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。
Each car of monorail train was idealized as a dynamic system with 15 degrees of freedom and its differential equations were derived by using Lagrange formulation.Track beam was idealized as Euler beam.The governing equations of motion for the coupled system of straddle type monorail beam and train were derived based on the energy method and the concert conditions of the displacements between train and monorail beam.The dynamic responses of the coupled system was studied.The calculated result of dynamic response of monorail beam was compared with the test data at different speeds.The result shows that the effect of train speed on the deflections of beam are less than the effect on the acceleration.The acceleration increases with the increase of train speed and reaches the highest value at 40~50 km·h-1,then decreases with the increase of train speed.Tire model and the beam's surface roughness power spectral density function have greater effect on the calculated result of the lateral responses,and make computation error increase.3 tabs,13 figs,11 refs.