A New Bilinear Resistance Algorithm to Analyze the Track-Bridge Interaction on Long-Span Steel Bridge under Thermal Action
Publication: Journal of Bridge Engineering
Volume 25, Issue 2
Abstract
In this paper, an analytical algorithm, based on the bilinear resistance model, was proposed to analyze the track-bridge interaction on long-span steel bridges under thermal action. Calculation results show that the proposed algorithm is more accurate than previous analytical algorithms and can achieve nearly the same accuracy as the finite-element method (FEM), but is more efficient than FEM. Based on the algorithm, this paper explained why the longitudinal force (LF) in the middle of the bridges doesn't increase as bridge length increases, then proposed a manual LF calculation formula. Researchers and engineers can use this formula to easily estimate the maximum LF on bridges which have rail expansion devices (REDs). A parametric study was performed. The result shows that LF is not a matter of concern on the bridges with REDs. Besides, the relationships between track resistance distribution, track-bridge relative displacement and boundary conditions were revealed, and the difference between LF on bridge and on embankment were discussed. The outcomes of this paper can be applied to long-span centrosymmetric continuous bridge as well as cable-stayed bridges.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
All data, models, and code generated or used during the study appear in the submitted article.
Acknowledgments
This work is supported by the China Railway Corporation (Project No. 2017G006-N), the Fundamental Research Funds for the Central Universities of Central South University (Project No. 2017zzts151), and China Scholarship Council (Fellowship No. 201706370112). And thanks Mr. Guo, Hui for offering the helpful photos.
References
Bouley, J. 1994. “Short history of ‘high-speed’ railway in France before the TGV.” Jpn. Railway Transp. Rev. 3: 49–51.
BSI (British Standards Institution). 2003. Eurocode 1: Actions on structures. Traffic loads on bridges. BS EN 1991-2. London: BSI.
Chen, G., G. Dai, J. Liang, L. Yang, Z. Yue, and W. Liu. 2017. “Numerical study on 1200m-span railway cable-stayed bridges with four different girder sections.” In Vol. 109 of Proc., IABSE Symp. Report, 793–800. Zurich, Switzerland: International Association for Bridge and Structural Engineering.
Dai, G., H. Ge, W. Liu, and Y. F. Chen. 2017. “Interaction analysis of continuous slab track (CST) on long-span continuous high-speed rail bridges.” Struct. Eng. Mech. 63 (6): 713–723. https://doi.org/10.12989/sem.2017.63.6.713.
Dai, G., M. Su, and B. Yan. 2014. “Case study of twin cable-stayed bridges for high-speed railway in China: Design, analysis and construction.” Struct. Eng. Int. 24 (3): 396–401. https://doi.org/10.2749/101686614X13844300210470.
Dai, G. L., and B. Yan. 2012. “Longitudinal forces of continuously welded track on high-speed railway cable-stayed bridge considering impact of adjacent bridges.” J. Central South Univ. 19 (8): 2348–2353. https://doi.org/10.1007/s11771-012-1281-1.
Esveld, C. 2001. Modern railway track. 2nd ed. Delft, Netherlands: Delft Univ. of Technology.
European Commission Directorate General for Mobility. 2010. High-speed Europe: A sustainable link between citizens. Brussels, Belgium: Publications Office of European Union.
Feigenbaum, B. 2013. “High-speed rail in Europe and Asia: Lessons for the United States.” Policy Study 418: 1–39.
Frýba L. 1996. Dynamics of railway bridges, 263–310. London: T. Telford.
Gao, Z. Y., X. Y. Mei, W. Xu, and Y. F. Zhang. 2015. “Overall design of Hutong Changjiang River Bridge.” Bridge Constr. 45 (6): 1–6.
Guang, Z., and H. Gao. 2005. Continuous welded railway. Beijing: China Railway Publishing House.
Guo, H., S. Hu, X. Liu, and P. Su. 2018. “Displacement at girder end of long-span railway steel bridges and performance requirements for bridge expansion joint.” In Proc., 9th Int. Conf. on Advances in Steel Structures, 911–923. Hong Kong: Hong Kong Institute of Steel Construction.
He, X., T. Wu, Y. Zou, Y. F. Chen, H. Guo, and Z. Yu. 2017. “Recent developments of high-speed railway bridges in China.” Struct. Infrastruct. Eng. 13 (12): 1584–1595. https://doi.org/10.1080/15732479.2017.1304429.
Kang, C., S. Schneider, M. Wenner, and S. Marx. 2018. “Development of design and construction of high-speed railway bridges in Germany.” Eng. Struct. 163: 184–196. https://doi.org/10.1016/j.engstruct.2018.02.059.
Lim, N. H., N. H. Park, and Y. J. Kang. 2003. “Stability of continuous welded rail track.” Comput. Struct. 81 (22–23): 2219–2236. https://doi.org/10.1016/S0045-7949(03)00287-6.
Liu, W. S., G. L. Dai, and X. H. He. 2013. “Sensitive factors research for track-bridge interaction of Long-span X-style steel-box arch bridge on high-speed railway.” J. Central South Univ. 20 (11): 3314–3323. https://doi.org/10.1007/s11771-013-1855-6.
Liu, X. G., H. Guo, and X. X. Zhao. 2015. “Parametric analysis of overall design of main ship channel bridge of Hutong Changjiang River Bridge.” Bridge Constr. 45 (6): 63–68.
Long, X. 1987. “Computation of temperature axial forces and displacements with variable track resistance in continuously welded rails (CWR) laid on bridge.” J. Southwest Jiaotong Univ. 4 (4): 20–32.
Lu, Y., and S. Fang. 1987. “Calculation method for the discrete force of CWR on railway bridge.” J. China Railway Sci. 9 (2): 56–67.
Ministry of Railways. 2013. Code for design of railway continuous welded rail. Beijing: China Railway Publishing House.
Pandit, S. A. 2005. Long welded rail. Pune, India: Railways Institute of Civil Engineering.
Rocha, J. M., A. A. Henriques, and R. Calçada. 2014. “Probabilistic safety assessment of a short span high-speed railway bridge.” Eng. Struct. 71 (Jul): 99–111. https://doi.org/10.1016/j.engstruct.2014.04.018.
Ruge, P., and C. Birk. 2007. “Longitudinal forces in continuously welded rails on bridgedecks due to nonlinear track–bridge interaction.” Comput. Struct. 85 (7–8): 458–475. https://doi.org/10.1016/j.compstruc.2006.09.008.
Ruge, P., D. R. Widarda, G. Schmälzlin, and L. Bagayoko. 2009. “Longitudinal track–bridge interaction due to sudden change of coupling interface.” Comput. Struct. 87 (1–2): 47–58. https://doi.org/10.1016/j.compstruc.2008.08.012.
Strauss, A., S. Karimi, M. Šomodíková, D. Lehký, D. Novák, D. M. Frangopol, and K. Bergmeister. 2018. “Monitoring based nonlinear system modeling of bridge–continuous welded rail interaction.” Eng. Struct. 155 (Jan): 25–35. https://doi.org/10.1016/j.engstruct.2017.10.053.
UIC (International Union of Railways). 2001. Track/brige interaction—Recommendations for calculations. Paris: UIC.
UIC (International Union of Railways). 2017. High speed lines in the world (summary).
Van, M. A., and A. J. P. van Dan. 1988. A finite element model for the calculation of axial track forces. Delft, Netherlands: TU-Delft.
Wei, B., T. Yang, L. Jiang, and X. He. 2018. “Effects of uncertain characteristic periods of ground motions on seismic vulnerabilities of a continuous track–bridge system of high-speed railway.” Bull. Earthquake Eng. 16 (9): 3739–3769. https://doi.org/10.1007/s10518-018-0326-8.
Xu, W., Q. G. Zhang, and Z. H. Peng. 2015. “Structural design of main girder of main ship channel bridge of Hutong Changjiang River Bridge.” Bridge Constr. 45 (6): 47–52.
Yan, B., G. L. Dai, and N. Hu. 2015. “Recent development of design and construction of short span high-speed railway bridges in China.” Eng. Struct. 100 (Oct): 707–717. https://doi.org/10.1016/j.engstruct.2015.06.050.
Yang, S. C., and S. Y. Jang. 2016. “Track–bridge interaction analysis using interface elements adaptive to various loading cases.” J. Bridge Eng. 21 (9): 04016056. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000916.
Yu, Z. W., and J. F. Mao. 2017. “Probability analysis of train-track-bridge interactions using a random wheel/rail contact model.” Eng. Struct. 144 (Aug): 120–138. https://doi.org/10.1016/j.engstruct.2017.04.038.
Zhang, J., D. J. Wu, and Q. Li. 2015. “Loading-history-based track–bridge interaction analysis with experimental fastener resistance.” Eng. Struct. 83 (Jan): 62–73. https://doi.org/10.1016/j.engstruct.2014.11.002.
Information & Authors
Information
Published In
Journal of Bridge Engineering
Volume 25 • Issue 2 • February 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Jan 22, 2019
Accepted: Jul 23, 2019
Published online: Nov 20, 2019
Published in print: Feb 1, 2020
Discussion open until: Apr 20, 2020
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.