Abstract
In addressing the challenges of analyzing seismic response data for high-speed railroads, this research introduces a hybrid prediction model combining convolutional neural networks (CNN) and long short-term memory networks (LSTM). The model's novelty lies in its ability to significantly improve the precision of fiber grating monitoring for high-speed railroads. Employing quasi-distributed fiber optic gratings, seven grating monitoring points were strategically placed on each fiber to capture responses of the track plate, rail, base plate, and beam during seismic activities. Using data from peripheral gratings, the model predicts the central point's response. A continuous feature map, formed via a time-sliding window from the rail's acquisition location, undergoes initial feature extraction with CNN. These features are then sequenced for the LSTM network, culminating in prediction. Empirical results validate the model's efficacy, with an RMSE of 0.3753, MAE of 0.2968, and a R2 of 0.9371, underscoring its potential in earthquake response analysis for rail infrastructures.
Similar content being viewed by others
Data availability
The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.
References
Feng Y, Jiang L, Zhou W, Han J, Zhang Y, Nie L, Tan Z, Liu X (2020) Experimental investigation on shear steel bars in CRTS II slab ballastless track under low-cyclic reciprocating load. Constr Build Mater. https://doi.org/10.1016/j.conbuildmat.2020.119425
Xiang P, Ma H, Zhao H, Jiang L, Xu S, Liu X (2023) Safety analysis of train-track-bridge coupled braking system under earthquake. Structures 53:1519–1529. https://doi.org/10.1016/j.istruc.2023.04.086
Feng YL, Jiang LZ, Zhou WB, Lai ZP, Chai XL (2019) An analytical solution to the mapping relationship between bridge structures vertical deformation and rail deformation of high-speed railway. Steel Compos Struct 33(2):209–224. https://doi.org/10.12989/scs.2019.33.2.209
Zhao H, Wei B, Shao Z, Xie X, Jiang L, Xiang P (2023) Assessment of train running safety on railway bridges based on velocity-related indices under random near-fault ground motions. Structures 57:105244. https://doi.org/10.1016/j.istruc.2023.105244
Zhao H, Wei B, Guo P, Tan J, Xiang P, Jiang L, Fu W, Liu X (2023) Random analysis of train-bridge coupled system under non-uniform ground motion. Adv Struct Eng. https://doi.org/10.1177/13694332231175230
Zhao H, Wei B, Jiang L, Xiang P, Zhang X, Ma H, Xu S, Wang L, Wu H, Xie X (2023) A velocity-related running safety assessment index in seismic design for railway bridge. Mech Syst Signal Process 198:110305. https://doi.org/10.1016/j.ymssp.2023.110305
Zhao H, Wei B, Jiang L, Xiang P (2022) Seismic running safety assessment for stochastic vibration of train–bridge coupled system. Arch Civ Mech Eng 22(4):180. https://doi.org/10.1007/s43452-022-00451-3
Zeng Y, Jiang L, Zhang Z, Zhao H, Hu H, Zhang P, Tang F, Xiang P (2023) Influence of variable height of piers on the dynamic characteristics of high-speed train-track-bridge coupled systems in mountainous areas. Appl Sci Basel 13(18):10271. https://doi.org/10.3390/app131810271
Jiang L, Zhang Y, Feng Y, Zhou W, Tan Z (2020) Simplified calculation modeling method of multi-span bridges on high-speed railways under earthquake condition. Bull Earthq Eng 18(5):2303–2328. https://doi.org/10.1007/s10518-019-00779-x
Liu X, Jiang L-z, Liu X, Lai Z, Feng Y, Cao S-s (2021) Dynamic response limit of high-speed railway bridge under earthquake considering running safety performance of train. J Cent South Univ 28:968–980. https://doi.org/10.1007/s11771-021-4657-2
Yu J, Jiang LZ, Zhou WB, Liu X, Nie LX, Zhang YT, Feng YL, Cao SS (2021) Running test on high-speed railway track-simply supported girder bridge systems under seismic action. Bull Earthq Eng 19(9):3779–3802. https://doi.org/10.1007/s10518-021-01125-w
Shao Z, Li X, Xiang P (2023) A new computational scheme for structural static stochastic analysis based on Karhunen–Loève expansion and modified perturbation stochastic finite element method. Comput Mech. https://doi.org/10.1007/s00466-022-02259-7
Yan B, Liu S, Pu H, Dai GL, Cai XP (2017) Elastic-plastic seismic response of CRTS II slab ballastless track system on high-speed railway bridges. Sci China Technol Sci 60(6):865–871. https://doi.org/10.1007/s11431-016-0222-6
Montenegro PA, Calcada R, Pouca NV, Tanabe M (2016) Running safety assessment of trains moving over bridges subjected to moderate earthquakes. Earthq Eng Struct Dyn 45(3):483–504. https://doi.org/10.1002/eqe.2673
Su J, Wu D, Wang X (2023) Influence of ground motion duration on seismic behavior of RC bridge piers: the role of low-cycle fatigue damage of reinforcing bars. Eng Struct 279:115587. https://doi.org/10.1016/j.engstruct.2023.115587
Li HY, Yu ZW, Mao JF, Jiang LZ (2020) Nonlinear random seismic analysis of 3D high-speed railway track-bridge system based on OpenSEES. Structures 24:87–98. https://doi.org/10.1016/j.istruc.2020.01.003
Gao C-h, Yuan X-b (2019) Development of the shaking table and array system technology in China. Adv Civ Eng. https://doi.org/10.1155/2019/8167684
Jiang LZ, Feng YL, Zhou WB, He BB (2019) Vibration characteristic analysis of high-speed railway simply supported beam bridge-track structure system. Steel Compos Struct 31(6):591–600. https://doi.org/10.12989/scs.2019.31.6.591
Wang XW, Ye AJ, Shang Y, Zhou LX (2019) Shake-table investigation of scoured RC pile-group-supported bridges in liquefiable and nonliquefiable soils. Earthq Eng Struct Dyn 48(11):1217–1237. https://doi.org/10.1002/eqe.3186
Yang MG, Meng DL, Gao Q, Zhu YP, Hu ST (2019) Experimental study on transverse pounding reduction of a high-speed railway simply-supported girder bridge using rubber bumpers subjected to earthquake excitations. Eng Struct. https://doi.org/10.1016/j.engstruct.2019.109290
Zhang X, Li W, Tang S, Cui H, Xie X, Han W, Liu X, Yang D, Wang H, Ping X (2023) Investigations on the shearing performance of ballastless CRTS II slab based on quasi-distributed optical fiber sensing. Opt Fiber Technol. https://doi.org/10.1016/j.yofte.2022.103129
Chan YWS, Wang HP, Xiang P (2021) Optical fiber sensors for monitoring railway infrastructures: a review towards smart concept. Symmetry Basel 13(12):2251. https://doi.org/10.3390/sym13122251
Wang HP, Jiang LZ, Xiang P (2018) Improving the durability of the optical fiber sensor based on strain transfer analysis. Opt Fiber Technol 42:97–104. https://doi.org/10.1016/j.yofte.2018.02.004
Wang HP, Xiang P, Jiang LZ (2018) Optical fiber sensor based in-field structural performance monitoring of multilayered asphalt pavement. J Lightw Technol 36(17):3624–3632. https://doi.org/10.1109/jlt.2018.2838122
Wang H-P, Xiang P, Jiang L-Z (2020) Optical fiber sensing technology for full-scale condition monitoring of pavement layers. Road Mater Pavement Des 21(5):1258–1273. https://doi.org/10.1080/14680629.2018.1547656
Zhang CW, Alam ZS, Sun L, Su ZX, Samali B (2019) Fibre Bragg grating sensor-based damage response monitoring of an asymmetric reinforced concrete shear wall structure subjected to progressive seismic loads. Struct Contr Health Monit. https://doi.org/10.1002/stc.2307
Zhang R, Chen Z, Chen S, Zheng J, Buyukozturk O, Sun H (2019) Deep long short-term memory networks for nonlinear structural seismic response prediction. Comput Struct 220:55–68. https://doi.org/10.1016/j.compstruc.2019.05.006
Lu HX, Gao ZC, Wu BT, Zhou ZW (2019) Dynamic and quasi-static signal separation method for bridges under moving loads based on long-gauge FBG strain monitoring. J Low Freq Noise Vib Act Contr 38(2):388–402. https://doi.org/10.1177/1461348418822375
Zhao HW, Ding YL, Nagarajaiah S, Li AQ (2019) Behavior analysis and early warning of girder deflections of a steel-truss arch railway bridge under the effects of temperature and trains: case study. J Bridge Eng. https://doi.org/10.1061/(asce)be.1943-5592.0001327
Zhang X, Zheng Z, Wang L, Cui H, Xie X, Wu H, Liu X, Gao B, Wang H, Xiang P (2024) A quasi-distributed optic fiber sensing approach for interlayer performance analysis of ballastless track-type II plate. Opt Laser Technol 170:110237. https://doi.org/10.1016/j.optlastec.2023.110237
Wang H-P, Feng S-Y, Gong X-S, Guo Y-X, Xiang P, Fang Y, Li Q-M (2021) Dynamic performance detection of CFRP composite pipes based on quasi-distributed optical fiber sensing techniques. Front Mater. https://doi.org/10.3389/fmats.2021.683374
Wang XW, Li ZQ, Shafieezadeh A (2021) Seismic response prediction and variable importance analysis of extended pile-shaft-supported bridges against lateral spreading: exploring optimized machine learning models. Eng Struct. https://doi.org/10.1016/j.engstruct.2021.112142
Ferrario E, Pedroni N, Zio E, Lopez-Caballero F (2017) Bootstrapped artificial neural networks for the seismic analysis of structural systems. Struct Saf 67:70–84. https://doi.org/10.1016/j.strusafe.2017.03.003
Oh BK, Park Y, Park HS (2020) Seismic response prediction method for building structures using convolutional neural network. Struct Contr Health Monit. https://doi.org/10.1002/stc.2519
Zhang R, Liu Y, Sun H (2020) Physics-guided convolutional neural network (PhyCNN) for data-driven seismic response modeling. Eng Struct 215:110704. https://doi.org/10.1016/j.engstruct.2020.110704
Mangalathu S, Heo G, Jeon J-S (2018) Artificial neural network based multi-dimensional fragility development of skewed concrete bridge classes. Eng Struct 162:166–176. https://doi.org/10.1016/j.engstruct.2018.01.053
Mangalathu S, Jeon J-S (2020) Ground motion-dependent rapid damage assessment of structures based on wavelet transform and image analysis techniques. J Struct Eng 146(11):04020230. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002793
Mangalathu S, Jeon J-S (2019) Machine learning-based failure mode recognition of circular reinforced concrete bridge columns: comparative study. J Struct Eng 145(10):04019104. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002402
Arslan MH (2010) An evaluation of effective design parameters on earthquake performance of RC buildings using neural networks. Eng Struct 32(7):1888–1898. https://doi.org/10.1016/j.engstruct.2010.03.010
Mangalathu S, Burton HV (2019) Deep learning-based classification of earthquake-impacted buildings using textual damage descriptions. Int J Disaster Risk Reduct 36:101111. https://doi.org/10.1016/j.ijdrr.2019.101111
Chen S, Billings SA (1992) Neural networks for nonlinear dynamic system modelling and identification. Int J Control 56(2):319–346. https://doi.org/10.1080/00207179208934317
Wu R-T, Jahanshahi Mohammad R (2019) Deep convolutional neural network for structural dynamic response estimation and system identification. J Eng Mech 145(1):04018125. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001556
Bilal MA, Ji Y, Wang Y, Akhter MP, Yaqub M (2022) An early warning system for earthquake prediction from seismic data using batch normalized graph convolutional neural network with attention mechanism (BNGCNNATT). Sensors (Basel). 22(17):6482. https://doi.org/10.3390/s22176482
Zhao H, Wei B, Zhang P, Guo P, Shao Z, Xu S, Jiang L, Hu H, Zeng Y, Xiang P (2024) Safety analysis of high-speed trains on bridges under earthquakes using a LSTM-RNN-based surrogate model. Comput Struct 294:107274. https://doi.org/10.1016/j.compstruc.2024.107274
Xiang P, Xu S, Zhao H, Jiang L, Ma H, Liu X (2023) Running safety analysis of a train-bridge coupled system under near-fault ground motions considering rupture directivity effects. Structures 58:105382. https://doi.org/10.1016/j.istruc.2023.105382
Zhou WB, Yu J, Jiang LZ, Lai ZP, Zuo YJ, Peng K (2023) Component damage and failure sequence of track-bridge system for high-speed railway under seismic action. J Earthquake Eng 27(3):656–678. https://doi.org/10.1080/13632469.2022.2030433
Sekar V, Jiang QH, Shu C, Khoo BC (2019) Fast flow field prediction over airfoils using deep learning approach. Phys Fluids. https://doi.org/10.1063/1.5094943
Xiang P, Zhang P, Zhao H, Shao Z, Jiang L (2023) Seismic response prediction of a train-bridge coupled system based on a LSTM neural network. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2023.2260469
Lu WX, Rui HD, Liang CY, Jiang L, Zhao SP, Li KQ (2020) A method based on GA-CNN-LSTM for daily tourist flow prediction at scenic spots. Entropy 22(3):261. https://doi.org/10.3390/e22030261
Hannun AY, Rajpurkar P, Haghpanahi M, Tison GH, Bourn C, Turakhia MP, Ng AY (2019) Cardiologist-level arrhythmia detection and classification in ambulatory electrocardiograms using a deep neural network. Nat Med 25(1):65. https://doi.org/10.1038/s41591-018-0268-3
Wen L, Li XY, Gao L, Zhang YY (2018) A new convolutional neural network-based data-driven fault diagnosis method. IEEE Trans Ind Electron 65(7):5990–5998. https://doi.org/10.1109/tie.2017.2774777
Nakagawa S, Schielzeth H (2013) A general and simple method for obtaining R2 from generalized linear mixed-effects models. Methods Ecol Evol 4(2):133–142. https://doi.org/10.1111/j.2041-210x.2012.00261.x
Chai T, Draxler RR (2014) Root mean square error (RMSE) or mean absolute error (MAE)? arguments against avoiding RMSE in the literature. Geosci Model Dev 7(3):1247–1250. https://doi.org/10.5194/gmd-7-1247-2014
Acknowledgements
This research work was jointly supported by the National Natural Science Foundation of China (Grant No. 11972379), and Hunan Science Fund for Distinguished Young Scholars (2021JJ10061).
Author information
Authors and Affiliations
Contributions
XZ: Supervision, Writing—review and editing, Funding acquisition. XX: Conceptualization, Methodology, Software, Validation, Writing-original draft. ST: Supervision. HZ: Validation, Investigation. XS: Conceptualization. LW: Conceptualization, Data curation. HW: Visualization. PX: Supervision, Writing—review·and editing, Funding acquisition.
Corresponding author
Ethics declarations
Conflict of interest
The authors have no relevant financial or non-financial interests to disclose.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zhang, X., Xie, X., Tang, S. et al. High-speed railway seismic response prediction using CNN-LSTM hybrid neural network. J Civil Struct Health Monit 14, 1125–1139 (2024). https://doi.org/10.1007/s13349-023-00758-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13349-023-00758-6