超高速磁浮车-轨道梁竖向耦合振动分析

Vertical coupling vibration analysis of ultra high-speed maglev vehicle guideway

针对超高速磁浮车-轨道梁竖向耦合振动的问题,提出一种基于轨道梁有限单元模型和磁浮力比例-积分-微分(PID)控制器模型的分析方法。为提高计算效率,整体耦合系统以磁浮力为界,分为车辆和轨道梁2个子系统,车-梁之间的振动耦合则通过PID控制器计算的磁浮力来完成。组成耦合系统的子系统分别采用振型分解法和四阶龙格库塔法计算其振动响应。为验证方法的有效性以及了解超高速磁浮车桥耦合振动特性,使用Mathematica编程进行超高速磁悬浮车-轨道梁的耦合振动分析,得到运行速度为600km/h的车辆和轨道梁的动力响应。研究成果可为超高速磁浮轨道结构设计和关键技术研究提供参考。

To analyze the vertical coupling vibration of ultra high-speed maglev vehicle guideway,an analysis method was developed based on finite element beam model and proportion-integration-differentiation (PID) controller-magnetic buoyancy model.To improve the computational efficiency of the method,the whole coupling system was divided into vehicle and guideway two subsystems at the place of magnetic buoyancy,and used magnetic buoyancy calculated by PID controller to accomplish the vibration coupling of maglev vehicle and guideway.The vibration response of each subsystem was calculated by the methods of the mode decomposition method and the four order Runge-Kutta method.To verify the effectiveness of the method and study the coupling vibration characteristics of the whole system,analyzing the vertical coupling vibration of the ultra high-speed maglev vehicle guideway system by using Mathematica software,obtaining the vibration response of guideway and maglev vehicle with the speed of 600 km/h.This research can provide a reference for the design and key technology research of the ultra high-speed maglev track structure.