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四边简支正交各向异性圆柱扁壳的后屈曲和非线性振动

NONLINEAR FREE VIBRATION AND POSTBUCKLING OF ORTHOTROPIC SHALLOW CYLINDRICAL SHELLS

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【作者】 郑健龙钟正华

【Author】 Zheng Jianlong(Changsha Communications Institute)Zhong Zhenghua(Hunan University)

【机构】 长沙交通学院湖南大学

【摘要】 本文在几何非线性三维弹性理论的基础上,通过量级分析导出了考虑横向剪切效应的正交各向异性纤维增强复合材料扁壳的基本方程,并应用伽略金方法求得了四边可动简支正交各向异性圆柱形扁壳后屈曲变形和非线性自由振动问题的数值解。计算结果表明:对于复合材料而言,横向剪切效应是值得注意的。

【Abstract】 In this paper the governing equations of fibre forced orthotropie composite shallow cylindrical shells including the effect of transverse shear deformation are derived by means of scale-order analysis on the basis of geometrically nonlinear three dimensional theory of elasticity. And the numerical solutions for nonlinear free vibration and postbuckling of orthotropic shallow cylindrical shells with all movable simply supported edges are obtained by the use of the Galerkin procedure. The calculated results show that as far as composite materials are concerned, the effect of transverse shear deformation is worth notice.

  • 【文献出处】 固体力学学报 ,Acta Mechanica Solida Sinica , 编辑部邮箱 ,1988年02期
  • 【被引频次】3
  • 【下载频次】92
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