Random Vibration Analysis of Coupled Three-Dimensional Maglev Vehicle-Bridge System

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...

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Main Authors: Wei Liu, Wenhua Guo
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2019/4920659
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author Wei Liu
Wenhua Guo
author_facet Wei Liu
Wenhua Guo
author_sort Wei Liu
collection DOAJ
description 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.
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spelling doaj-art-4d7d7e5775b443fb8c97f1cb6dbae4e62025-02-03T05:47:39ZengWileyAdvances in Civil Engineering1687-80861687-80942019-01-01201910.1155/2019/49206594920659Random Vibration Analysis of Coupled Three-Dimensional Maglev Vehicle-Bridge SystemWei Liu0Wenhua Guo1School of Civil Engineering, Central South University, Tianxin District, Changsha 410075, ChinaSchool of Civil Engineering, Central South University, Tianxin District, Changsha 410075, ChinaThis 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.http://dx.doi.org/10.1155/2019/4920659
spellingShingle Wei Liu
Wenhua Guo
Random Vibration Analysis of Coupled Three-Dimensional Maglev Vehicle-Bridge System
Advances in Civil Engineering
title Random Vibration Analysis of Coupled Three-Dimensional Maglev Vehicle-Bridge System
title_full Random Vibration Analysis of Coupled Three-Dimensional Maglev Vehicle-Bridge System
title_fullStr Random Vibration Analysis of Coupled Three-Dimensional Maglev Vehicle-Bridge System
title_full_unstemmed Random Vibration Analysis of Coupled Three-Dimensional Maglev Vehicle-Bridge System
title_short Random Vibration Analysis of Coupled Three-Dimensional Maglev Vehicle-Bridge System
title_sort random vibration analysis of coupled three dimensional maglev vehicle bridge system
url http://dx.doi.org/10.1155/2019/4920659
work_keys_str_mv AT weiliu randomvibrationanalysisofcoupledthreedimensionalmaglevvehiclebridgesystem
AT wenhuaguo randomvibrationanalysisofcoupledthreedimensionalmaglevvehiclebridgesystem