Temporal-spatial features of probability distribution of vertical irregularity in ballasted track

SHEN Jian-feng

doi:10.19818/j.cnki.1671-1637.2019.06.005

Volume 19 Issue 6

Turn off MathJax

Article Contents

Article Navigation > Journal of Traffic and Transportation Engineering > 2019 > 19(6): 45-53

SHEN Jian-feng. Temporal-spatial features of probability distribution of vertical irregularity in ballasted track[J]. Journal of Traffic and Transportation Engineering, 2019, 19(6): 45-53. doi: 10.19818/j.cnki.1671-1637.2019.06.005

Citation:

SHEN Jian-feng. Temporal-spatial features of probability distribution of vertical irregularity in ballasted track[J]. Journal of Traffic and Transportation Engineering, 2019, 19(6): 45-53. doi: 10.19818/j.cnki.1671-1637.2019.06.005

Citation:

PDF( 1888 KB)

Temporal-spatial features of probability distribution of vertical irregularity in ballasted track

doi: 10.19818/j.cnki.1671-1637.2019.06.005

SHEN Jian-feng^{1, 2
,}

1.
CCCC Investment Company Limited, Beijing 100029, China
2.
Key Laboratory of Road and Traffic Engineering of Ministry of Education, Tongji University, Shanghai 201804, China

More Information

Author Bio:
SHEN Jian-feng (1987-), male, engineer, PhD, sjfzjsx@163.com
Received Date: 2019-06-08
Publish Date: 2019-12-25

Abstract

Abstract

To study the optimum probability distribution function and the temporal-spatial features of vertical irregularity standard deviations on different sections of ballasted track, the three-parameter probability distribution function was used to fit the features of peak value and the tail of vertical irregularity standard deviations of ballasted track. Five three-parameter theoretical distribution functions were selected, and the selection principle of the optimum probability distribution function was determined. Taking the existing Shanghai-Kunming Line as an example, the optimum probability distribution functions of vertical irregularity standard deviations on six different linear sections of ballasted track were fitted. The temporal feature of vertical irregularity standard deviation was analyzed. The variations of distribution function parameters with time were fitted by non-linear functions. The spatial feature of vertical irregularity standard deviation was analyzed. The differences of track quality statuses in spatial dimension were compared. Analysis result shows that in the large value region of vertical irregularity standard deviations, the relative error between the theoretical value obtained from the three-parameter Lognormal distribution and the actual value is less than 5%, while the relative error between the theoretical value obtained from the normal distribution and the actual value is more than 50%. Therefore, the three-parameter probability distribution function can effectively solve the deviated problem between the theoretical value of two-parameter probability distribution function and the actual value in this region. When describing the statistical distribution features of linear sections, different distribution functions should be selected on different linear sections, and the same distribution function should be selected on the same linear section. On the bridge and tunnel sections of existing Shanghai-Kunming Line, the Burr distribution obtains the optimum probability distribution for five times, and the mean and standard deviation of difference of P values are 0.09 and 0.12, respectively. When using the non-linear function to fit the parameters of the distribution obeyed by the vertical irregularity standard deviation on each section, the fitting goodnesses of three parameters are all greater than 0.6. Therefore, the non-linear function can be used to fit the variations of three parameters with time. Both the over-range percentages of vertical irregularity standard deviations on bridge and tunnel sections before and after the repair and maintenance operations are less than 3%. The over-range percentages of vertical irregularity standard deviations on circular, transition and straight line sections are 3.5%-12.8%, while the values on the speed-limit and switch sections are greater than 25%. Therefore, the determined selection principle of the optimum probability distribution function can be used to study the probability distribution feature of track irregularity.
- railway engineering,
- ballasted track,
- vertical irregularity,
- three-parameter probability distribution,
- temporal feature,
- spatial feature

FullText(HTML)

References(32)

References

[1]	王建西, 李海锋, 许玉德. 基于概率分布推移变化的铁路轨道几何状态评价与预测方法[J]. 中国铁道科学, 2008, 29(5): 31-34. doi: 10.3321/j.issn:1001-4632.2008.05.006 WANG Jian-xi, LI Hai-feng, XU Yu-de. Evaluation and prediction method for railway track geometric state based on probability distribution change[J]. China Railway Science, 2008, 29(5): 31-34. (in Chinese). doi: 10.3321/j.issn:1001-4632.2008.05.006
[2]	高建敏, 翟婉明, 徐涌, 等. 基于概率分布的轨道不平顺发展统计预测[J]. 铁道科学与工程学报, 2006, 3(6): 55-60. doi: 10.3969/j.issn.1672-7029.2006.06.011 GAO Jian-min, ZHAI Wan-ming, XU Yong, et al. Development forecast model of track irregularity based on probability distribution[J]. Journal of Railway Science and Engineering, 2006, 3(6): 55-60. (in Chinese). doi: 10.3969/j.issn.1672-7029.2006.06.011
[3]	高建敏. 铁路有砟轨道下沉及高低不平顺发展预测研究[D]. 成都: 西南交通大学, 2008. GAO Jian-min. Study on settlement of railway ballasted track and growth forecast of track vertical profile irregularity[D]. Chengdu: Southwest Jiaotong University, 2008. (in Chinese).
[4]	ZHANG Yu-jiang, EL-SIBAIE M, LEE S, FRA track quality indices and distribution characteristics[C]//AREMA. 2004 AREMA Annual Conference. Nashville: AREMA, 2004: 1-26.
[5]	EL-SIBAIE M, ZHANG Yu-jiang. Objective track quality indices[J]. Transportation Research Record, 2004(1863): 81-87.
[6]	OYAMA T, MIWA M. Mathematical modeling analyses for obtaining an optimal railway track maintenance schedule[J]. Japan Journal of Industrial and Applied Mathematics, 2006, 23(2): 207-224. doi: 10.1007/BF03167551
[7]	JOVANOVIC S. Railway track quality assessment and related decision making[C]//IEEE. 2004 IEEE International Conference on Systems, Man and Cybernetics. New York: IEEE, 2004: 5038-5043.
[8]	SADEGHI J, ASKARINEJAD H. Development of improved railway track degradation models[J]. Structure and Infrastructure Engineering, 2010, 6(6): 675-688. doi: 10.1080/15732470801902436
[9]	SADEGHI J, ASKARINEJAD H. An investigation into the effects of track structural conditions on railway track geometry deviations[J]. Proceedings of the Institution of Mechanical Engineers Part F: Journal of Rail and Rapid Transit, 2009, 223(4): 415-425. doi: 10.1243/09544097JRRT266
[10]	SADEGHI J. Development of railway track geometry indexes based on statistical distribution of geometry data[J]. Journal of Transportation Engineering, 2010, 136(8): 693-700. doi: 10.1061/(ASCE)0733-947X(2010)136:8(693)
[11]	SADEGHI J, AKBARI B. Field investigation on effects of railway track geometric parameters on rail wear[J]. Journal of Zhejiang University—Science A: Applied Physics and Engineering, 2006, 7(11): 1846-1855.
[12]	GULER H, JOVANOVIC S, EVREN G. Modelling railway track geometry deterioration[J]. Proceedings of the Institution of Civil Engineers—Transport, 2011, 164(2): 65-75. doi: 10.1680/tran.2011.164.2.65
[13]	许玉德, 李海峰, 周宇. 铁路轨道高低不平顺的预测方法[J]. 同济大学学报(自然科学版), 2003, 31(3): 291-295. doi: 10.3321/j.issn:0253-374X.2003.03.009 XU Yu-de, LI Hai-feng, ZHOU Yu. Forecast methods of track longitudinal level irregularity[J]. Journal of Tongji University (Natural Science), 2003, 31(3): 291-295. (in Chinese). doi: 10.3321/j.issn:0253-374X.2003.03.009
[14]	许玉德, 周宇. 既有线轨道质量指数的分布与不平顺权重系数统计分析[J]. 中国铁道科学, 2006, 27(4): 71-75. doi: 10.3321/j.issn:1001-4632.2006.04.014 XU Yu-de, ZHOU Yu. Statistics analysis of distribution of track quality index and weight coefficient of track irregularity[J]. China Railway Science, 2006, 27(4): 71-75. (in Chinese). doi: 10.3321/j.issn:1001-4632.2006.04.014
[15]	周宇, 许玉德, 李浩然. 轨道不平顺非线性预测模型[J]. 交通运输工程学报, 2004, 4(4): 21-24. doi: 10.3321/j.issn:1671-1637.2004.04.006 ZHOU Yu, XU Yu-de, LI Hao-ran. Nonlinear track irregularity forecast model[J]. Journal of Traffic and Transportation Engineering, 2004, 4(4): 21-24. (in Chinese). doi: 10.3321/j.issn:1671-1637.2004.04.006
[16]	木东升, 周宇, 韩延彬, 等. 轨道综合作业对高速铁路有砟轨道几何不平顺改善效果[J]. 交通运输工程学报, 2018, 18(5): 90-99. doi: 10.3969/j.issn.1671-1637.2018.05.009 MU Dong-sheng, ZHOU Yu, HAN Yan-bin, et al. Effect of track comprehensive maintenance on geometry irregularity improvement of ballast track in high-speed railway[J]. Journal of Traffic and Transportation Engineering, 2018, 18(5): 90-99. (in Chinese). doi: 10.3969/j.issn.1671-1637.2018.05.009
[17]	PATRA A P, SODERHOLM P, KUMAR U. Uncertainty estimation in railway track life-cycle cost: a case study from Swedish National Rail Administration[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2009, 223(3): 285-293. doi: 10.1243/09544097JRRT235
[18]	ANDRADE A R, TEIXEIRA P F. A Bayesian model to assess rail track geometry degradation through its life-cycle[J]. Research in Transportation Economics, 2012, 36(1): 1-8. doi: 10.1016/j.retrec.2012.03.011
[19]	MEIER-HIRMER C, RIBOULET G, SOURGET F, et al. Maintenance optimization for a system with a gamma deterioration process and intervention delay: application to tract maintenance[J]. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 2009, 223(3): 189-198. doi: 10.1243/1748006XJRR234
[20]	MERCIER S C, MEIER-HIRMER C, ROUSSIGNOL M. Bivariate Gamma wear processes for track geometry modelling, with application to intervention scheduling[J]. Structure and Infrastructure Engineering, 2012, 8(4): 357-366. doi: 10.1080/15732479.2011.563090
[21]	QUIROGA L M, SCHNIEDER E. Modelling of high speed railroad geometry ageing as a discrete-continuous process[C]//SMTDA. Stochastic Modeling Techniques and Data Analysis International Conference. Chania: SMTDA, 2010: 655-666.
[22]	QUIROGA L M, SCHNIEDER E. Monte Carlo simulation of railway track geometry deterioration and restoration[J]. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 2012, 226(3): 274-282. doi: 10.1177/1748006X11418422
[23]	ANDRADE A R, TEIXEIRA P F. Uncertainty in rail-track geometry degradation: Lisbon-Oporto Line case study[J]. Journal of Transportation Engineering, 2011, 137(3): 193-200. doi: 10.1061/(ASCE)TE.1943-5436.0000206
[24]	ANDRADE A R, TEIXEIRA P F. Hierarchical Bayesian modelling of rail track geometry degradation[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2013, 227(4): 364-375. doi: 10.1177/0954409713486619
[25]	VALE C, LURDES S M. Stochastic model for the geometrical rail track degradation process in the Portuguese Railway Northern Line[J]. Reliability Engineering and System Safety, 2013, 116: 91-98. doi: 10.1016/j.ress.2013.02.010
[26]	AUDLEY M, ANDREWS J D. The effects of tamping on railway track geometry degradation[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2013, 227(4): 376-391. doi: 10.1177/0954409713480439
[27]	ANDREWS J. A modelling approach to railway track asset management[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2013, 227(1): 56-73.
[28]	PRESCOTT D, ANDREWS J. A track ballast maintenance and inspection model for a rail network[J]. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 2013, 227(3): 251-266.
[29]	ANDREWS J, PRESCOTT D, DE ROZIÈRES F. A stochastic model for railway track asset management[J]. Reliability Engineering and System Safety, 2014, 130: 76-84.
[30]	PRESCOTT D, ANDREWS J. Investigating railway track asset management using a Markov analysis[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2015, 229(4): 402-416.
[31]	LESTOILLE N. Stochastic model of high-speed train dynamics for the prediction of long-time evolution of the track irregularities[D]. Paris: Université Paris-Est. 2015.
[32]	徐磊, 翟婉明. 轨道不平顺概率模型[J]. 交通运输工程学报, 2018, 18(3): 56-63. http://transport.chd.edu.cn/article/id/201803006 XU Lei, ZHAI Wan-ming. Track irregularity probabilistic model[J]. Journal of Traffic and Transportation Engineering, 2018, 18(3): 56-63. (in Chinese). http://transport.chd.edu.cn/article/id/201803006

Relative Articles

Supplements(0)

Cited By

Proportional views

Proportional views

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Get Citation

PDF

XML

Article Metrics

Article views (793) PDF downloads(432)

Temporal-spatial features of probability distribution of vertical irregularity in ballasted track

doi: 10.19818/j.cnki.1671-1637.2019.06.005

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Proportional views

Related

Temporal-spatial features of probability distribution of vertical irregularity in ballasted track

doi: 10.19818/j.cnki.1671-1637.2019.06.005

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Proportional views

Related

Export File

Citation

Format

Content