Free Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions by the Method of Reverberation-Ray Matrix
Free Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions by the Method of Reverberation-Ray Matrix
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任意边界条件圆柱壳自由振动的混响射线矩阵法分析
DOI：
10.1155/2016/3814693
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发表时间：
2016-02
影响因子：
1.6
通讯作者：
Wu GX
中科院分区：
文献类型：
--
作者：
Tang Dong;Wu Guoxun;Yao Xiongliang;Wang Chuanlong;Wu GX
利用混响射线矩阵方法，建立了任意边界条件圆柱壳自由振动分析的分析程序。基于Flugge薄壳理论，求解运动方程，得到轴向行波和周向驻波的精确解。在这种单向行波解的基础上，引入混响射线矩阵方法，推导了任意边界条件下圆柱壳固有频率的统一、紧凑的方程形式。通过与其他研究人员给出的频率参数进行比较，验证了本文获得的确切频率参数。详细研究了弹性约束对频率参数的影响，并得出了一些新颖且有用的结论。
An analytical procedure for free vibration analysis of circular cylindrical shells with arbitrary boundary conditions is developed with the employment of the method of reverberation-ray matrix. Based on the Flugge thin shell theory, the equations of motion are solved and exact solutions of the traveling wave form along the axial direction and the standing wave form along the circumferential direction are obtained. With such a unidirectional traveling wave form solution, the method of reverberation-ray matrix is introduced to derive a unified and compact form of equation for natural frequencies of circular cylindrical shells with arbitrary boundary conditions. The exact frequency parameters obtained in this paper are validated by comparing with those given by other researchers. The effects of the elastic restraints on the frequency parameters are examined in detail and some novel and useful conclusions are achieved.
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影响因子：
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影响因子：
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作者：
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影响因子：
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作者：
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