The natural vibration of a symmetric cross-ply laminated composite conical-plate shell

被引:22
作者
Liang, Sen [1 ]
Chen, H. L.
Chen, Tianning
Wang, Michael Yu
机构
[1] Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Hong Kong, Hong Kong, Peoples R China
[2] Xian Jiaotong Univ, Sch Mech Engn, Xian 710049, Peoples R China
基金
中国国家自然科学基金;
关键词
composite laminated conical shells; natural frequency; mode shape; numerical simulation;
D O I
10.1016/j.compstruct.2006.05.014
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The feasibility of using the transfer matrix method to analyze a composite laminated conical-plate shell is explored theoretically. With the vibration theory and the transfer matrix method combined, the dynamic characteristics of a symmetric cross-ply laminated conical shell with an annular plate at the top end are investigated in detail. The governing equations of vibration for this system are expressed by the matrix differential equations, and the coefficient matrixes and joining matrix are derived. After the relationship between the transfer matrix and the coefficient matrix is established, the fourth order Runge-Kutta method is used numerically to solve the matrix equation. Once the transfer matrix of single component has been obtained, the product of each component matrix and the joining matrix can compose the matrix of entire structure. The frequency equations, mode shape and force vector are formulated in terms of the elements of the structural matrices. The 3D finite element numerical simulation has validated the present formulas of natural frequencies and mode shapes. The conclusions illustrate that this investigation will provide an important foundation for the advanced development of the laminated composite combination shells. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:265 / 278
页数:14
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