基于Matlab的连续梁桥动力响应分析  

Dynamic response analysis of continuous beam bridge based on MATLAB

作　　者：李长松 黄方林[2] 

机构地区：[1]中铁五局机械化工程有限责任公司,湖南衡阳421002 [2]中南大学土木建筑学院,湖南长沙410075

出　　处：《铁道科学与工程学报》2010年第1期16-20,共5页Journal of Railway Science and Engineering

基　　金：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。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 simulated by using Matlab platform. The vibration equations of the continuous beam system were solved by the second - developed ODE functions. The analysis results show that the method proposed in this paper is feasible and effective, and has higher precision.

关 键 词：MATLAB 连续梁 插值振型函数 模态分析 

分 类 号：U448.215[建筑科学—桥梁与隧道工程]