磁浮系统车轨耦合振动分析

Maglev Vehicle and Guideway Coupling Vibration Analysis

针对车轨耦合磁浮系统中的振动现象,利用双环PID算法控制,研究其产生的根源.首先,建立了车轨耦合磁浮系统动力学模型,并把该非线性模型在平衡点线性化;其次,由于控制参数变化,线性化系统特征多项式会出现各种零实部根,分别得到了系统出现零实部根的条件;最后,利用中心流形对各种振动情况进行了分岔方程的推导以及仿真分析,并讨论了出现混沌现象的可能.研究结果表明,磁浮车轨耦合系统会出现同宿分岔、Hopf分岔、二次Hopf分岔和混沌,这是磁浮系统振动的根源.

Under classic double loop PID control,the vibrations of maglev vehicle and guideway coupling system are researched.First,the coupling maglev mathematic model is set up and linearized at the equilibrium point.Second,due to the varies of the control parameters,the roots of the characteristic polynomial of the linear system will have zero real part,the sufficient terms of this condition are got.Finally,the bifurcation equations are deduced,the vibrations are simulated,and the probability of chaos emergence by way of period doubling bifurcation are also discussed.Research results show that the bifurcations will arise such as homoclinic,Hopf and period doubling bifurcations.