Abstract

This paper presents a framework for the linear random vibration analysis of the coupled three‐dimensional (3D) maglev vehicle‐bridge system. Except for assembling the equation of motion of vehicle only via the principle of virtual work, the fully computerized approach is further expanded to assemble the governing equation of fluctuating current via the equilibrium relation. A state‐space equation couples the equation of motion of the vehicle and the governing equation of fluctuating current. The equation of motion of a real three‐span space continuous girder bridge is established by using finite element methods. A separated iteration method based on the precise integration method and the Newmark method is introduced to solve the state‐space equation for the maglev vehicle and the equation of motion for the bridge. Moreover, a new scheme to application of the pseudoexcitation method (PEM) in random vibration analysis is proposed to maximize the computational efficiency of the random vibration analysis of the maglev vehicle‐bridge system. Finally, the numerical simulation demonstrates that the proposed framework can efficiently obtain the mean value, root mean square (RMS), standard deviation (SD), and power spectral density (PSD) of dynamic response for the coupled 3D maglev vehicle‐bridge system.

Highlights

  • The proposed framework is that the random vibration model of the maglev vehicle-bridge system is decomposed into two independent parts: (i) the vehicle model with the state-space equation and (ii) the bridge model with the equation of motion. ese two parts are coupled through linearized electromagnetic forces

  • Numerical simulation will indicate that the proposed framework is appropriate and efficient for the linear random vibration analysis of the 3D maglev vehicle-bridge system

  • The single equation of motion of the bridge is expanded to the overall equation of motion of the coupled vehicle-bridge system, and the additional elements generated from the vehicle are automatically assembled into the corresponding position in the overall equation of motion based on the principle of virtual work

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Summary

Wei Liu and Wenhua Guo

Based on the urban transit maglev (UTM) in Korea, Min et al simulated the EMS-type vehicle as a detailed 25-DOFs model with a rigid cabin supported by four suspension bogies to investigate the spatial vibration characteristics of the maglev vehicle traveling along the simple supported beam [9]. Except for assembling the equation of motion of vehicle only via the principle of virtual work, the fully computerized approach is further expanded to assemble the governing equation of fluctuating current via the equilibrium relation. 2. State-Space Equation of the 3D Maglev Vehicle e fully computerized approach to assemble the matrices of equation of motion of the coupled vehicle-bridge system is presented by Guo and Xu [15].

Bogie φbpq xbpq Left zbpq
Height of cabin
Track girder
Pseudoexcitation Method
Vehicle on the bridge
Findings
2Cbr Δt
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