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基于Matlab的连续梁桥动力响应分析
引用本文:李长松,黄方林.基于Matlab的连续梁桥动力响应分析[J].铁道科学与工程学报,2010,7(1).
作者姓名:李长松  黄方林
作者单位:中铁五局机械化工程有限责任公司,湖南,衡阳,421002;中南大学土木建筑学院,湖南,长沙,410075
基金项目:国家自然科学基金资助项目(50675230)
摘    要:利用插值振型函数法来获得多跨连续梁的振型函数。建立连续梁桥振动方程,利用有限元分析软件Ansys对连续梁进行模态分析并将连续梁成千上万个自由度的有限元模型重构成数个自由度的动力学模型,且保持二者前几阶振型一致。基于M atlab数学分析软件模拟连续梁振型函数,利用ODE系列函数的二次开发函数来求解连续梁桥振动方程。计算表明本文方法可行、有效,具有较高的精度。

关 键 词:Matlab  连续梁  插值振型函数  模态分析

Dynamic response analysis of continuous beam bridge based on MATLAB
LI Chang-song , HUANG Fang-lin.Dynamic response analysis of continuous beam bridge based on MATLAB[J].Journal of Railway Science and Engineering,2010,7(1).
Authors:LI Chang-song  HUANG Fang-lin
Institution:1.Mechanization Engineering Limited Company of China Railway 5th Bureau Group;Hengyang 421002;China;2.School of Civil and Architectural Engineering;Central South University;Changsha 410075;China
Abstract:For a multi-span beam,the method to obtain the vibration mode functions by interpolation function was proposed.The vibration equations of the continuous beam system were established.By using finite element software Ansys,the modal analysis of the continuous beam was established.A large number of freedoms of the finite element model of the continuous beam were greatly reduced and reconstructed with several freedoms,and the first few modes are invariant.The vibration mode functions of the continuous beam were...
Keywords:Matlab  continuous beam  interpolating vibration mode function  mode analysis  
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