磁悬浮列车的悬浮架系统自由振动特性研究

Study on Free Vibration Characteristics of Suspension Frame System of Maglev Train

高温超导钉扎磁悬浮列车的悬浮架系统自由振动特性会影响乘客的安全性和舒适性,对其研究十分重要。通过实验装置采集高温超导块组合和永磁轨道间的悬浮数据,得到悬浮力的经验公式,基于经验公式建立悬浮架系统垂向振动的动力学模型;利用多尺度法推导并验证悬浮架系统的悬浮间隙响应的近似解;基于悬浮间隙近似解得到了最大超调量和最大加速度的表达式,研究单位质量阻尼和单位质量刚度对最大超调量和最大加速度的影响,基于磁悬浮标准中的衰减性和舒适性两个动力学指标提出了一种确定系统参数可行域的方法。研究表明单位质量阻尼应小于19.6 s^(-1),单位质量刚度应小于139 s^(-2),且系统参数的可行域近似为扇形。本文的研究结果为悬浮架系统的参数设计提供了理论支撑。

The free vibration characteristics of the suspension system of high temperature superconducting pinned maglev trains will affect the safety and comfort of passengers,thus it is of great importance to study the free vibration of the suspension system.The levitation force data between the high temperature superconductors combination and the permanent magnet guideway is collected by the experimental device,and the empirical formula of the levitation force is obtained.The vertical vibration dynamic model of the suspension system is established based on the empirical formula.The multi-scale method is used to derive the approximate solution of suspension gap response,and the correctness of the approximate solution is verified.Based on the suspension gap approximation solution,the expressions of maximum overshoot and maximum acceleration of the system are derived,and the influence of damping per mass and stiffness per mass of system parameters on maximum overshoot and maximum acceleration is studied.According to the two dynamic indexes of attenuation and comfort of maglev standard,a method to determine the feasible region of system parameters is proposed.The results show that the damping per mass should be less than 19.6 s^(-1),the stiffness per mass should be less than 139 s^(-2),and the feasible range of system parameters should be approximately sector-shaped.The aim of this manuscript is to provide the theoretical support for the parameter design of the suspension system.