Fragility analysis for vehicle derailment on railway bridges under earthquakes

Abstract

With the rapid development of high-speed railways around the globe, the safety of vehicles running on bridges during earthquakes has been paid more attention to. In the design of railway bridges, in addition to ensuring the safety of the bridge structure in earthquake, the vehicle safety should also be ensured. Previous studies have focused on the detailed analysis of vehicle derailment on bridges, proposing complex numerical algorithms for wheel–rail contact analysis as well as for parametric analysis, but they are inconvenient for designers. Intensity measure (IM) used in performance-based earthquake engineering is introduced in this study. A method to evaluate the vehicle safety on bridges under earthquakes is proposed with respect to the optimal IM. Then, the vehicle derailment case of the Kumamoto earthquake in Japan verifies the decoupling method of vehicle–bridge interaction model. In the assessment of vehicle derailments, eight IMs are systematically compared: the IMs of bridge deck motion are generally better than those of ground motion; the variation coefficient of spectral intensity of the bridge deck is the smallest at different frequencies. Finally, the derailment fragility cloud map is presented to evaluate the vehicle safety on bridges during earthquakes.

Keywords

Vehicle–bridge interaction model / Decoupling method / Earthquake / Vehicle derailment / Intensity measure

References

[1.] Zhang Z Lin J Zhang Y . Non-stationary random vibration analysis for train–bridge systems subjected to horizontal earthquakes. Eng Struct, 2010 32 11 3571-3582

[2.] Yang Y Wu Y. Dynamic stability of trains moving over bridges shaken by earthquakes. J Sound Vib, 2002 258 1 65-94

[3.] Xia H Han Y Zhang N Guo WW. Dynamic analysis of train–bridge system subjected to non-uniform seismic excitations. Earthq Eng Struct Dyn, 2006 35 19 1563-1579

[4.] Gong W Zhu Z Liu Y . Running safety assessment of a train traversing a three-tower cable-stayed bridge under spatially varying ground motion. Railw Eng Sci, 2020 28 2 184-198

[5.] Tanabe M Matsumoto N Wakui H Sogabe M Okuda H Tanabe Y. A simple and efficient numerical method for dynamic interaction analysis of a high-speed train and railway structure during an earthquake. J Comput Nonlinear Dyn, 2008 3 4

[6.] Xiao X Ling L Jin X. A study of the derailment mechanism of a high speed train due to an earthquake. Veh Syst Dyn, 2012 50 3 449-470

[7.] Montenegro PA Calcada R Pouca NV . Running safety assessment of trains moving over bridges subjected to moderate earthquakes. Earthq Eng Struct Dynam, 2016 45 3 483-504

[8.] Ju SH. Nonlinear analysis of high-speed trains moving on bridges during earthquakes. Nonlinear Dyn, 2012 69 1 173-183

[9.] Vamvatsikos D Cornell CA. Developing efficient scalar and vector intensity measures for IDA capacity estimation by incorporating elastic spectral shape information. Earthq Eng Struct Dynam, 2005 34 13 1573-1600

[10.] Donaire-Ávila J Mollaioli F Lucchini A . Intensity measures for the seismic response prediction of mid-rise buildings with hysteretic dampers. Eng Struct, 2015 102 278-295

[11.] Kostinakis K Fontara IK Athanatopoulou AM. Scalar structure-specific ground motion intensity measures for assessing the seismic performance of structures: a review. J Earthq Eng, 2018 22 4 630-665

[12.] Hariri-Ardebili MA Saouma VE. Probabilistic seismic demand model and optimal intensity measure for concrete dams. Struct Saf, 2016 59 67-85

[13.] Padgett JE Nielson BG DesRoches R. Selection of optimal intensity measures in probabilistic seismic demand models of highway bridge portfolios. Earthq Eng Struct Dyn, 2008 37 5 711-725

[14.] Tothong P Luco N. Probabilistic seismic demand analysis using advanced ground motion intensity measures. Earthq Eng Struct Dynam, 2007 36 13 1837-1860

[15.] Baker JW Cornell CA. Vector-valued intensity measures incorporating spectral shape for prediction of structural response. J Earthq Eng, 2008 12 4 534-554

[16.] Vamvatsikos D Cornell CA. Incremental dynamic analysis. Earthq Eng Struct Dyn, 2002 31 3 491-514

[17.] Kazantzi AK Vamvatsikos D. Intensity measure selection for vulnerability studies of building classes. Earthq Eng Struct Dynam, 2015 44 15 2677-2694

[18.] Ebrahimian H Jalayer F. Selection of seismic intensity measures for prescribed limit states using alternative nonlinear dynamic analysis methods. Earthq Eng Struct Dyn, 2021 50 5 1235-1250

[19.] Liao WI Loh CH Wan S. Earthquake responses of RC moment frames subjected to near-fault ground motions. Struct Design Tall Build, 2001 10 3 219-229

[20.] Freddi F Padgett JE Dall’Asta A. Probabilistic seismic demand modeling of local level response parameters of an RC frame. Bull Earthq Eng, 2017 15 1 1-23

[21.] Mackie K Stojadinović B. Seismic demands for performance-based design of bridges, 2003 Berkeley Pacific Earthquake Engineering Research Center

[22.] Zhong J Jeon JS Shao YH . Optimal intensity measures in probabilistic seismic demand models of cable-stayed bridges subjected to pulse-like ground motions. J Bridg Eng, 2019 24 2 04018118

[23.] Pappas A Sextos A Da Porto F . Efficiency of alternative intensity measures for the seismic assessment of monolithic free-standing columns. Bull Earthq Eng, 2017 15 4 1635-1659

[24.] Jin Z Liu W Pei S He J. Probabilistic assessment of vehicle derailment based on optimal ground motion intensity measure. Veh Syst Dyn, 2020 59 2 1-22

[25.] Chamorro R Escalona JL Recuero AM. Stability analysis of multibody systems with long flexible bodies using the moving modes method and its application to railroad dynamics. J Comput Nonlinear Dyn, 2014 9 1

[26.] Jin Z Pei S Li X . Effect of vertical ground motion on earthquake-induced derailment of railway vehicles over simply-supported bridges. J Sound Vib, 2016 383 277-294

[27.] Zhai W (2020) Vehicle–track coupled dynamics: theory and applications. Springer Nature, Singapore

[28.] Zhai W Xia H Cai C . High-speed train–track–bridge dynamic interactions–Part I: theoretical model and numerical simulation. Int J Rail Transp, 2013 1 1–2 3-24

[29.] Shen ZY Hedrick JK Elkins JA. A comparison of alternative creep force models for rail vehicle dynamic analysis. Veh Syst Dyn, 1983 12 1–3 79-83

[30.] Zhai WM. Two simple fast integration methods for large-scale dynamic problems in engineering[J]. Int J Numer Meth Eng, 1996 39 24 4199-4214

[31.] Nishimura K Terumichi Y Morimura T . Analytical study on the safety of high speed railway vehicle on excited tracks. J Syst Design Dyn, 2010 4 211-225

[32.] Zhai W Chen G. Method and criteria for evaluation of wheel derailment based on wheel vertical rise. J China Railw Soc, 2001 23 2 17-26(in Chinese)

[33.] RTRI—Seismic design (1999) Design standards for railway structures and commentary (seismic design). Railway Technical Research Institute, Tokyo

[34.] RTRI—Displacement limits (2006) Design standards for railway structures and commentary (displacement limits). Railway Technical Research Institute, Tokyo

[35.] Luo X. Study on methodology for running safety assessment of trains in seismic design of railway structures. Soil Dyn Earthq Eng, 2005 25 2 79-91

[36.] Chopra AK Goel RK. A modal pushover analysis procedure for estimating seismic demands for buildings. Earthq Eng Struct Dynam, 2002 31 3 561-582

[37.] Agency FEM. Quantification of building seismic performance factors: FEMA P695, 2009 Washington DC Federal emergency management agency

[38.] Japan Transport Safety Board (2017). Railway accident investigation report—rain derailment accident between kumamoto station and kumamoto general train depot of the Kyushu Shinkansen of the Kyushu Railway Company.

[39.] Chen Z Han Z Zhai W . TMD design for seismic vibration control of high-pier bridges in Sichuan-Tibet Railway and its influence on running trains. Veh Syst Dyn, 2019 57 2 1-19

[40.] Montenegro PA Carvalho H Ribeiro D . Assessment of train running safety on bridges: a literature review. Eng Struct, 2021 241

[41.] Petrone C Di Sarno L Magliulo G . Numerical modelling and fragility assessment of typical freestanding building contents[J]. Bull Earthq Eng, 2017 15 4 1609-1633

Funding

National Natural Science Foundation of China(51678490); National Science Fund for Distinguished Young Scholars(51525804)