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研究了车桥耦合系统在轨道高低不平顺激励下的垂向平稳随机振动。车辆采用二系悬挂6个自由度的四轴客车空间模型,桥梁采用空间梁单元模型,轨道不平顺假设为多点异相位平稳随机激励。采用虚拟激励法将轨道不平顺转化为一系列的简谐荷载形式。运用分离迭代法求解车桥耦合系统振动方程。分别采用虚拟激励法和Monte Carlo法对单跨33.3 m简支梁进行随机振动分析,验证了文中方法的正确性。最后以一列火车通过单跨33.3 m简支梁为例,研究了车桥时变耦合系统的垂向随机动力特性。
The vertical and steady random vibration of the vehicle-bridge coupling system under the high and low irregular orbital excitation is studied. The vehicle adopts four-axis passenger space model with two degrees of freedom and six degrees of freedom. The bridge adopts the spatial beam element model, and the orbit irregularity is assumed as the multi-point and out-of-phase stable random excitation. The virtual excitation method is used to transform the orbit irregularity into a series of simple harmonic load forms. Solving the vibration equation of the vehicle - bridge coupling system by using separation iteration method. The stochastic vibration analysis of the 33.3 m single-span beam with single span is carried out by using the virtual excitation method and the Monte Carlo method respectively, which verifies the correctness of the method. Finally, taking a train of single-span 33.3 m simply supported beams as an example, the vertical stochastic dynamic characteristics of a vehicle-bridge time-varying coupling system are studied.