Research On Dynamics Of Plumb Bob Of Maglev Train

Maglev train is a new type of transportation vehicle with great potential for development.With the increase of population in China,the existing modes of transportation can no longer fully meet the high requirements of people's travel.Therefore,it is necessary to study the maglev train with good prospects.This paper focuses on the stability of maglev train in vertical motion.Taking the maglev train as the research object,the vertical movement of the maglev train was studied.The air gap and current were selected as the generalized coordinates of the suspension system of the maglev train,and the dynamic model of the maglev train suspension system was established according to the Lagrange-Maxwell equation.The model was a three order non-linear differential equation,linearized the model,using the Routh criterion to determined the expressions of the system parameters and stability,and numerical calculation was carried out by MATLAB,a stable boundary of the stable region map determined by multiple parameters.The results show that the air gap size increases with the increase of current and decreases with the increase of resistance.The change of mass has little effect on the air gap,current and resistance.The control theory of maglev train suspension system was further introduced,and the influence of the model control parameters on the suspension system was analyzed.Taking maglev train as the research object,the non-linear vibration of the suspension system was studied.The expression of slow-varying parameters was obtained by means of averaging method,and then expressions of the amplitude of the system was obtained by using the property of slow-varying.We use the perturbation method in MLP method to calculate and introduce non small parameters,the expression of the amplitude of the system was obtained by using the term of secular terms.The difference between the traditional MLP perturbation method and the traditional perturbation method was the difference between the basic solutions.But we can also use the condition of secular terms to get the expression of amplitude.Finally,the magnetic levitation system model was numerically solved.The time response curve was obtained to verify the feasibility of the established model.Figure25;Table10;Reference47.