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将列车的每节车厢简化为15自由度的动力系统,由拉格朗日方程导出其振动微分方程,将轨道梁简化为欧拉梁,基于能量法和车辆与轨道梁位移协调条件,建立了车辆和轨道梁耦合运动控制方程,研究了跨座式单轨交通轨道梁的动力特性。计算了列车以不同车速通过时轨道梁的动力响应,并比较了计算结果与实测结果。比较结果表明:理论计算结果与实测结果基本吻合,车速对轨道梁挠度的影响较小,但对加速度影响较大,加速度随车速增大而增大,在40~50 km.h-1处出现最大值,之后随车速增大反而减小;轮胎模型与轨道表面不平度功率谱密度函数对轨道梁横向响应计算结果影响较大,使计算误差增大。
The train is reduced to 15 degrees of freedom for each car dynamic system, the Lagrange equation derived its differential equations of vibration, the simplified orbital beam Euler beam, based on the energy law and the vehicle and the track beam displacement coordination conditions, established Vehicle and track beam coupled motion control equations, studied the dynamic characteristics of straddle monorail track. The dynamic response of the track beam when the train passes at different speeds is calculated, and the calculation results and the measured results are compared. The results show that the theoretical calculation results are basically consistent with the measured results. The influence of vehicle speed on the deflection of the track girder is small but the acceleration is greatly affected. The acceleration increases with the increase of vehicle speed and occurs at 40-50 km · h -1 And then decreases with the increase of vehicle speed. The power spectral density function of tire model and orbit surface roughness has a great influence on the calculation results of lateral response of orbital girder, so the calculation error increases.