基于有限元的曲线连续梁桥车桥耦合振动分析

考虑车桥耦合振动计算了汽车通过曲线连续梁桥时车辆和桥梁的振动。把车辆和曲线连续梁桥视作两个分离子体系,分别应用广义虚功原理和有限元法推导了两者的各自振动方程组,通过位移协调方程及车桥相互作用联系方程把车辆和曲线连续梁桥振动耦合起来,建立了车桥耦合振动方程,给出了采用有限元通用分析软件ANSYS实现公路曲线连续梁桥车桥耦合振动的计算方法。数值算例表明,该计算方法仅经3次迭代即可获得较高精度及可靠的数值结果,并与连续梁按规范给定的基频估算值计算的冲击系数进行对比,在平整桥面情况下,两者基本吻合,在桥面不平度等级为C级时,两者相差较大,这说明按现有规范计算曲线连续梁桥的冲击系数,在某些特定的条件下,有可能是不安全的。从而为公路曲线连续梁桥动力性能评价寻求了一种方便可靠的数值分析方法。

Analysis on Coupled Vibration of Vehicle and Curved Continuous Beam Bridge Based on FEM

The vehicle-bridge coupled vibration when automobile crossing the curved continuous beam bridge was calculated.The vehicle and curved continuous beam bridge were taken as two separated subsystems,each vibration equations set was derived by using the generalized virtual work principle and finite element method.Through coupling vehicle vibration and bridge vibration by compatibility equations of displacement and the contact equations of vehicle-bridge interaction,the vehicle-bridge coupled vibration equations...