Structural Engineering and Mechanics

  • 제54권5호
  • /
  • Pages.1017-1044
  • /
  • 2015
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

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

  • Zeng, Zhi-Ping (School of Civil Engineering, Railway Campus, Central South University) ;
  • He, Xian-Feng (School of Civil Engineering, Railway Campus, Central South University) ;
  • Zhao, Yan-Gang (School of Civil Engineering, Railway Campus, Central South University) ;
  • Yu, Zhi-Wu (School of Civil Engineering, Railway Campus, Central South University) ;
  • Chen, Ling-Kun (National Engineering Laboratory for High-Speed Railway Construction, Central South University) ;
  • Xu, Wen-Tao (National Engineering Laboratory for High-Speed Railway Construction, Central South University) ;
  • Lou, Ping (School of Civil Engineering, Railway Campus, Central South University)
  • 투고 : 2014.03.08
  • 심사 : 2015.05.11
  • 발행 : 2015.06.10
⟨ 이전 논문 다음 논문 ⟩

초록

This study aimed to investigate the random vibration characteristic of train-slab track-bridge interaction system subjected to both track irregularities and earthquakes by use of pseudo-excitation method (PEM). Each vehicle subsystem was modeled by multibody dynamics. A three-dimensional rail-slab- girder-pier finite element model was created to simulate slab track and bridge subsystem. The equations of motion for the entire system were established based on the constraint condition of no jump between wheel and rail. The random load vectors of equations of motion were formulated by transforming track irregularities and seismic accelerations into a series of deterministic pseudo-excitations according to their respective power spectral density (PSD) functions by means of PEM. The time-dependent PSDs of random vibration responses of the system were obtained by step-by-step integration method, and the corresponding extreme values were estimated based on the first-passage failure criterion. As a case study, an ICE3 high-speed train passing a fifteen-span simply supported girder bridge simultaneously excited by track irregularities and earthquakes is presented. The evaluated extreme values and the PSD characteristic of the random vibration responses of bridge and train are analyzed, and the influences of train speed and track irregularities (without earthquakes) on the random vibration characteristic of bridge and train are discussed.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

  1. Antolin, P., Zhang, N., M. Goicolea, J., Xia, H., A. Astiz, M. and Oliva, J. (2013), "Consideration of nonlinear wheel-rail contact forces for dynamic vehicle-bridge interaction in high-speed railways", J. Sound Vib., 332(5),1231-1251. https://doi.org/10.1016/j.jsv.2012.10.022
  2. Chen, G. and Zhai, W.M. (1999), "Numerical simulation of the stochastic process of railway track irregularities", J. Southwest Jiaotong Univ., 34(2), 138-142.
  3. Clough, R.W. and Penzien, J. (1993), Dynamics of structures, McGraw-Hill, New York, USA.
  4. Du, X.T., Xu, Y.L. and Xia, H. (2012), "Dynamic interaction of bridge-train system under non-uniform seismic ground motion", Earthq. Engng. Struct. Dyn., 41(1) 139-157.
  5. Fryba, L. and Yau, J.D. (2009), "Suspended bridges subjected to moving loads and support motions due to earthquake", J. Sound Vib., 319(1-2), 218-227. https://doi.org/10.1016/j.jsv.2008.05.012
  6. Gao, L., Yin, K.M. and Zhang, G.Y. (2006), "Study on dynamics characteristics of concrete floating slab track in urban track", Key Eng. Mat., 302-303, 700-705. https://doi.org/10.4028/www.scientific.net/KEM.302-303.700
  7. Ju, S.H. (2013), "Improvement of bridge structures to increase the safety of moving trains during earthquakes", Eng. Struct., 56(11), 501-508. https://doi.org/10.1016/j.engstruct.2013.05.035
  8. Ju, S.H. and Li, H.C. (2011), "Dynamic interaction analysis of trains moving on embankments during earthquakes", J. Sound Vib., 330(22), 5322-5332. https://doi.org/10.1016/j.jsv.2011.05.032
  9. Kalker, J.J. (1967), On the rolling contact of two elastic bodies in the response of dry friction, Delft University of Technology, The Netherlands.
  10. Li, D.Q., Bilow, D. and Sussmann, T. (2010), "Slab track for shared freight and high speed passenger service", Joint Rail Conference, Proceedings of the 2010 Joint Rail Conference, Urbana-Champaign, USA, April.
  11. Liu, F.S., Zeng, Z.P., Wu, B., Zhang, Z.C. and Peng K. (2014), "Study of the effect of cement asphalt mortar disease on mechanical properties of CRTS II slab ballastless track", Adv. Mater. Res., 906, 305-310. https://doi.org/10.4028/www.scientific.net/AMR.906.305
  12. Lin, J.H., Zhang, W.S. and Williams, F.W. (1994), "Pseudo-excitation algorithm for non-stationary random seismic responses", Eng. Struct., 16(4), 270-276. https://doi.org/10.1016/0141-0296(94)90067-1
  13. Lou, P. and Zeng, Q.Y. (2005), "Formulation of equations of motion of finite element form for vehicle-track-bridge interaction system with two types of vehicle model", Int. J. Numer. Meth. Eng., 62(3), 435-474. https://doi.org/10.1002/nme.1207
  14. Lu, F., Gao, Q., Lin, J.H. and Williams, F.W. (2006), "Non-stationary random ground vibration due to loads moving along a railway track", J. Sound Vib., 298(1-2), 30-42. https://doi.org/10.1016/j.jsv.2006.04.041
  15. Lu, F., Lin, J.H., Kennedy, D. and Williams, F.W. (2009), "An algorithm to study non-stationary random vibrations of vehicle-bridge systems", Comput. Struct., 87(3-4), 177-185. https://doi.org/10.1016/j.compstruc.2008.10.004
  16. Majka, M. and Hartnett, M. (2009), "Dynamic response of bridges to moving trains: A study on effects of random track irregularities and bridge skewness", Comput. Struct., 87(19-20), 1233-1252. https://doi.org/10.1016/j.compstruc.2008.12.004
  17. Miyamoto, T., Ishida, H. and Matsuo, M. (1997), "Running safety of railway vehicle as earthquake occurs", Q. Rep. RTRI, 38(3), 117-122.
  18. Nigam, N.C. (1983), Introduction to Random Vibration, MIT Press, Cambridge, MA, USA.
  19. Sogabe, M., Ikeda, M. and Yanagisawa, Y. (2007), "Train-running quality during earthquakes and its improvement for railway long span bridge", Q. Rep. RTRI, 48(3), 186-189.
  20. Wu, Y.S. and Yang, Y.B. (2003), "Steady-state response and riding comfort of trains moving over a series of simply supported bridges", Eng. Struct., 25(2), 251-265. https://doi.org/10.1016/S0141-0296(02)00147-5
  21. Xia, H., Han, Y., Zhang N. and Guo, W.W. (2006), "Dynamic analysis of train-bridge system subjected to non-uniform seismic excitations", Earthq. Eng. Struct. Dyn., 35(12),1563-1579. https://doi.org/10.1002/eqe.594
  22. Xia, H. and Zhang, N. (2005), "Dynamic analysis of railway bridge under high-speed trains", Comput. Struct., 83(23-24), 1891-1901. https://doi.org/10.1016/j.compstruc.2005.02.014
  23. Yang, Y.B. and Wu, Y.S. (2002), "Dynamic stability of trains moving over bridges shaken by earthquake", J. Sound Vib., 258(1), 65-94. https://doi.org/10.1006/jsvi.2002.5089
  24. Yang, Y.B., Yau, J.D. and Wu, Y.S. (2004), Vehicle-bridge Interaction Dynamics: with Applications to High-speed Railways, World Scientific, Singapore.
  25. Yau, J.D. (2009), "Response of a train moving on multi-span railway bridges undergoing ground settlement", Eng. Struct., 31(15), 2115-2122. https://doi.org/10.1016/j.engstruct.2009.03.019
  26. Zhai, W.M. and Cai, C.B. (2002), "Train/track/bridge dynamic interaction: simulation and applications", Vehicle Syst. Dyn., 37(1), 653-665. https://doi.org/10.1080/00423114.2002.11666270
  27. Zhang, N., Xia, H., Guo, W.W., Zlian, J.W., Yao, J.B. and Gao, Y.M. (2010b), "Vehicle-bridge interaction analysis of heavy load railway", Procedia Eng., 4, 347-354. https://doi.org/10.1016/j.proeng.2010.08.040
  28. Zhang, Z.C., Lin, J.H., Zliang, Y.H., Zliao, Y., Howson, W.P. and Williams, F.W. (2010a), "Non-stationary random vibration analysis for train-bridge systems subjected to liorizontal eartliquakes", Eng. Struct., 32(11), 3571-3582. https://doi.org/10.1016/j.engstruct.2010.08.001

피인용 문헌

  1. Non-stationary random vibration analysis of a 3D train–bridge system using the probability density evolution method vol.366, 2016, https://doi.org/10.1016/j.jsv.2015.12.002
  2. Random Seismic Response and Dynamic Fuzzy Reliability Analysis of Bedding Rock Slopes Based on Pseudoexcitation Method vol.18, pp.3, 2018, https://doi.org/10.1061/(ASCE)GM.1943-5622.0001084
  3. Extended applications of track irregularity probabilistic model and vehicle–slab track coupled model on dynamics of railway systems vol.55, pp.11, 2017, https://doi.org/10.1080/00423114.2017.1319961
  4. Random dynamic analysis of a train-bridge coupled system involving random system parameters based on probability density evolution method vol.46, 2016, https://doi.org/10.1016/j.probengmech.2016.08.003
  5. On effects of rail fastener failure on vehicle/track interactions vol.63, pp.5, 2015, https://doi.org/10.12989/sem.2017.63.5.659
  6. Interaction analysis of Continuous Slab Track (CST) on long-span continuous high-speed rail bridges vol.63, pp.6, 2017, https://doi.org/10.12989/sem.2017.63.6.713
  7. A mechanical model of vehicle-slab track coupled system with differential subgrade settlement vol.66, pp.1, 2015, https://doi.org/10.12989/sem.2018.66.1.015
  8. Train-track-bridge dynamic interaction: a state-of-the-art review vol.57, pp.7, 2015, https://doi.org/10.1080/00423114.2019.1605085
  9. Nonlinear seismic assessment of isolated high-speed railway bridge subjected to near-fault earthquake scenarios vol.15, pp.11, 2015, https://doi.org/10.1080/15732479.2019.1639775
  10. Stochastic Analysis of Train-Bridge System Using the Karhunen-Loéve Expansion and the Point Estimate Method vol.20, pp.2, 2015, https://doi.org/10.1142/s021945542050025x
  11. Application of KLE-PEM for Random Dynamic Analysis of Nonlinear Train-Track-Bridge System vol.2020, pp.None, 2015, https://doi.org/10.1155/2020/8886737
  12. Vehicle-track interaction with consideration of rail irregularities at three-dimensional space vol.26, pp.15, 2020, https://doi.org/10.1177/1077546319894816
  13. Dynamic responses of a high-speed train passing a deformed bridge using a vehicle-track-bridge coupled model vol.235, pp.4, 2015, https://doi.org/10.1177/0954409720944337
  14. A comprehensively overall track-bridge interaction study on multi-span simply supported beam bridges with longitudinal continuous ballastless slab track vol.78, pp.2, 2015, https://doi.org/10.12989/sem.2021.78.2.163
  15. Effects of shear keys and track system on the behavior of simply-supported bridges for high-speed trains subjected to transverse earthquake excitations vol.24, pp.12, 2015, https://doi.org/10.1177/13694332211007398