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变截面圆拱的自由振动
引用本文:向天宇,郑建军. 变截面圆拱的自由振动[J]. 振动与冲击, 2000, 19(2): 59-63
作者姓名:向天宇  郑建军
作者单位:1. 西南交通大学桥梁与结构工程系,成都,610031
2. 北方交通大学土木建筑工程学院,北京,100044
摘    要:本文应用传递矩阵法研究了变截面圆拱的自由振动。用解析法推导了等截面圆拱单元的精确传递矩阵,再应用传递矩阵原理建立变截面圆供自由振动的特征方程。该法具有计算简单、节约内存的优点,可方便地用于实际结构计算和设计。

关 键 词:变截面圆拱 自由振动 传递矩阵法 桥梁 设计

FREE VIBRATION OF CIRCULAR ARCHES WITH VARIABLE CROSS-SECTION
Xiang Tianyu,Zheng Jianjun. FREE VIBRATION OF CIRCULAR ARCHES WITH VARIABLE CROSS-SECTION[J]. Journal of Vibration and Shock, 2000, 19(2): 59-63
Authors:Xiang Tianyu  Zheng Jianjun
Abstract:In the paper,the free vibration of circular arches with variable cross_section is studied by transfer matrix method.Applying analytical method,the exact transfer matrix of circular arches with constant cross_section is derived.The characteristic equation for the free vibration of circular arches with variable cross_section is established by use of transfer matrix method.The method presented in the paper has advantages of simplicity in calculation and of save in internal storage and can be conveniently used in the calculation and design of practical structures.
Keywords:circular arches with variable cross_section  free vibration  transfer matrix method.
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