Free vibration analysis of plate/shell coupled structures by the method of reverberation-ray matrix
Free vibration analysis of plate/shell coupled structures by the method of reverberation-ray matrix
复制标题
混响射线矩阵法板壳耦合结构自由振动分析
DOI：
10.21595/jve.2016.16950
复制
发表时间：
2016-08
影响因子：
1
通讯作者：
Wu Guoxun
中科院分区：
文献类型：
--
作者：
Tang Dong;Yao Xiongliang;Wu Guoxun
本文用混响射线矩阵法研究了简支双棱板壳耦合结构的自由振动问题。介绍了基于经典薄板理论和弗拉格薄壳理论的平板和开式圆柱壳的运动方程。得到了沿周向的行波和沿轴向的驻波组合的解析解。采用混响射线矩阵法推导了板壳耦合结构的固有频率方程。利用黄金分割搜索算法得到了半解析固有频率。给出了三个典型板壳耦合结构的半解析计算结果，并与有限元法计算结果进行了比较。对比表明，本文的计算结果具有较高的精度，本文所提出的公式适用于板壳耦合结构的自由振动分析。
This paper is concerned with free vibration analysis of plate/shell coupled structures with two opposite edges simply supported by the method of reverberation-ray matrix. The equations of motion of the flat plate and the open circular cylindrical shell, respectively based on the classical thin plate theory and the Flugge thin shell theory, are introduced. Analytical solutions of the combination of a traveling wave form along the circumferential direction and a standing wave form along the axial direction are obtained. The method of reverberation-ray matrix is applied to derive the equation of the natural frequencies for the plate/shell coupled structures. The semi-analytical natural frequencies are obtained with the employment of the golden section search algorithm. The semi-analytical calculation results of three typical plate/shell coupled structures are presented and the results are compared with those obtained by the finite element method. The comparison shows that the calculation results obtained in this paper are of high accuracy and that the formulation presented in this manuscript are validated for free vibration analysis of plate/shell coupled structures.
登录
查看更多内容
任意边界条件圆柱壳自由振动的混响射线矩阵法分析
影响因子：
1.6
作者：
Tang Dong;Wu Guoxun;Yao Xiongliang;Wang Chuanlong;Wu GX
通讯作者：
Wu GX
影响因子：
7.3
作者：
Y. Qu;S. Wu;Yong Chen;H. Hua
通讯作者：
Y. Qu;S. Wu;Yong Chen;H. Hua
影响因子：
4.7
作者：
A. Schlesinger
通讯作者：
A. Schlesinger
影响因子：
4.7
作者：
R. A. Fulford;B. Petersson
通讯作者：
R. A. Fulford;B. Petersson
影响因子：
6.3
作者：
Sen Liang;Hualing Chen;Tianning Chen;M. Wang
通讯作者：
Sen Liang;Hualing Chen;Tianning Chen;M. Wang