Abstract

Abstract An optimal control algorithm using a virtual tuned mass damper called virtual TMD to control the levitation force of a magnetic system is developed for resonance suppression of a maglev vehicle moving on multi-span guideway girders. Since the optimal dynamic parameters of a TMD in vibration control are well developed, the optimal tuning gains required to control the magnetic oscillations of the maglev bogie can be directly used and fed back to the maglev control system. To address the dynamic interaction analysis from the maglev vehicle to the guideway girders and vice versa, the entire coupling system is decomposed into two subsystems, one is the moving vehicle subsystem and another the stationary guideway subsystem. Then, an incremental–iterative procedure associated with the Newmark method is presented to solve the two sets of subsystem equations. Finally, the control effectiveness and parametric studies of the optimal virtual TMD scheme on resonance reduction of the moving maglev vehicle are demonstrated.

Highlights

  • Since the 1970s, Japan and Germany have been developing magnetic levitation transport for their potential necessity of growing cities in the future [1]

  • As a maglev vehicle travels over a flexible guideway girder, magnetic dynamics between the two coupling subsystems is of great interest in conducting vehicle–guideway interaction system of maglev transport [1,2,3,4,5,6,7,8,9]

  • Considering magnetic dynamics, Zheng et al [2, 3] developed two types of vehicle/guideway coupling models with controllable magnetic suspension systems to observe the dynamic phenomena of divergence, flutter and collision for a maglev vehicle traveling on a flexible guideway

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Summary

INTRODUCTION

Since the 1970s, Japan and Germany have been developing magnetic levitation (maglev) transport for their potential necessity of growing cities in the future [1]. Wang et al [9] presented a framework for dynamic coupling analysis of a high-speed maglev train moving on a series of curved viaducts. Their studies indicated that in addition to track radius, cant deficiency would be another key issue to affect the structural safety of the viaduct. The control effectiveness of the proposed virtual TMD scheme in reducing resonant vibration of a maglev vehicle moving on multi-span guideways will be verified

THEORETICAL FOR MUL ATION
Virtual TMD and tuning forces
DETER MINATION OF OPTIMAL CONTROL V O LTA G E
SOLUTION FOR THE BEAM–VEHICLE E Q U AT I O N S
GUIDEWAY IRREGULARITY
ILLUSTR ATIVE EXAMPLES
Control effectiveness of the virtual TMD scheme
CLOSING REMARKS
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