复合材料科学与工程 ›› 2021, Vol. 0 ›› Issue (9): 22-30.DOI: 10.19936/j.cnki.2096-8000.20210928.004

• 基础研究 • 上一篇    下一篇

基于响应面法的CFRP层合板挖补修理结构的单目标优化

田可可, 李成*, 胡春幸, 郭建   

  1. 郑州大学 机械与动力工程学院,郑州 450001
  • 收稿日期:2020-11-19 出版日期:2021-09-28 发布日期:2021-10-13
  • 通讯作者: 李成(1962-),男,博士,教授,主要从事复合材料结构强度方面的研究,chengli@zzu.edu.cn。
  • 作者简介:田可可(1997-),男,硕士研究生,主要从事复合材料胶接性能方面的研究。
  • 基金资助:
    国家自然科学基金民航联合基金重点项目(U1833116)

Single-objective optimization of CFRP laminated board scarf-repair structure based on response surface method

TIAN Ke-ke, LI Cheng*, HU Chun-xing, GUO Jian   

  1. School of Mechanical and Power Engineering, Zhengzhou University, Zhengzhou 450001, China
  • Received:2020-11-19 Online:2021-09-28 Published:2021-10-13

摘要: 对于CFRP层合板挖补修理结构的优化问题,首先通过三维实体单元建立三维损伤累积模型并通过试验验证所建立的仿真模型的有效性,然后采用拉丁超立方试验设计方法和响应面法构建了拉伸强度代理模型,最后基于遗传算法和代理模型进行联合优化。研究结果表明:数值模型与仿真模型吻合度较好,误差在10%以内,表明所建立的有限元模型具有有效性。拉伸载荷下挖补结构的失效模式以胶层的剪切失效为主,胶层损伤起始于层合板和补片0°层对应的位置,然后向四周扩展,胶层失效后补片失去承载能力,母板继续承载并在最窄处断裂。最佳胶层厚度、挖补角度和旋转角度分别为0.1035 mm、2.5°和0°。与常规挖补结构相比,拉伸强度提高了12.57%。采用遗传算法对CFRP层合板挖补结构进行优化,对提高挖补结构的力学性能具有重要意义。

关键词: 挖补结构, 挖补参数, 代理模型, 优化设计, 拉伸强度, 复合材料

Abstract: To obtain the optimization of scarf repair structure of CFRP laminates. Firstly, a three-dimensional damage accumulation model is established through three-dimensional solid elements, and the validity of the established simulation model is verified through experiments. Moreover, a surrogate model of tensile strength was constructed using Latin hypercube sampling (LHS) method and response surface method (RSM). Finally, the optimized design of scarf repair structure is obtained by combination of the surrogate model and genetic algorithm (GA). The research results show that, the error is less than 10% between the numerical and experimental results, indicating that the established finite element model is valid. The failure model of the scarf repair structure under tensile load is mainly the shear failure of the adhesive layer. The adhesive layer damage starts at the position corresponding to the 0° layer of the laminates and the patch, and then expands around. After the adhesive layer fails, the patch loses its load. Capacity, the mother board continues to bear the load and breaks at the narrowest point. The best adhesive layer thickness, scarf repair angle and rotation angle are 0.1035 mm, 2.5° and 0°, respectively. Compared with the conventional scarf repair structure, the tensile strength is increased by 12.57%. Genetic algorithm is used to optimize the scarf repair structure of CFRP laminates, which is of great significance to improve the mechanical properties of scarf repair structure.

Key words: scarf structure, scarf parameters, proxy model, optimized design, tensile strength, composites

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