考虑桥面不平顺的车桥耦合系统非线性振动

摘要

Vehicle and bridge are separated from two systems,The 1 /4 two free degree vehicle model is proposed,Simulated by sinusoid for bridge surface roughness,the systematic nonlinear vibration equations on vehicle-bridge coupled interaction were derived based on the Hamilton principle.The equa-tions were solved by using Galerkin and Runge-Kutta methods,then the time-domain response of the sim-ply-supported beam in bridge surface roughness caused by moving vehicle is obtained.The influence of the nonlinear,wavelength and amplitude of bridge surface roughness,vehicle velocity on vehicle-bridge coupled nonlinear vibration behaves was discussed.%以车桥接触处为界，提出了2自由度的1／4车辆模型，应用哈密尔顿能量原理，考虑梁的几何非线性影响，将桥面不平顺模拟成波动的正弦函数曲线，建立了车桥耦合作用下系统的非线性振动方程组。采用伽辽金法和龙格－库塔法求解，得到不平整桥面简支梁桥在车辆运行下的时域响应，探讨了几何非线性、桥面不平顺波长及幅值、车速等参数对车－桥耦合系统非线性振动性能的影响。