中低速磁浮列车系统振动响应的非线性度分析

Degree of Non-linearity Analysis for System Vibration Response of Middle and Low-speed Maglev Vehicle

基于磁浮列车车辆—轨道—桥梁耦合动力学、电磁学、控制学和现代信号分析理论,采用数学建模与数值计算方法研究磁浮控制系统不同参数状态下车辆振动响应的非线性特征(非线性度)。首先建立中低速磁浮列车—轨道—桥梁的耦合动力学模型和PID悬浮控制模型;然后编制数值计算程序,计算车辆系统在不同控制参数下的动力学响应及其非线性度指标;最后分析控制参数对车辆振动非线性度的影响规律。分析结果表明:当磁浮列车PID控制系统的比例反馈系数和微分反馈系数较小时,车体、悬浮块振动信号具有很强的非线性,但非线性度随反馈系数增大而减小;积分反馈系数对系统振动非线性度的影响很小。

Based on the maglev train-track-bridge coupling dynamics, electromagnetism, control theory and modern signal processing theory, the nonlinear characteristics(nonlinearity) of vehicle vibration response in different parameter states of maglev control system are studied by mathematical modeling and numerical calculation. First, the coupled dynamic model of middle and low-speed maglev traintrack-bridge and the model of PID maglev control are established, and then a numerical program is developed to calculate the dynamic response and nonlinear index of vehicle system when different parameters are used in the control system. The analysis results show that when the proportional feedback coefficient kpand differential feedback coefficient kdof maglev train PID control system are small, the vibration signals of car body and maglev block have strong nonlinear characteristics, but the degree of non-linearity decreases with the increase of feedback coefficient, while the integral feedback coefficient kihas little effect on the vibration degree of non-linearity of vehicle system.