复合材料科学与工程 ›› 2020, Vol. 0 ›› Issue (3): 37-43.

• 基础研究 • 上一篇    下一篇

变刚度圆柱壳屈曲分析及铺丝路径优化

吴双华, 尹冠生*, 陈童, 张博   

  1. 长安大学理学院,西安710064
  • 收稿日期:2019-07-01 出版日期:2020-03-28 发布日期:2020-03-28
  • 通讯作者: 尹冠生(1958-),男,博士,教授,主要从事结构动力学方面的研究,yings@chd.edu.cn。
  • 作者简介:吴双华(1993-),男,硕士生,主要从事工程结构力学方面的研究。
  • 基金资助:
    国家自然科学基金(11702033)

BUCKLING ANALYSIS OF VARIABLE STIFFNESS CYLINDRICAL SHELL AND OPTIMIZATION OF LAYING PATH

WU Shuang-hua, YIN Guan-sheng*, CHEN Tong, ZHANG Bo   

  1. School of Science, Chang′an University, Xi′an 710064, China
  • Received:2019-07-01 Online:2020-03-28 Published:2020-03-28

摘要: 为提高变刚度圆柱壳的抗屈曲性能,设计两种铺丝方案并运用径向基函数代理模型优化两种铺丝方案中的参数。将ABAQUS和ANSYS的计算结果进行对比,验证ABAQUS建模的可靠性;运用ABAQUS分别对外压荷载、内压荷载、外压轴压组合荷载和内压轴压组合荷载下的变刚度圆柱壳进行屈曲分析,并由MATLAB实现径向基函数代理模型优化算法,优化铺丝方案中的设计参数。结果表明:对比铺设角度线性变化的铺设方案,铺设角度非线性变化有利于提高内压轴压组合荷载下圆柱壳的抗屈曲性能;对于内压轴压组合荷载下的圆柱壳,增大参数m和n可以提高优化后的屈曲荷载;两种铺丝方案优化后的屈曲临界荷载和铺丝路径十分接近,验证了代理模型优化的准确性。径向基函数代理模型优化复杂铺丝方案中的参数是可行的,其优化结果可为纤维变角度铺丝构件提供一定的参考。

关键词: 变刚度圆柱壳, 铺丝方案, 径向基函数, 代理模型, 屈曲荷载

Abstract: In order to improve the buckling resistance of the cylindrical shell, two kinds of wire laying schemes were designed and the radial basis function metamodel was used to optimize the parameters in the two laying schemes. The calculation results of ABAQUS and ANSYS were compared to verify the reliability of ABAQUS modeling. The ABAQUS is used to analyze the buckling of the variable stiffness cylindrical shell under external pressure load, internal pressure load, combined load of external pressure and axial compression, combined load of internal pressure and axial compression. The radial basis function metamodel optimization algorithm is implemented by MATLAB to optimize the parameters of the wire laying scheme. The results show that compared with the laying method with linear variation of the laying angle, the non-linear variation of the laying angle is beneficial to improve the buckling resistance of the cylindrical shell under the combined load of the internal pressure and axial compression. For the cylindrical shell under the load of internal pressure and axial compression, the parameters m and n increased, which can improve the optimized buckling load. The buckling critical load and the laying path are approximate after optimization of the two wire laying schemes, and the accuracy of metamodel optimization is verified. It is feasible to optimize the parameters in the complex routing scheme by the radial basis function metamodel. The optimization results can provide a certain reference for the fiber-angled laying component.

Key words: variable stiffness cylindrical shell, wire laying scheme, radial basis function, metamodel, buckling load, metamodel

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