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层合中厚非圆截面柱壳的非线性振动分析
引用本文:傅衣铭,欧耀辉,杨金花. 层合中厚非圆截面柱壳的非线性振动分析[J]. 湖南理工学院学报:自然科学版, 2007, 20(1): 65-69
作者姓名:傅衣铭  欧耀辉  杨金花
作者单位:湖南大学力学与航空航天学院 湖南长沙410082
摘    要:基于Timoshere-Midlin假设和壳的非线性理论,建立了层合中厚非圆柱壳的非线性运动控制方程,采用伽辽金技术和谐波平衡法对问题进行求解。数值计算中,以两端简支L曲线截面中厚柱壳为例,讨论了截面形状参数、径厚比等因素对层合中厚非圆截面柱壳非线性幅频响应的影响,且与有关文献进行了比较。

关 键 词:层合非圆截面柱壳  横向剪切变形  非线性振动
文章编号:1672-5298(2007)01-0065-05
收稿时间:2006-06-08
修稿时间:2006-06-08

Analysis of nonlinear vibration for laminated non-circular cylindrical thick shells
FU Yi-ming,OU Yao-hui,YANG Jin-hua. Analysis of nonlinear vibration for laminated non-circular cylindrical thick shells[J]. Journal of Hunan Institute of Science and Technology, 2007, 20(1): 65-69
Authors:FU Yi-ming  OU Yao-hui  YANG Jin-hua
Abstract:Based on the Timoshenko-Mindlin hypothesis and the nonlinear theory of shells,the nonlinear governing equations of motion for the laminated non-circular cylindrical thick shells are founded.And these equations are solved by using the Galerkin procedure and the method of harmonic balance.In numerical calculations,the laminated L-curve section cylindrical thick shells with both ends simply supported are investigated,and the effects of sectional shape and the radium-to-thickness ratio on the nonlinear amplitude-frequency response curves of laminated non-circular cylindrical shells are discussed.The present results are compared with available date.
Keywords:laminated non-circular cylindrical shells  transverse shear deformation  nonlinear vibration
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