To explore the dynamic responses of medium-low speed maglev trains and bridges under stochastic track irregularities,the pseudo excitation method was introduced into the vibration analysis of the maglev train-bridge system.A stochastic vibration analysis method for the medium-low speed maglev train,suspension control system,and bridge coupling system was proposed.The medium-low speed maglev train was simplified as rigid bodies connected by spring dampers,and the current in the suspension system was actively controlled using the proportional-differential(PD)control method.The bridge was modeled by using a finite element method,and the stochastic track irregularity was converted into a pseudo excitation composed of a series of simple harmonic waves.The stochastic vibration analysis program for the medium-low speed maglev train-bridge dynamic system was developed,which could automatically generate the stochastic vibration equations of the system,and the separation iteration method was used to solve the control equation of the maglev train and the dynamic equation of the bridge.The research results indicate that the pseudo excitation method can efficiently calculate the stochastic dynamic response of the medium-low speed maglev train-bridge system,with a calculation efficiency of about 1/11 of the Monte Carlo method.Based on the pseudo excitation method,statistical results such as mean,standard deviation,and time-varying power spectral density of the medium-low speed maglev train-bridge dynamic system can be obtained.
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