磁浮车辆道岔梁耦合系统悬浮稳定性研究

STUDY ON LEVITATION STABILITY OF MAGLEV VEHICLE TURNOUT BEAM COUPLING SYSTEM

运用非线性系统振动分叉理论,对磁浮车辆道岔梁耦合系统悬浮稳定性开展了研究,建立了悬浮电磁铁模型、悬浮控制器模型、车辆系统模型、道岔梁模型,构建了车岔耦合模型系统.详细分析了磁浮车辆在道岔梁上的动态悬浮行为,仿真再现了稳态悬浮、系统自激振动和悬浮吸死三种悬浮状态,利用演算法计算了不同悬浮控制参数下车岔系统悬浮振动的分叉特性.研究了道岔质量和固有频率与悬浮控制参数稳定域的关系.结果显示:控制参数kp的悬浮稳定域存在上下限值.下限之下为车辆悬浮系统低频自激振动,上限之上为车岔耦合自激振动.研究了道岔质量和固有频率与悬浮控制参数稳定域的关系,当道岔固有频率与悬浮频率相近时,悬浮控制参数稳定域上限值最小,稳定域下限值不受影响.通过改变道岔质量可以扩大悬浮稳定域,使系统避免车岔耦合自激振动.

Based on the bifurcation theory,the levitation stability of maglev vehicle turnout beam coupling system is studied.The magnetic levitation electromagnet model,levitation controller model,vehicle system model and turnout beam model are established,and the vehicle turnout coupling model system is constructed.The dynamic levitation behavior of maglev vehicle on turnout beam is analyzed in detail.Three levitation states,i.e.,steady levitation,self-excited vibration and levitation sucking,are simulated and reproduced.The bifurcation characteristics of levitation vibration of vehicle-turnout coupling system with different levitation control parameters are calculated by using the brute-force method.The relationship between the mass and natural frequency of turnout and the stability region of suspension control parameters is studied.The results show that there are upper and lower limits for the stability region of the control parameter kp.As kpis less than the lower limit,there is the low-frequency self-excited vibration of the vehicle suspension system.As kpis greater than the upper limit is the coupled self-excited vibration of the turnout.When the natural frequency of turnout is close to suspension frequency,the upper limit value of stability region of suspension control parameters is the smallest,and the lower limit value of stability region is not affected.By changing the mass of turnout,the levitation stability region can be expanded,and the coupling self-excited vibration of turnout can be avoided.