Technical Papers
Nov 4, 2015

Fatigue Reliability Assessment of Railway Bridges Based on Probabilistic Dynamic Analysis of a Coupled Train-Bridge System

Publication: Journal of Structural Engineering
Volume 142, Issue 3

Abstract

This paper presents an approach to fatigue reliability assessment of railway bridges based on probabilistic dynamic analysis of a coupled train-bridge system. The fatigue loading from moving trains is investigated through a novel approach in which three-dimensional (3D) numerical models of both the train and the bridge are integrated with a wheel-rail interaction model to perform coupled dynamic analysis. The results of this analysis are used to estimate the long-term fatigue loading and the time-variant fatigue reliability of bridge details. Train speed and track irregularities are selected as random variables in the coupled train-bridge system model. Probabilistic dynamic stress analysis is conducted for each train passage to obtain samples of the stress range and its cycle count. This information is used to identify the probability distributions of the stress range. Fatigue reliability is evaluated by solving a fatigue limit-state function established through the S-N approach. Effects of train speed and track irregularities on the fatigue loading and fatigue reliability are analyzed and discussed. Additionally, the proposed approach is illustrated on an existing steel railway bridge.

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Acknowledgments

This study was performed when the first author worked as a Visiting Research Associate at Lehigh University (September 2013–September 2014) in the research group of the second author. The reported research was sponsored by the National Basic Research Program (“973” Program) (Grant 2013CB036203), the “111” Project (Grant B13002), and the National Natural Science Foundation (Grant U1434205) of China.

References

AASHTO. (2008). “AASHTO LRFD bridge design specifications.” Washington, DC.
ANSYS [Computer software], ANSYS Inc. Global Headquarters, Canonsburg, PA.
AREA (American Railway Engineering Association) (1983). “Manual for railway engineering.” Washington, DC.
Au, F. T. K., Wang, J. J., and Cheung, Y. K. (2002). “Impact study of cable-stayed railway bridges with random rail irregularities.” Eng. Struct., 24(5), 529–541.
Basso, P., Casciati, S., and Faravelli, L. (2014). “Fatigue reliability assessment of a historic railway bridge designed by Gustave Eiffel.” Struct. Infrastruct. Eng., 11(1), 27–37.
BSI (British Standards Institution). (1980). “Steel, concrete and composite bridges. 10: Code of practice for fatigue.” BS 5400, London.
BSI (British Standards Institution). (2006). “Steel, concrete and composite bridges. 2: Specification for loads.” BS 5400, London.
Chan, T. H. T., Guo, L., and Li, Z. X. (2003). “Finite element modelling for fatigue stress analysis of large suspension bridges.” J. Sound Vibr., 261(3), 443–464.
Chen, Z. W., Xu, Y. L., Li, Q., and Wu, D. J. (2011). “Dynamic stress analysis of long suspension bridges under wind, railway, and highway loadings.” J. Bridge Eng., 383–391.
Chen, Z. W., Xu, Y. L., and Wang, X. M. (2012). “SHMS-based fatigue reliability analysis of multiloading suspension bridges.” J. Struct. Eng., 299–307.
Chu, K. H., Dhar, C. L., and Garg, V. K. (1979). “Railway-bridge impact: Simplified train and bridge model.” J. Struct. Eng., 105(9), 1823–1844.
Connor, R. J., Fisher, J. W., Hodgson, I. C., and Bowman, C. A. (2004). “Results of field monitoring prototype floorbeam connection retrofit details on the Birmingham Bridge.”, Lehigh Univ., Center for Advanced Technology for Large Structural Systems (ATLSS), Bethlehem, PA.
Connor, R. J., Hodgson, I. C., Mahmoud, H. N., and Bowman, C. A. (2005). “Field testing and fatigue evaluation of the I-79 Neville Island Bridge over the Ohio River.”, Lehigh Univ., Center for Advanced Technology for Large Structural Systems (ATLSS), Bethlehem, PA.
Downing, S. D., and Socie, D. F. (1982). “Simple rainflow counting algorithms.” Int. J. Fatigue, 4(1), 31–40.
Dukkipati, R. V., and Amyot, J. R. (1988). Computer-aided simulation in railway dynamics, Marcel Dekker, New York.
European Committee for Standardization. (2003). “Actions on structures. 2: Traffic loads on bridges.” EN 1991-2, Brussels, Belgium.
European Committee for Standardization. (2005). “Design of steel structures. 1-9: Fatigue.” EN 1993-1-9, Brussels, Belgium.
Fisher, J. W., Frank, K. H., Hirt, M. A., and McNamee, B. M. (1970). “Effect of weldments on the fatigue strength of steel beams.”, National Cooperative Highway Research Program (NCHRP), Transportation Research Board, National Research Council, Washington, DC.
Fisher, J. W., Nussbaumer, A., Keating, P. B., and Yen, B. T. (1993). “Resistance of welded details under variable amplitude long-life fatigue loading.”, National Cooperative Highway Research Program (NCHRP), Transportation Research Board, National Research Council, Washington, DC.
Frangopol, D. M. (1999). “Life-cycle cost analysis for bridges.” Chapter 9, Bridge safety and reliability, D. M. Frangopol, ed., ASCE, Reston, VA, 210–236.
Frangopol, D. M. (2011). “Life-cycle performance, management, and optimization of structural systems under uncertainty: Accomplishments and challenges.” Struct. Infrastruct. Eng., 7(6), 389–413.
Frangopol, D. M., and Das, P. C. (1999). “Management of bridge stocks based on future reliability and maintenance costs.” Current and future trends in bridge design, construction, and maintenance, P. C. Das, D. M. Frangopol, and A. S. Nowak, eds., Institution of Civil Engineers, Thomas Telford, London, 45–58.
Frýba, L. (1999). Vibration of solids and structures under moving loads, Thomas Telford, London.
Garg, V. K., and Dukkipati, R. V. (1984). Dynamics of railway vehicle systems, Academic Press, San Diego.
Hedrick, J. K., Wormley, D. N., Horak, D., Bell, C., and Gilan, A. (1981). “Performance limits of rail passenger vehicles: Stability/curving trade-offs and model validation.”, Massachusetts Institute of Technology and DOT, Washington, DC.
Hou, Y. F., Yang, Z. M., and Zhang, N. (2012). “Report on the routine inspection of the Baihe Bridge in Jing-Tong Railway Line.”, Beijing Railway Bureau, Beijing (in Chinese).
Imam, B. M., and Righiniotis, T. D. (2010). “Fatigue evaluation of riveted railway bridges through global and local analysis.” J. Constr. Steel Res., 66(11), 1411–1421.
Imam, B. M., Righiniotis, T. D., and Chryssanthopoulos, M. K. (2008). “Probabilistic fatigue evaluation of riveted railway bridges.” J. Bridge Eng., 237–244.
Imam, B. M., Righiniotis, T. D., Chryssanthopoulos, M. K., and Bell, B. (2006). “Analytical fatigue assessment of riveted rail bridges.” Proc., ICE-Bridge Engineering, Institute of Civil Engineers, London, 105–116.
Kwon, K., and Frangopol, D. M. (2010). “Bridge fatigue reliability assessment using probability density functions of equivalent stress range based on field monitoring data.” Int. J. Fatigue, 32(8), 1221–1232.
Kwon, K., Frangopol, D. M., and Soliman, M. (2012). “Probabilistic fatigue life estimation of steel bridges by using a bilinear S-N approach.” J. Bridge Eng., 58–70.
Li, H. L., Xia, H., Soliman, M., and Frangopol, D. M. (2015). “Bridge stress calculation based on the dynamic response of coupled train-bridge system.” Eng. Struct., 99, 334–345.
Li, J., and Zhang, C. C. (2010). “Speed-up technologies of China’s existing railways.” Proc., 2010 Joint Rail Conf., ASME, New York, 487–492.
Lippi, F. V., Orland, M., and Salvatore, W. (2013). “Assessment of the dynamic and fatigue behavior of the Panaro railway steel bridge.” Struct. Infrastruct. Eng., 9(8), 834–848.
MATLAB [Computer software]. MathWorks, Natick, MA.
Miner, M. A. (1945). “Cumulative damage in fatigue.” J. Appl. Mech., 12(3), A159–A164.
Newmark, N. M. (1959). “A method of computation for structural dynamics.” J. Eng. Mech. Div., 85(3), 67–94.
Nowack, H., and Schulz, U. (1996). “Significance of finite element methods (FEM) in fatigue analysis.” Fatigue 96: Proc., 6th Int. Fatigue Conf., Pergamon, Oxford, 1057–1068.
Shen, Z. Y., Hedrick, J. K., and Elkins, J. A. (1983). “A comparison of alternative creep force models for rail vehicle dynamic analysis.” Proc., 8th IAVSD Symp., Swets & Zeitlinger, the Netherlands, 591–605.
Shinozuka, M., and Deodatis, G. (1991). “Simulation of stochastic processes by spectral representation.” Appl. Mech. Rev., 44(4), 191–204.
Soliman, M., and Frangopol, D. M. (2014). “Life-cycle management of fatigue sensitive structures integrating inspection information.” J. Infrastruct. Syst., 20(2), 04014001.
Wirsching, P. H. (1984). “Fatigue reliability for offshore structures.” J. Struct. Eng., 2340–2356.
Xia, H., De Roeck, G., and Goicolea, J. M. (2012). Bridge vibration and controls: New research, Nova Science, New York.
Xia, H., De Roeck, G., Zhang, H. R., and Zhang, N. (2001). “Dynamic analysis of train-bridge system and its application in steel girder reinforcement.” Comput. Struct., 79(20–21), 1851–1860.
Xia, H., Li, H. L., Guo, W. W., and De Roeck, G. (2014). “Vibration resonance and cancellation of simply supported bridges under moving train loads.” J. Eng. Mech., 04014015.
Yang, Y. B., and Yau, J. D. (1997). “Vehicle-bridge interaction element for dynamic analysis.” J. Struct. Eng., 1512–1518.
Zhang, N., Xia, H., Guo, W. W., and De Roeck, G. (2010). “A vehicle-bridge linear interaction model and its validation.” Int. J. Struct. Stab. Dyn., 10(2), 335–361.
Zhang, W., and Cai, C. S. (2012). “Fatigue reliability assessment for existing bridges considering vehicle speed and road surface conditions.” J. Bridge Eng., 443–453.
Zhang, Y., Xin, X., and Cui, X. (2012). “Updating fatigue damage coefficient in railway bridge design code in China.” J. Bridge Eng., 788–793.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 142Issue 3March 2016

History

Received: Feb 2, 2015
Accepted: Sep 4, 2015
Published online: Nov 4, 2015
Published in print: Mar 1, 2016
Discussion open until: Apr 4, 2016

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Ph.D. Candidate, School of Civil Engineering, Beijing Jiaotong Univ., Beijing 100044, China; formerly, Visiting Predoctoral Research Associate, Dept. of Civil and Environmental Engineering, ATLSS Engineering Research Center, Lehigh Univ., 117 ATLSS Dr., Bethlehem, PA 18015-4729. E-mail: [email protected]
Dan M. Frangopol, Dist.M.ASCE [email protected]
Professor and the Fazlur R. Khan Endowed Chair of Structural Engineering and Architecture, Dept. of Civil and Environmental Engineering, ATLSS Engineering Research Center, Lehigh Univ., 117 ATLSS Dr., Bethlehem, PA 18015-4729 (corresponding author). E-mail: [email protected]
Mohamed Soliman, A.M.ASCE [email protected]
Assistant Professor, School of Civil and Environmental Engineering, College of Engineering, Architecture and Technology, Oklahoma State Univ., 207 Engineering South, Stillwater, OK 74078-5033. E-mail: [email protected]
Professor, School of Civil Engineering, Beijing Key Laboratory of Structural Wind Engineering and Urban Wind Environment, Beijing Jiaotong Univ., Beijing 100044, China. E-mail: [email protected]

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