车辆荷载作用下桥梁动力响应的仿真分析

Laijun Liu, He-Xu Liu, Z. Lei
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摘要

本文研究了随机路面粗糙度、车速、车道位置等因素对车辆运动碰撞效应的影响。为简便起见,将桥梁和移动的车辆作为两个独立的弹性结构进行模拟。采用虚功原理和有限元法可以写出两组运动方程。提出了位移方程和车桥相互作用方程,使两组方程耦合。根据GB/T7031-1986,得到随机路面粗糙度的样本值。首先在Matlab中采用威尔逊θ法求解车辆的动力方程,然后在ANSYS中求解桥梁的动力方程,从而得到车辆荷载作用下桥梁的动力响应。数值计算结果表明,冲击系数随车速增大而增大,随车辆与桥轴线的距离减小而减小,随桥面粗糙度的减小而显著增大。
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Simulation Analysis of Bridge's Dynamic Response under Vehicular Load
In this paper, the effects of random road surface roughness and vehicular speed, lane position on the impact effect due to moving vehicles are investigated. For simplicity, the bridge and moving vehicles are simulated as two separate elastic structures. Two sets of equations of motion can be written with the adoption of virtual work principle and finite element method. The displacement equation and the vehicle-bridge interaction equation that make the two sets of equations coupled are proposed. According to GB/T7031-1986, the sample values of random road surface roughness are obtained. The dynamic equations for vehicle are solved in Matlab with Wilson's θ method, and then the bridge's dynamic equations are worked out by ANSYS, thus bridge's dynamic response under vehicular load are acquired. The numerical results show that the value of impact factor increases with vehicle's speed, decreases with the vehicle's distance from the bridge axis, and increases significantly with the deterioration of highway bridge deck roughness.
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