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轴对称弹性薄壳自振频率与模态的计算
引用本文:赵键,汪鸿振.轴对称弹性薄壳自振频率与模态的计算[J].中山大学学报(自然科学版),1990,29(4):12-16.
作者姓名:赵键  汪鸿振
作者单位:中山大学应用力学与工程系,上海交通大学振动、冲击与噪声研究所,上海交通大学振动、冲击与噪声研究所
摘    要:

关 键 词:弹性薄壳  振动  传递矩阵法  频率

Calculation of Natural Frequencies and Modes of Thin Elastic Axisymmetric Shells
Zhao Jian,Wang Hongzhen,Zhu Wuhua.Calculation of Natural Frequencies and Modes of Thin Elastic Axisymmetric Shells[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,1990,29(4):12-16.
Authors:Zhao Jian  Wang Hongzhen  Zhu Wuhua
Institution:Zhao Jian,Wang Hongzhen,Zhu Wuhua Department of Applied Mechanics and Engineering,Zhongshan University
Abstract: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.
Keywords:thin elastic shell  vibration  transfer matrix method  
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