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层合中厚非圆截面柱壳的非线性振动分析

Analysis of nonlinear vibration for laminated non-circular cylindrical thick shells

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【作者】 傅衣铭欧耀辉杨金花

【Author】 FU Yi-ming,OU Yao-hui,YANG Jin-hua(College of Mechanics and Aerospace,Hunan University,Changsha 410082,China)

【机构】 湖南大学力学与航空航天学院湖南大学力学与航空航天学院 湖南长沙410082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。

【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.

【基金】 国家自然科学基金(10572049)资助
  • 【文献出处】 湖南理工学院学报(自然科学版) ,Journal of Hunan Institute of Science and Technology(Natural Sciences) , 编辑部邮箱 ,2007年01期
  • 【分类号】O322
  • 【被引频次】1
  • 【下载频次】68
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