复合材料科学与工程 ›› 2022, Vol. 0 ›› Issue (12): 5-16.DOI: 10.19936/j.cnki.2096-8000.20211228.031

• 基础研究 •    下一篇

基于板壳理论的纤维缠绕壳体结构设计分析

祖磊1, 牟星1, 张骞1*, 范文俊1, 吴世俊1, 吴乔国2, 张桂明1, 耿洪波3   

  1. 1.合肥工业大学 机械工程学院,合肥230009;
    2.合肥工业大学 土木与水利工程学院,合肥230009;
    3.内蒙古航天红岗机械有限公司,呼和浩特010000
  • 收稿日期:2021-10-13 发布日期:2023-02-03
  • 通讯作者: 张骞(1990-),男,博士,讲师,研究方向为复合材料力学与结构设计,zq_hfut@hfut.edu.cn。
  • 作者简介:祖磊(1983-),男,博士,教授,研究方向为复合材料力学与结构设计。
  • 基金资助:
    国家自然科学基金(51875159);中央高校基础研究基金(PA2020GDJQ0029);2020年和2021年有机无机复合材料国家重点实验室开放项目(Oic-202001008,Oic-202101008);中央高校基本科研业务费专项资金资助(JZ2020HGQA0197)

Structural analysis of fiber winding composite case base on plate and shell theory

ZU Lei1, MOU Xing1, ZHANG Qian1*, FAN Wen-jun1, WU Shi-jun1, WU Qiao-guo2, ZHANG Gui-ming1, GENG Hong-bo3   

  1. 1. School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, China;
    2. College of Civil Engineering, Hefei University of Technology, Hefei 230009, China;
    3. Inner Mongolia Aerospace Honggang Machinery Co., Ltd., Hohhot 010000, China
  • Received:2021-10-13 Published:2023-02-03

摘要: 基于柱壳和拉普拉斯薄膜理论的筒身和封头应力场计算会导致赤道圆处径向位移不协调,出现理论上的结构分离现象,与结构整体承载过程中实际变形不符。针对纤维缠绕复合材料壳体封头变角度、变厚度、变曲率现象导致应力分析困难问题,以该变形不协调为切入点,开展纤维缠绕复合材料封头复杂应力场有矩理论分析,综合考虑赤道圆处存在的几何突变和材料刚度突变结构因素,并等效处理金属接头端面内压载荷为该接触部分复材的等效内压载荷,得到等效后的径向薄膜位移作为控制方程极孔边界条件,构建了基于板壳理论和宏观层合板理论的纤维缠绕复合材料壳体一体化有矩模型,基于该模型探究了极孔附近胀口现象形成机理。进行了ø150干法缠绕标准试验壳体打压实验,该理论方法计算结果与实验测试结果对比表明,该方法具有较高的计算精度,结合该理论计算结果,从结构、材料刚度突变方面探究了纤维缠绕壳体封头力学响应复杂的内部机理,以及不同缠绕方案下壳体应力的变化规律。该研究成果可以为纤维缠绕复合材料壳体结构设计提供理论支撑,对设计之初快速了解壳体整体应变状态具有重要意义。

关键词: 复合材料壳体, 纤维缠绕, 层合板, 板壳理论, 封头应力分析

Abstract: Generally, inconsistent radial displacement at the equatorial circle is caused by the calculation of stress field based on the cylindrical shell and Laplace film theory for the cylinder body and the head respectively, and this inconsistency arises the phenomenon of theoretical structural separation which is incompatible with the actual deformation during the overall loading process. Due to the variation of angle, thickness and curvature of the fiber-wound composite shell head, the calculation of stress field is very complicated. Taking the inconsistency of radial displacement and deformation at the equator as starting point, the method of theoretical analysis of complex force field of fiber-wound composite head not only considers the sudden change of the structure curvature at the equatorial circle, but also considers that of the stiffness of material on the structure at the same time. And by making the metal connector end face pressure load to be the equivalent load of contact part of the composite, the radial film displacement under the equivalent load of pole hole is used as the boundary condition of the control equation. Based on the plate and shell theory, this paper discussed the calculation method of the moment stress field of the fiber-wound composite case head, and established a theoretical model of composite rocket case with bending moment, explored the reason why pole hole always swell damage. A standard pressure test of a ø150 dry winding composite case was carried out, the comparison of analytical and numerical solutions show that the method has good approximation accuracy to describe the stress field distribution of the fiber winding composite material layers. According to the theoretical calculation results, reveals internal mechanism from the aspects of structural mutation and material stiffness mutation, as well as the law of shell stress under different winding schemes. This calculation method has the potential to lay a theoretical foundation for a reasonable structural design, which is of great significance to quickly understand the overall strain state of the case at the beginning of design.

Key words: composite materials shell, filament winding, laminate, plate and shell theory, stress analysis of dome

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