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考虑路面随机不平顺激励,采用大型有限元通用分析软件ANSYS实现了公路简支梁桥考虑车桥动力耦合的振动响应计算。采用5个自由度的汽车计算模型模拟重车,采用梁单元模型模拟简支梁桥,把车辆和桥梁视作2个分离子体系,分别应用d‘Alembert原理和有限元法建立各自的振动方程组。在matlab平台上利用Newmark-β法求解车辆振动方程组,得出车辆振动的位移、速度等随时间的变化规律。通过车桥位移协调方程及车桥相互作用力相等的联系方程将车桥振动方程耦合,建立车桥耦合的振动方程,计算得出了考虑车桥耦合振动下的汽车和桥梁动力响应。
Considering the irregular random excitation of the pavement, the vibration response calculation considering the coupling of the axle and the bridge is realized by using the large-scale finite element general analysis software ANSYS. The vehicle with five degrees of freedom is used to simulate the heavy vehicle and the beam element model is used to simulate the simple girder bridge. The vehicle and bridge are regarded as two separate sub-systems. Their respective vibration equations are established using the principle of d’Alembert and the finite element method group. The Newmark-β method is used to solve the vehicle vibration equations on matlab platform, and the displacement and velocity of the vehicle are obtained. The vibration equation of the vehicle-bridge coupling is established by coupling equations of the bridge displacement and the equation of equal interaction of the axle and the bridge, and the dynamic response of the vehicle and the bridge is calculated considering the coupling vibration of the vehicle.