Vibration characteristics and parameter feasible region of a type of HTS maglev

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (18) : 30-38.

ZHANG Mingliang1,2，YANG Xinmeng1，LIU Liru1，LI Mingyuan1

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Abstract

Due to the influence of track irregularity and wind resistance and other factors, the suspension gap of high temperature superconductor (HTS) maglev changes during operation. The levitation force characteristics of the train have the ability to restore to the original equilibrium position. The vibration of the train will occur in the recovery process, therefore, the free vibration behavior of the train need to be studied. The levitation force between HTS and the permanent magnet track under different levitation gaps is measured by way of the experimental platform, and the empirical formula of levitation force is constructed. The dynamic model of train under free vibration is established based on empirical formula. The non-dimensionalization method is used to deal with the dynamic model to obtain the weak nonlinear system. The multi-scale method is used to solve the weak nonlinear system, and the approximate analytical solution is compared with the numerical solution to verify its correctness. Based on the approximate analytical solution, the expressions of displacement and maximum acceleration of the train under free vibration are obtained. The influence of system parameters (damping pre mass and stiffness pre mass) on the maximum acceleration is studied. The results show that the maximum acceleration increases with the increase of system parameters. Based on the safety and comfort standard of magnetic suspension vehicle, an analytical method to determine the feasible region of system parameters is proposed. The studied result shows that the feasible region presents an approximate triangular region. The purpose of this manuscript is to provide a basis for the parameter design of the magnetic track relationship of this type of maglev.

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HTS maglev / Multi-scale method / Vibration characteristics / Parameter feasible region

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ZHANG Mingliang1,2，YANG Xinmeng1，LIU Liru1，LI Mingyuan1. Vibration characteristics and parameter feasible region of a type of HTS maglev[J]. Journal of Vibration and Shock, 2023, 42(18): 30-38

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