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考虑桥面不平顺的车桥耦合系统非线性振动
Nonlinear Dynamic of Vehicle-Bridge Coupled Interaction System Considering Bridge Surface Roughness
【摘要】 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。
【Abstract】 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 equations were solved by using Galerkin and Runge-Kutta methods,then the time-domain response of the simply-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.
【Key words】 coupling vibration of vehicle-bridge; nonlinear vibration; bridge deck roughness; runge-kutta method;
- 【文献出处】 公路工程 ,Highway Engineering , 编辑部邮箱 ,2016年06期
- 【分类号】U441.3
- 【被引频次】7
- 【下载频次】169