The natural vibration of a symmetric cross-ply laminated composite conical-plate shell
The natural vibration of a symmetric cross-ply laminated composite conical-plate shell
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DOI：
10.1016/j.compstruct.2006.05.014
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发表时间：
2007-09
影响因子：
6.3
通讯作者：
Sen Liang;Hualing Chen;Tianning Chen;M. Wang
中科院分区：
文献类型：
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作者：
Sen Liang;Hualing Chen;Tianning Chen;M. Wang
从理论上探讨了用传递矩阵法分析复合材料层合锥板壳的可行性。将振动理论与传递矩阵法相结合，对顶端有环形板的对称正交铺设层合锥壳的动力特性进行了详细的研究。将系统的振动控制方程用矩阵微分方程表示，导出了系统的系数矩阵和连接矩阵。在建立了传递矩阵与系数矩阵之间的关系后，采用四阶龙格-库塔法对矩阵方程进行数值求解。一旦得到单个元件的传递矩阵，各元件矩阵与连接矩阵的乘积就可以组成整个结构的传递矩阵。频率方程、振型和力矢量均由结构矩阵的元素表示。三维有限元数值模拟验证了本文固有频率和振型计算公式的正确性。研究结果为复合材料层合组合壳的进一步发展提供了重要依据。
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.