Stochastic dynamic simulation of railway vehicles collision using data-driven modelling approach

Shaodi Dong, Zhao Tang, Michelle Wu, Jianjun Zhang

Railway Engineering Science ›› 2022, Vol. 30 ›› Issue (4) : 512-531.

Railway Engineering Science ›› 2022, Vol. 30 ›› Issue (4) : 512-531. DOI: 10.1007/s40534-022-00273-2
Article

Stochastic dynamic simulation of railway vehicles collision using data-driven modelling approach

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Abstract

Using stochastic dynamic simulation for railway vehicle collision still faces many challenges, such as high modelling complexity and time-consuming. To address the challenges, we introduce a novel data-driven stochastic process modelling (DSPM) approach into dynamic simulation of the railway vehicle collision. This DSPM approach consists of two steps: (i) process description, four kinds of kernels are used to describe the uncertainty inherent in collision processes; (ii) solving, stochastic variational inferences and mini-batch algorithms can then be used to accelerate computations of stochastic processes. By applying DSPM, Gaussian process regression (GPR) and finite element (FE) methods to two collision scenarios (i.e. lead car colliding with a rigid wall, and the lead car colliding with another lead car), we are able to achieve a comprehensive analysis. The comparison between the DSPM approach and the FE method revealed that the DSPM approach is capable of calculating the corresponding confidence interval, simultaneously improving the overall computational efficiency. Comparing the DSPM approach with the GPR method indicates that the DSPM approach has the ability to accurately describe the dynamic response under unknown conditions. Overall, this research demonstrates the feasibility and usability of the proposed DSPM approach for stochastic dynamics simulation of the railway vehicle collision.

Keywords

Dynamic simulation / Railway vehicle collision / Stochastic process / Data-driven stochastic process modelling

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Shaodi Dong, Zhao Tang, Michelle Wu, Jianjun Zhang. Stochastic dynamic simulation of railway vehicles collision using data-driven modelling approach. Railway Engineering Science, 2022, 30(4): 512‒531 https://doi.org/10.1007/s40534-022-00273-2

References

[1.]
Zhu T Xiao S Lei C . Rail vehicle crashworthiness based on collision energy management: an overview. Int J Rail Transp, 2021 9 2 101-131
CrossRef Google scholar
[2.]
Zhu T Xiao SN Hu GZ . Crashworthiness analysis of the structure of metro vehicles constructed from typical materials and the lumped parameter model of frontal impact. Transport, 2019 34 1 75-88
CrossRef Google scholar
[3.]
Li R Xu P Peng Y . Scaled tests and numerical simulations of rail vehicle collisions for various train sets. Proc Inst Mech Eng Part F J Rail Rapid Transit, 2016 230 6 1590-1600
CrossRef Google scholar
[4.]
Lu S Xu P Yan K . A force/stiffness equivalence method for the scaled modelling of a high-speed train head car. Thin-Walled Struct, 2019 137 129-142
CrossRef Google scholar
[5.]
Cho HJ Koo JS. A numerical study of the derailment caused by collision of a rail vehicle using a virtual testing model. Veh Syst Dyn, 2012 50 1 79-108
CrossRef Google scholar
[6.]
Scholes A Lewis JH. Development of crashworthiness for railway vehicle structures. Proc Inst Mech Eng Part F J Rail Rapid Transit, 1993 207 1 1-16
CrossRef Google scholar
[7.]
Montgomery DC Runger GC Hubele NF. Engineering statistics, 2009 New York Wiley
[8.]
Tang Z Zhu Y Nie Y . Data-driven train set crash dynamics simulation. Veh Syst Dyn, 2017 55 2 149-167
CrossRef Google scholar
[9.]
Dong S Tang Z Yang X . Nonlinear spring-mass-damper modeling and parameter estimation of train frontal crash using CLGAN model. Shock Vib, 2020 2020 9536915
[10.]
Nie Y Tang Z Liu F . A data-driven dynamics simulation framework for railway vehicles. Veh Syst Dyn, 2018 56 3 406-427
CrossRef Google scholar
[11.]
Müller M Botsch M Böhmländer D . Machine learning based prediction of crash severity distributions for mitigation strategies. J Adv Inf Technol, 2018 9 1 15-24
[12.]
Li YR Zhu T Xiao SN . Application of the collision mathematical model based on a BP neural network in railway vehicles. Proc Inst Mech Eng Part F J Rail Rapid Transit, 2021 235 6 713-725
CrossRef Google scholar
[13.]
Luo R Shi H Teng W . Prediction of wheel profile wear and vehicle dynamics evolution considering stochastic parameters for high-speed train. Wear, 2017 392 126-138
CrossRef Google scholar
[14.]
Lu Y Yang S Li S . Numerical and experimental investigation on stochastic dynamics load of a heavy duty vehicle. Appl Math Model, 2010 34 10 2698-2710
CrossRef Google scholar
[15.]
Souffran G Miègeville L Guérin P. Simulation of real-world vehicle missions using a stochastic Markov model for optimal powertrain sizing. IEEE Trans Veh Technol, 2012 61 8 3454-3465
CrossRef Google scholar
[16.]
Xu L Zhai W. A new model for temporal–spatial stochastic analysis of vehicle–track coupled systems. Veh Syst Dyn, 2017 55 3 427-448
CrossRef Google scholar
[17.]
Hao P Boriboonsomsin K Wu G . Modal activity-based stochastic model for estimating vehicle trajectories from sparse mobile sensor data. IEEE Trans Intell Transp Syst, 2017 18 3 701-711
CrossRef Google scholar
[18.]
Hoffman MD Blei DM Wang C . Stochastic variational inference. J Mach Learn Res, 2013 14 5 1303-1347
[19.]
Urtasun R, Darrell T (2008) Sparse probabilistic regression for activity-independent human pose inference. In: 2008 IEEE conference on computer vision and pattern recognition. Anchorage, AK, USA. IEEE, pp 1–8
[20.]
Hensman J, Rattray M, Lawrence N D (2012) Fast variational inference in the conjugate exponential family. arXiv preprint arXiv:1206.5162
[21.]
Hensman J, Fusi N, Lawrence ND (2013) Gaussian processes for big data. arXiv preprint arXiv:1309.6835
[22.]
Raissi M Babaee H Karniadakis GE. Parametric Gaussian process regression for big data. Comput Mech, 2019 64 2 409-416
CrossRef Google scholar
[23.]
Shokravi H Shokravi H Bakhary N . A comparative study of the data-driven stochastic subspace methods for health monitoring of structures: a bridge case study. Appl Sci, 2020 10 9 3132
CrossRef Google scholar
[24.]
Prudencio EE Bauman PT Williams SV . A dynamic data driven application system for real-time monitoring of stochastic damage. Procedia Comput Sci, 2013 18 2056-2065
CrossRef Google scholar
[25.]
Jiang B Fei Y. Vehicle speed prediction by two-level data driven models in vehicular networks. IEEE Trans Intell Transp Syst, 2017 18 7 1793-1801
CrossRef Google scholar
[26.]
Maraun D Huth R Gutiérrez JM . The VALUE perfect predictor experiment: evaluation of temporal variability. Int J Climatol, 2019 39 9 3786-3818
CrossRef Google scholar
[27.]
Fortunato AB Bertin X Oliveira A. Space and time variability of uncertainty in morphodynamic simulations. Coast Eng, 2009 56 8 886-894
CrossRef Google scholar
[28.]
Haigermoser A Luber B Rauh J . Road and track irregularities: measurement, assessment and simulation. Veh Syst Dyn, 2015 53 7 878-957
CrossRef Google scholar
[29.]
Oprea RA. A constrained motion perspective of railway vehicles collision. Multibody SysDyn, 2013 30 1 101-116
CrossRef Google scholar
[30.]
Rasmussen CE (2004) Gaussian processes in machine learning. In: Advanced lectures on machine learning. Springer, Berlin, pp 63–71
[31.]
Shimodaira H. Improving predictive inference under covariate shift by weighting the log-likelihood function. J Stat Plann Inference, 2000 90 2 227-244
CrossRef Google scholar
[32.]
Zhou Q Jiang P Shao X . A variable fidelity information fusion method based on radial basis function. Adv Eng Inf, 2017 32 26-39
CrossRef Google scholar
[33.]
Oloyede I. Bayesian classification of high dimensional data with gaussian process using different kernels. Anale Seria Informatică, 2018 16 1 164-167
[34.]
Longman FS, Mihaylova L, Yang L et al. (2019) Multi-band image fusion using Gaussian process regression with sparse rational quadratic kernel. In: 22th international conference on information fusion (FUSION). Ottawa, ON, Canada. IEEE, pp 1–8
[35.]
Hida T Kuo HH Potthoff J . White noise: an infinite dimensional calculus, 2013 New York Springer
[36.]
Sonnenburg S Rätsch G Henschel S . The SHOGUN machine learning toolbox. J Mach Learn Res, 2010 11 1799-1802
[37.]
Fushiki T. Estimation of prediction error by using K-fold cross-validation. Stat Comput, 2011 21 2 137-146
CrossRef Google scholar
[38.]
Alpaydin E. Introduction to machine learning, 2020 London MIT Press
[39.]
Yang RJ Wang N Tho CH . Metamodeling development for vehicle frontal impact simulation. J Mech Des, 2005 127 5 1014-1020
CrossRef Google scholar
[40.]
Chen Q, Song X, Yamada H et al. (2016) Learning deep representation from big and heterogeneous data for traffic accident inference. In: Proceedings of the thirtieth AAAI conference on artificial intelligence. Phoenix, Arizona, USA, February 12–17, 2016
[41.]
Besbeas P Morgan BJT. Goodness-of-fit of integrated population models using calibrated simulation. Methods Ecol Evol, 2014 5 12 1373-1382
CrossRef Google scholar
[42.]
Gao G Wang S. Crashworthiness of passenger rail vehicles: a review. Int J Crashworthiness, 2019 24 6 664-676
CrossRef Google scholar
[43.]
Li SY Zheng ZJ. Energy-absorbing structure design and crashworthiness analysis of high-speed trains. Explos Shock Waves, 2015 35 2 164-170
Funding
National Key Scientific Instrument and Equipment Development Projects of China(2019YFB1405401); National Natural Science Foundation of China(5217120056)

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