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移动车辆荷载作用下含裂纹梁的非线性动力特性分析
引用本文:罗纪彬,肖勇刚,钱长照.移动车辆荷载作用下含裂纹梁的非线性动力特性分析[J].铁道科学与工程学报,2009,6(4).
作者姓名:罗纪彬  肖勇刚  钱长照
作者单位:长沙理工大学,土木与建筑学院,湖南,长沙,410074
基金项目:湖南省自然科学基金资助项目(08JJ5026)
摘    要:考虑车桥耦合效应,分析移动车辆荷载作用下含裂纹主梁的非线性动力特性.基于汉密尔顿原理和欧拉-柏努利梁的假说,建立含裂纹梁的非线性动力控制公式.应用龙格-库塔法对此非线性方程进行求解.通过数值计算,分析了裂纹的位置和深度的变化对车桥耦合系统中含裂纹主桥的非线形动力特性的影响.

关 键 词:车桥耦合  裂纹  非线性振动  龙格-库塔法

Nonlinear dynamic analysis of cracked main beam of bridge under moving vehicle
LUO Ji-bin , XIAO Yong-gang , QIAN Chang-zhao.Nonlinear dynamic analysis of cracked main beam of bridge under moving vehicle[J].Journal of Railway Science and Engineering,2009,6(4).
Authors:LUO Ji-bin  XIAO Yong-gang  QIAN Chang-zhao
Institution:LUO Ji-bin,XIAO Yong-gang,QIAN Chang-zhao (School of Civil Engineering , Architecture,Changsha University of Science & Technology,Changsha 410074,China)
Abstract:Considering the coupled interactions of moving oscillating loads,the dynamical equations of cracked main beam of bridge were derived based on the Hamilton principle and the hypothesis for Euler-Bernoulli beam.Using Runge-Kutta method,the nonlinear equations were solved.The influence of different locations and depths of crack on nonlinear vibration behaviors for the cracked main beam of bridge was analyzed by the numerical calculation.
Keywords:coupled interaction of vehicle-bridge  crack  nonlinear vibration  Runge-Kutta method  
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