scholarly journals Formulation of three-dimensional equations of motion for train–slab track–bridge interaction system and its application to random vibration analysis

2016 ◽  
Vol 40 (11-12) ◽  
pp. 5891-5929 ◽  
Author(s):  
Zhi-Ping Zeng ◽  
Fu-Shan Liu ◽  
Ping Lou ◽  
Yan-Gang Zhao ◽  
Li-Min Peng
Keyword(s):  
Vibration Analysis ◽  
Random Vibration ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Slab Track ◽  
Interaction System ◽  
Track Bridge ◽  
Random Vibration Analysis

scholarly journals Numerical Simulation of Vertical Random Vibration of Train-Slab Track-Bridge Interaction System by PEM

2014 ◽  
Vol 2014 ◽  
pp. 1-21 ◽  
Author(s):  
Zhi-ping Zeng ◽  
Zhi-wu Yu ◽  
Yan-gang Zhao ◽  
Wen-tao Xu ◽  
Ling-kun Chen ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Random Vibration ◽  
Equations Of Motion ◽  
Gaussian Stochastic Process ◽  
Random Load ◽  
Energy Principle ◽  
Slab Track ◽  
Interaction System ◽  
Rail Irregularity ◽  
Track Bridge

The paper describes the numerical simulation of the vertical random vibration of train-slab track-bridge interaction system by means of finite element method and pseudoexcitation method. Each vehicle is modeled as four-wheelset mass-spring-damper system with two-layer suspension systems. The rail, slab, and bridge girder are modeled by three-layer elastic Bernoulli-Euler beams connected with each other by spring and damper elements. The equations of motion for the entire system are derived according to energy principle. By regarding rail irregularity as a series of multipoint, different-phase random excitations, the random load vectors of the equations of motion are obtained by pseudoexcitation method. Taking a nine-span simply supported beam bridge traveled by a train consisting of 8 vehicles as an example, the vertical random vibration responses of the system are investigated. Firstly, the suitable number of discrete frequencies of rail irregularity is obtained by numerical experimentations. Secondly, the reliability and efficiency of pseudoexcitation method are verified through comparison with Monte Carlo method. Thirdly, the random vibration characteristics of train-slab track-bridge interaction system are analyzed by pseudoexcitation method. Finally, applying the 3σrule for Gaussian stochastic process, the maximum responses of train-slab track-bridge interaction system with respect to various train speeds are studied.

Random vibration analysis of train-slab track-bridge coupling system under earthquakes

2015 ◽  
Vol 54 (5) ◽  
pp. 1017-1044 ◽  
Author(s):  
Zhi-Ping Zeng ◽  
Xian-Feng He ◽  
Yan-Gang Zhao ◽  
Zhi-Wu Yu ◽  
Ling-Kun Chen ◽  
...  
Keyword(s):  
Vibration Analysis ◽  
Random Vibration ◽  
Slab Track ◽  
Coupling System ◽  
Track Bridge ◽  
Random Vibration Analysis

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

2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Wei Liu ◽  
Wenhua Guo
Keyword(s):  
State Space ◽  
Governing Equation ◽  
Vibration Analysis ◽  
Random Vibration ◽  
Three Dimensional ◽  
Equation Of Motion ◽  
Maglev Vehicle ◽  
Random Vibration Analysis ◽  
Space Equation ◽  
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 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.

Non-stationary random vibration analysis of three-dimensional train–bridge systems

2010 ◽  
Vol 48 (4) ◽  
pp. 457-480 ◽  
Author(s):  
Z. C. Zhang ◽  
J. H. Lin ◽  
Y. H. Zhang ◽  
W. P. Howson ◽  
F. W. Williams
Keyword(s):  
Vibration Analysis ◽  
Random Vibration ◽  
Three Dimensional ◽  
Random Vibration Analysis

Random Vibration Analysis of the Underframe Structure on a High-Speed Train

ICTE 2015 ◽  
2015 ◽  
Author(s):  
Hanfei Guo ◽  
Xiaoxue Liu ◽  
Wei Tong ◽  
Youwei Zhang ◽  
Yanlei Zhang
Keyword(s):  
Vibration Analysis ◽  
High Speed ◽  
Random Vibration ◽  
High Speed Train ◽  
Random Vibration Analysis

Non-stationary random vibration analysis of structures under multiple correlated normal random excitations

2017 ◽  
Vol 400 ◽  
pp. 481-507 ◽  
Author(s):  
Yanbin Li ◽  
Sameer B. Mulani ◽  
Rakesh K. Kapania ◽  
Qingguo Fei ◽  
Shaoqing Wu
Keyword(s):  
Vibration Analysis ◽  
Random Vibration ◽  
Random Vibration Analysis
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