:2026-08-28 Published:2026-09-24

摘要/Abstract

摘要： 针对以铺层角度为设计变量优化复合材料层合板存在的设计变量多、易于陷入局部最优解和多解性问题,引入层合参数和Lobatto多项式,提出了基于层合参数的纤维铺角优化方法。该方法分为优化层合参数和将优化后的层合参数分布转换为与之对应的纤维铺角分布两个阶段。给出了层合参数与纤维铺角的关系式和层合参数可行域,分别建立了相应的优化数学模型。数值算例表明,该方法改善了纤维铺角布局,提高了壳结构的刚度、强度和收敛性,验证了其可行性和有效性。

关键词: 复合材料壳结构, 层合参数, 纤维铺角优化, Lobatto多项式

Abstract: Optimizing composite laminates with ply angle as a design variable poses challenges such as multiple design variables, susceptibility to local optima, and multiple solutions. To address the problems, a fiber ply angle optimization method based on lamination parameters is proposed in this paper. The method consists of two stages: optimizing of lamination parameters and converting the optimized lamination parameters into the corresponding fiber angle distribution. The relationship between lamination parameters and fiber ply angle and feasible region of lamination parameters are given, and the optimization mathematical models are established respectively. Numerical examples show that the fiber ply angle is improved, the stiffness and strength of the shell structure are enhanced. The feasibility and effectiveness of the method have been verified.

Key words: composite shell structure, lamination parameters, ply angle optimization, Lobatto polynomial

中图分类号:

TB332

刘兴炜, 孙文博, 侯佳琦, 张兰挺, 贾春晓, 孙鹏文. 基于层合参数的复合材料壳结构纤维铺角优化[J]. 复合材料科学与工程, 2026, 0(8): 109-114.

LIU Xingwei, SUN Wenbo, HOU Jiaqi, ZHANG Lanting, JIA Chunxiao, SUN Pengwen. Ply angle optimization of composite shell structure based on lamination parameters[J]. COMPOSITES SCIENCE AND ENGINEERING, 2026, 0(8): 109-114.

参考文献

[1] van Campen J M J F, Kassapoglou C, Gürdal Z. Generating realistic laminate fiber angle distributions for optimal variable stiffness laminates[J]. Composites Part B: Engineering, 2012, 43(2): 354-360.
[2] Guo Xinze, Zhou Kemin. Topology optimization for variable stiffness design of fiber-reinforced composites with bi-modulus materials[J]. Optimization and Engineering, 2023, 24(4): 2745-2762.
[3] Tong Xinxing, Ge Wenjie, Zhang Yonghong. Optimal fiber orientation and topology design for compliant mechanisms with fiber-reinforced composites[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2017, 231(12): 2302-2312.
[4] Hong Zhi, Peeters D, Guo Yujie. Efficient strength optimization of variable stiffness laminates using lamination parameters with global failure index[J]. Computers & Structures, 2022, 271: 106856.
[5] Zhao Jing. Lamination parameter-based two-dimension sampling optimization method for stacking sequence design of composite laminates[J]. AIAA Journal, 2022, 60(5): 3225-3250.
[6] Demir E, Rashed A. Optimization of critical buckling load for variable stiffness composites using the lamination parameters as the field variables[J]. Composite Structures, 2025, 359: 118945.
[7] Jin Peng, Zheng Qihao, Wei Wei. Thermal aeroelastic tailoring for laminated panel with lamination parameters and JAYA algorithm[J]. International Journal of Aerospace Engineering, 2022, 2022: 5201514.
[8] Serhat G, Bediz B, Basdogan I. Unifying lamination parameters with spectral-Tchebychev method for variable-stiffness composite plate design[J]. Composite Structures, 2020, 242: 112183.
[9] Shahabad P K, Anamagh M R, Serhat G, et al. Advanced lamination parameter interpolation and extrapolation methods for designing manufacturable variable stiffness laminates[J]. Composite Structures, 2023, 326: 117608.
[10] Li Xinming, Ma Lujie, Ji Bowen, et al. Extracting fiber paths from the optimized lamination parameters of variable-stiffness laminated shells based on physic-informed neural network[J]. Computer-Aided Design, 2025, 179: 103821.
[11] 刘书田, 侯玉品. 基于铺层参数的铺层方式与纤维分布协同优化的层合板最大刚度设计[J]. 计算力学学报, 2012, 29(4): 475-480.
Liu Shutian, Hou Yupin. Simultaneous optimization of fiber distribution and layup for maximum stiffness of composite laminates using lamination parameters[J]. Chinese Journal of Computational Mechanics, 2012, 29(4): 475-480.
[12] Sun Kai, Cheng Gengdong, Serhat G. Integrating discrete-variable anisotropic topology optimization with lamination parameter interpolation-based stiffness tailoring[J]. Computer Methods in Applied Mechanics and Engineering, 2025, 443: 118077.
[13] Diaconu C G, Sato M, Sekine H. Feasible region in general design space of lamination parameters for laminated composites[J]. AIAA Journal, 2002, 40: 559-565.
[14] Fan Kuan, Huang Zhengdong, Wu Hao, et al. A general framework for constructing the feasibility-constraint functionof lamination parameters in optimization[J]. Structures, 2023, 58: 105375.
[15] Miki M. Material design of composite laminates with required in-plane elastic properties[J]. Materials System, 1983, 1: 21-30.
[16] Silva G H C, Meddaikar Y. Lamination parameters for sandwich and hybrid material composites[J]. AIAA Journal, 2020, 58(10): 4604-4611.
[17] Wu Zhangming, Raju G, Weaver P M. Framework for the buckling optimization of variable-angle tow composite plates[J]. AIAA Journal, 2015, 53(12): 3788-3804.
[18] 马志坤. 基于层合参数的复合材料层合板变刚度优化设计研究[D]. 呼和浩特: 内蒙古工业大学, 2023.
Ma Zhikun. Variable-stiffness optimization of composite laminates using lamination parameters[D]. Hohhot: Inner Mongdia University of Technology, 2023.
[19] Alhajahmad A, Abdalla M M, Gürdal Z. Design tailoring for pressure pillowing using tow-placed steered fibers[J]. Journal of Aircraft, 2008, 45(2): 630-640.

基于层合参数的复合材料壳结构纤维铺角优化

Ply angle optimization of composite shell structure based on lamination parameters

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