|Table of Contents|

Track irregularity probabilistic model(PDF)

《交通运输工程学报》[ISSN:1671-1637/CN:61-1369/U]

Issue:
2018年03期
Page:
56-63
Research Field:
道路与铁道工程
Publishing date:

Info

Title:
Track irregularity probabilistic model
Author(s):
XU Lei1; 2;  ZHAI Wan-ming1
1. State-Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, Sichuan, China; 2. Section of Road and Railway Engineering, Delft University of Technology, Delft 2628, Zuid-Holland, Netherlands
Keywords:
railway engineering;  track irregularity;  probabilistic model;  random vibration;  vehicle-track coupled dynamics;  stochastic model
PACS:
U213.213
DOI:
-
Abstract:
To efficiently select track irregularity random samples for satisfying the ergodicity requirements of excitation sources in stochastic dynamics and reliability analysis in vehicle-track system, the weak-stationarity and similarity spectral of track irregularities were introduced to propose a track irregularity probabilistic model. Using the discrete probability integration and statistical approaches, the massively measured track irregularity time histories were divided into multiple time-domain sequences. The statistical power spectral density distribution of each sequence was calculated by the spectral analysis method. Then, using the matrix-based method, the set representation of the power spectral density function of track irregularities was obtained. It was assumed that the power spectral densities could be linearly accumulated at different frequencies, allowing the probabilities of entire spectra line to be obtained using the power spectral density probability distribution of a single frequency. The representative track irregularity spectra were selected through the commonly random simulation methods, and the track random irregularities were inversely simulated. The height and direction track irregularities of high-speed railway about 269 km were measured. Based on the vehicle-track coupled dynamics theory, the calculation results between the track irregularity probabilistic model and track irregularity stochastic model was compared from the aspects of the simulated amplitude of track irregularity and the probability density distribution for dynamic response in the vehicle-track system to verify the validity and high efficacy of the track irregularity probabilistic model. Calculation result shows that when taking the track random irregularities caused by the two models as excitation sources, the difference of the obtained probability entropies of vehicle-track system dynamic response between the two models is less than 2%. Both models can accurately express the excitation characteristics of track irregularities. The stochastic and probabilistic models need 131 and 33 random samples, respectively, to guarantee the consistent probability density distributions between the simulation and measurement, and the probabilistic model has higher computation efficiency. Under the presented computational condition, the wheel-rail forces and car body accelerations are 38-152 kN and -0.042g-0.043g, respectively, and are respectively less than the limits of wheel-rail forces(170 kN)and car body accelerations(0.25g)in Code for High Speed Railway Design(TB 10621—2014). The track irregularity status of the investigated high-speed line is sufficient to guarantee the running safety and riding comfort of the vehicle. 1 tab, 7 figs, 25 refs.

References:


[1] MAO Jian-feng, YU Zhi-wu, XIAO Yuan-jie, et al. Random dynamic analysis of a train-bridge coupled system involving random system parameters based on probability density evolution method[J]. Probabilistic Engineering Mechanics, 2016, 46: 48-61.
[2] ZHU D Y, ZHANG Y H, KENNEDY D, et al. Stochastic vibration of the vehicle-bridge system subject to non-uniform ground motions[J]. Vehicle System Dynamics, 2014, 52(3): 410-428.
[3] XU Lei, ZHAI Wan-ming. A new model for temporal-spatial stochastic analysis of vehicle-track systems[J]. Vehicle System Dynamics, 2017, 55(3): 427-448.
[4] 徐 磊,翟婉明.轨道结构随机场模型与车辆-轨道耦合随机动力分析[J].应用数学与力学,2017,8(1):67-74. XU Lei, ZHAI Wan-ming. The random field model for track structures and vehicle-track coupled stochastic dynamic analysis[J]. Applied Mathematics and Mechanics, 2017, 38(1): 67-74.(in Chinese)
[5] 张有为,项 盼,赵 岩,等.基于对称性的三维车辆轨道耦合系统随机振动虚拟激励方法[J].计算力学学报,2013,30(3):349-355. ZHANG You-wei, XIANG Pan, ZHAO Yan, et al. Efficient random vibration analysis of 3D-coupled vehicle-track systems based on symmetry principle[J]. Chinese Journal of Computational Mechanics, 2013, 30(3): 349-355.(in Chinese)
[6] ZENG Zhi-ping, ZHAO Yan-gang, XU Wen-tao, et al. Random vibration analysis of train-bridge under track irregularities and traveling seismic waves using train-slab track-bridge interaction model[J]. Journal of Sound and Vibration, 2015, 342: 22-43.
[7] PERRIN G, SOIZE C, DUHAMEL D, et al. Track irregularities stochastic modelling[J]. Probabilistic Engineering Mechanics, 2013, 34: 123-130.
[8] PANUNZIO A M, PUEL G, COTTEREAU R, et al. Construction of a stochastic model of track geometry irregularities and validation through experimental measurements of dynamic loading[J]. Vehicle System Dynamics, 2017, 55(3): 399-426.
[9] LESTOILLE N, SOIZE C, FUNFSCHILLING C. Stochastic prediction of high-speed train dynamics to long-term evolution of track irregularities[J]. Mechanics Research Communications, 2016, 75: 29-39.
[10] XU Lei, ZHAI Wan-ming. A novel model for determining the amplitude-wavelength limits of track irregularities accompanied by a reliability assessment in railway vehicle-track dynamics[J]. Mechanical Systems and Signal Processing, 2017, 86: 260-277.
[11] XU Lei, ZHAI Wan-ming, GAO Jian-min. Extended applications of track irregularity probabilistic model and vehicle-slab track coupled model on dynamics of railway systems[J]. Vehicle System Dynamics, 2017, 55(11): 1686-1706.
[12] XU Lei, ZHAI Wan-ming, GAO Jian-min. Global sensitivity analysis for vehicle-track interactions: special attention on track irregularities[J]. Journal of Computational and Nonlinear Dynamics, 2018, 13(3): 1-12.
[13] XU Lei, ZHAI Wan-ming. Stochastic analysis model for vehicle-track coupled systems subject to earthquakes and track random irregularities[J]. Journal of Sound and Vibration, 2017, 407: 209-225.
[14] XU Lei, ZHAI Wan-ming. Probabilistic assessment of railway vehicle-curved track systems considering track random irregularities[J]. Vehicle System Dynamics, 2018, 56(1): 1-25.
[15] XU Lei, ZHAI Wan-ming, CHEN Zhao-wei. On use of characteristic wavelengths of track irregularities to predict track portions with deteriorated wheel/rail forces[J]. Mechanical Systems and Signal Processing, 2018, 104: 264-278.
[16] XU Lei, GAO Jian-min, ZHAI Wan-ming. On effects of rail fastener failure on vehicle/track interactions[J]. Structural Engineering and Mechanics, 2017, 63(5): 659-667.
[17] BABUKA I, NOBILE F, TEMPONE R. A stochastic collocation method for elliptic partial differential equations with random input data[J]. SIAM Journal on Numerical Analysis, 2007, 45(3): 1005-1034.
[18] 康 熊,刘秀波,李红艳,等.高速铁路无砟轨道不平顺谱[J].中国科学:技术科学,2014,44(7):687-696. KANG Xiong, LIU Xiu-bo, LI Hong-yan, et al. PSD of ballastless track irregularities of high-speed railway[J]. Scientia Sinica: Technologica, 2014, 44(7): 687-696.(in Chinese)
[19] 陈 果,翟婉明.铁路轨道不平顺随机过程的数值模拟[J].西南交通大学学报,1999,34(2):138-142. CHEN Guo, ZHAI Wan-ming. Numerical simulation of the stochastic process of railway track irregularities[J]. Journal of Southwest Jiaotong University, 1999, 34(2): 138-142.(in Chinese)
[20] ZHAI Wan-ming, WANG Kai-yun, CAI Cheng-biao. Fundamentals of vehicle-track coupled dynamics[J]. Vehicle System Dynamics, 2009, 47(11): 1349-1376.
[21] CHEN Guo, ZHAI Wan-ming. A new wheel/rail spatially dynamic coupling model and its verification[J]. Vehicle System Dynamics, 2004, 41(4): 301-322.
[22] SHEN Z Y, HEDRICK J K, ELKINS J A. A comparison of alternative creep force models for rail vehicle dynamic analysis[J]. Vehicle System Dynamics, 1983, 12(1-3): 79-83.
[23] CHEN Xian-mai, DENG Xiang-yun, XU Lei. A three-dimensional dynamic model for railway vehicle-track interactions[J]. Journal of Computational and Nonlinear Dynamics, 2018, 13: 1-10.
[24] XU Lei, CHEN Xian-mai, LI Xu-wei, et al. Development of a railway wagon-track interaction model: case studies on excited tracks[J]. Mechanical Systems and Signal Processing, 2018, 100: 877-898.
[25] DOBOVIEK A, MARKOVI(ˇoverC)R, BRUMEN M, et al. The maximum entropy production and maximum Shannon information entropy in enzyme kinetics[J]. Physica A: Statistical Mechanics and its Applications, 2018, 496: 220-232.

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Last Update: 2018-07-14