| 正交各向异性充液圆柱壳的自由振动 |
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| 引用本文： | 丁皓江,陈伟球,郭乙木,杨庆大.正交各向异性充液圆柱壳的自由振动[J].浙江大学学报(自然科学版 ),1997(2). |
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| 作者姓名： | 丁皓江 陈伟球 郭乙木 杨庆大 |
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| 作者单位： | 浙江大学土木系，浙江大学力学系 |
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| 摘 要： | 本文从三维弹性理论出发，在圆柱坐标下将三个位移分量用正交级数展开，并用Ｆｒｏｂｅｎｉｕｓ方法求解了关于三个未知函数的一个二阶常微分方程组．考虑到内部可压缩流体对柱壳的作用后，可得到两端简支的任意厚度正交各向异性充液圆柱壳非轴对称自由振动的频率方程．给出了若干算例，并与壳体理论的结果作了对比．
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| 关 键 词： | 正交各向异性圆柱壳 速度势函数 自由振动 |
Free vibrations of fluid filled orthotropic cylindrical shells |
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| Ding Haojiang Chen Weiqiu.Free vibrations of fluid filled orthotropic cylindrical shells[J].Journal of Zhejiang University(Engineering Science),1997(2). |
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| Authors: | Ding Haojiang Chen Weiqiu |
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| Abstract: | Based on three dimensional elastic theory, three components of displacement are expanded by orthotropic series and a second order ordinary differential equation is solved by Frobenius Method. Considering the effects of the fluid, we can get the frequency equations of the non axisymmetric vibration of orthotropic fluid filled cylindrical shells with arbitrary thickness. Some examples are carried out and some of them are compared to the results of the shell theory. |
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| Keywords: | orthotropic circular cylindrical shell velocity potential free vibration |
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