轴对称弹性薄壳自振频率与模态的计算  

Calculation of Natural Frequencies and Modes of Thin Elastic Axisymmetric Shells

作　　者：赵键[1] 汪鸿振[2] 朱物华 

机构地区：[1]中山大学应用力学与工程系 [2]上海交通大学振动,冲击与噪声研究所

出　　处：《中山大学学报（自然科学版）》1990年第4期12-16,共5页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金

摘　　要：在传统的传递矩阵法的基础上,用分部积分化薄壳轴对称振动常微分方程为积分方程组;采用线性插值技术得到相邻节点间变量的传递矩阵;进一步确定各分节区段上的传递矩阵,用矩阵的高斯消去法将边界条件从壳体的一端转化到另一端,从而求解。本文还提出了壳体带封闭端情形的直接处理方法。Based on the traditional transfer matrix method, the ordinary differentialequations of symmetric vibration are converted to integral equations, Thetransfer matrix between two nodes is obtained by employing linear interpolatingtechnique. Furthermore, the transfer matrix of each segment is determined, andthe boundary conditions are conveyed from one end to the other by Gauss matrixelimination. It is suggested that the problem of closed shell can be dealt withby multiplying infinitisimals of appropriate order to eliminate singular factors inthe equations.

关 键 词：弹性薄壳 振动 传递矩阵法 频率 

分 类 号：TB123[理学—工程力学]