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A Quasi-Vehicle/Bridge Interaction Model for High Speed Railways

Published online by Cambridge University Press:  23 January 2015

J.-D. Yau*
Affiliation:
Department of Architecture, Tamkang University, New Taipei, Taiwan
L. Frýba
Affiliation:
Institute of Theoretical and Applied Mechanics, ASCR, v.v.i. Prague, Czech Republic
*
*Corresponding author (jdyau@mail.tku.edu.tw)
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Abstract

Vehicle response is served as a reference to evaluate riding comfort of passengers and running safety of moving carriages for high speed trains. In analyzing the vehicle-bridge interaction (VBI) problems, two sets of coupled equations of motion for running vehicles and bridge need to be solved and the VBI system matrices must be updated and factorized at each time step in a time-history analysis. This paper proposed a quasi-VBI model to abridge the complicated computational process, in which the bridge is subjected to only moving static forces of the train loadings, and the moving vehicle over it is excited by the corresponding feedback bridge response. To examine the interacting degree of the vehicle with the bridge, a coupling evaluation index (CEI) is defined as a quantitative assessment of the VBI system. The numerical parametric studies reveal that (1) the mass ratio of vehicle to bridge is the most sensitive parameter affecting the bridge response; (2) increasing bridge damping can reduce the coupling degree of the VBI system at high speeds; (3) the present quasi-VBI model is an efficient and simple tool to predict the vehicle's response with enough accuracy based on engineering approximation.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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References

REFERENCES

1.Yang, Y.B. and Yau, J.D., “Vehicle-Bridge Interaction Element for Dynamic Analysis,” Journal of Structural Engineering, 123, pp. 15121518 (1997).Google Scholar
2.Yang, Y.B., Yau, J.D. and Wu, Y.S., Vehicle-Bridge Interaction Dynamics, World Scientific, Singapore (2004).Google Scholar
3.Fryba, L., Vibration of Solids and Structures Under Moving Loads, 3rd Ed., Thomas Telford, London (1999).Google Scholar
4.Xia, H., Xu, Y.L. and Chan, T.H.T., “Dynamic Interaction of Long Suspension Bridges with Running Trains,” Journal of Sound and Vibration, 237, pp. 263280 (2000).Google Scholar
5.Xia, H. and Zhang, N., “Dynamic Analysis of Railway Bridge Under High-Speed Trains,” Computer & Structures, 83, pp. 18911901 (2005).Google Scholar
6.Lou, P., “A Vehicle-Track-Bridge Interaction Element Considering Vehicle’s Pitching Effect,” Finite Element Analysis and Design, 41, pp. 397427 (2005).Google Scholar
7.Ju, S.H., Lin, H.T., Hsueh, C.C. and Wang, S.L., “A Simple Finite Element Model for Vibration Analyses Induced by Moving Vehicles,” International Journal for Numerical Method and Engineering, 68, pp. 12321256 (2006).Google Scholar
8.Ju, S.H. and Lin, H.T., “A Finite Element Model of Vehicle-Bridge Interaction Considering Braking and Acceleration,” Journal of Sound and Vibration, 303, pp. 4657 (2007).Google Scholar
9.Xia, H., Guo, W.W., Wu, X., Pi, Y.L. and Bradford, M.A., “Lateral Dynamic Interaction Analysis of a Train-Girder-Pier System,” Journal of Sound and Vibration, 318, pp. 927942 (2008).Google Scholar
10.Liu, K., De Roeck, G. and Lombaert, G., “The Effect of Dynamic Train-Bridge Interaction on the Bridge Response During a Train Passage,” Journal of Sound and Vibration, 325, pp. 240251 (2009).Google Scholar
11.Zhan, J.W., Xia, H., Chen, S.Y. and De Roeck, G., “Structural Damage Identification for Railway Bridges Based on Train-Induced Bridge Responses and Sensitivity Analysis,” Journal of Sound and Vibration, 330, pp. 757770 (2011).Google Scholar
12.Yang, Y. and Fonder, G.A., “An Iterative Solution Method for Dynamic Response of Bridge Vehicles Systems,” Earthquake Engineering and Structural Dynamics, 25, pp. 195215 (1996).Google Scholar
13.Ju, S.H. and Lin, H.T., “Numerical Investigation of a Steel Arch Bridge and Interaction with High-Speed Trains,” Engineering Structures, 25, pp. 241250 (2007).Google Scholar
14.Zhang, N., Xia, H. and Guo, W.W., “Vehicle-Bridge Interaction Analysis under High-Speed Trains,” Journal of Sound and Vibration, 309, pp. 407425 (2008).Google Scholar
15.Yau, J.D., “Vehicle/Bridge Interactions of a Rail Suspension Bridge Considering Support Movements,” Interaction and Multi-Scale Mechanics: An International Journal, 2, pp. 263276 (2009).Google Scholar
16.Garg, V.K. and Dukkipati, R.V., Dynamics of Railway Vehicle Systems, Academic Press, New York (1984).Google Scholar
17.Yang, Y.B. and Lin, B.H., “Vehicle-Bridge Interaction Analysis by Dynamic Condensation Method,” Journal of Structural Engineering, 121, pp. 16361643 (1995).Google Scholar
18.Yang, Y.B., Chang, C.H. and Yau, J.D., “An Element for Analysing Vehicle-Bridge Systems Considering Vehicle’s Pitching Effect,” International Journal for Numerical Method and Engineering, 46, pp. 10311047(1999).Google Scholar
19.Yang, Y.B. and Wu, Y.S., “A Versatile Element for Analyzing Vehicle-Bridge Interaction Response,” Engineering Structures, 23, pp. 452469 (2001).Google Scholar
20.European Committee Forstandardization (CEN), EN1991–2. Eurocode 1: Actions on Structures — Part 2: Traffic Loads on Bridges. Brussels, Belgium (2003).Google Scholar
21.Yang, Y.B., Lin, C.W. and Yau, J.D., “Extracting Bridge Frequencies from the Dynamic Response of a Passing Vehicle,” Journal of Sound and Vibration, 272, pp. 471493 (2004).Google Scholar
22.Yang, Y.B., Yau, J.D. and Hsu, L.C., “Vibration of Simple Beams due to Trains Moving at High Speeds,” Engineering Structures, 19, pp. 936994(1997).Google Scholar
23.Ju, S.H. and Lin, H.T., “Resonance Characteristics of High-Speed Trains Passing Simply Supported Bridges,” Journal of Sound and Vibration, 267, pp. 11271141 (2003).Google Scholar
24.Xia, H., Zhang, N. and Guo, W.W., “Analysis of Resonance Mechanism and Conditions of Train-Bridge System,” Journal of Sound and Vibration, 297, pp. 810822 (2006).Google Scholar
25.Mao, L. and Lu, Y., “Critical Speed and Resonance Criteria of Railway Bridge Response to Moving Trains,” Journal of Bridge Engineering, 18, pp. 131141 (2013).CrossRefGoogle Scholar
26.Museros, P., Moliner, E. and Martínez-Rodrigo, M.D., “Free Vibrations of Simply-Supported Beam Bridges Under Moving Loads: Maximum Resonance, Cancellation and Resonant Vertical Acceleration,” Journal of Sound and Vibration, 332, pp. 326345 (2013).Google Scholar
27.Doménech, A., Museros, P. and Martínez-Rodrigo, M.D., “Influence of the Vehicle Model on the Prediction of the Maximum Bending Response of Simply-Supported Bridges Under High-Speed Railway Traffic,” Engineering Structures, 72, pp. 123139 (2014).Google Scholar