Skip to main content
SpringerLink
Log in

Mathematical Modeling of the Short-Term Performance of Railway Track Under Train-Induced Loading

  • Conference paper
  • First Online:
Advances in Transportation Geotechnics IV

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 165))

  • 1337 Accesses

Abstract

The accurate prediction of the track deformation under train-induced repetitive loading is inevitable to assess the efficiency of a railway track. This paper presents an analytical technique to calculate the transient deformations in a railway track subjected to train-induced loading. The method considers the track substructure as multilayered media in which the behavior of an individual track layer is simulated using a mass-spring-dashpot model. Unlike existing approaches to model the track substructure as an equivalent single or double layer, the proposed analytical approach considers all the three layers of the ballasted track (i.e., ballast, capping or subballast and subgrade). The accuracy of the proposed technique is investigated by comparing the predicted values of track displacement with the published data available in the literature. The predicted results are found to be in good agreement with past studies. A parametric study on the substructure behavior revealed that the elastic modulus of track layers significantly influences the track response.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 379.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 379.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Nimbalkar S, Indraratna B (2016) Improved performance of ballasted rail track using geosynthetics and rubber shockmat. J Geotech Geoenviron Eng 142(8):04016031

    Article  Google Scholar 

  2. Nguyen K, Villalmanzo D, Goicolea J, Gabaldon F (2016) A computational procedure for prediction of ballasted track profile degradation under railway traffic loading. Proc Inst Mech Eng F J Rail Rapid Transit 230(8):1812–1827

    Google Scholar 

  3. Stewart H, Selig E (1982) Predicted and measured resilient response of track. J Geotech Eng Div 108(11):1423–1442

    Article  Google Scholar 

  4. Yang YB, Hung HH (2001) A 2.5D finite/infinite element approach for modelling visco‐elastic bodies subjected to moving loads. Int J Numer Methods Eng 51(11):1317–1336

    Google Scholar 

  5. Hall L (2003) Simulations and analyses of train-induced ground vibrations in finite element models. Soil Dyn Earthq Eng 23(5):403–413

    Article  Google Scholar 

  6. Yang LA, Powrie W, Priest JA (2009) Dynamic stress analysis of a ballasted railway track bed during train passage. J Geotech Geoenviron Eng 135(5):680–689

    Article  Google Scholar 

  7. Bian X, Jiang H, Chen Y (2010) Accumulative deformation in railway track induced by high-speed traffic loading of the trains. Earthq Eng Eng Vib 9(3):319–326

    Article  Google Scholar 

  8. Galvín P, Romero A, Domínguez J (2010) Fully three-dimensional analysis of high-speed train–track–soil-structure dynamic interaction. J Sound Vib 329(24):5147–5163

    Article  Google Scholar 

  9. Banimahd M, Woodward P, Kennedy J, Medero G (2013) Three-dimensional modelling of high speed ballasted railway tracks. Proc Inst Civ Eng Transp 166(2):113–123

    Google Scholar 

  10. Connolly D, Giannopoulos A, Forde M (2013) Numerical modelling of ground borne vibrations from high speed rail lines on embankments. Soil Dyn Earthq Eng 46:13–19

    Article  Google Scholar 

  11. Chen J, Zhou Y (2018) Dynamic responses of subgrade under double-line high-speed railway. Soil Dyn Earthq Eng 110:1–12

    Article  Google Scholar 

  12. Li L, Nimbalkar S, Zhong R (2018) Finite element model of ballasted railway with infinite boundaries considering effects of moving train loads and Rayleigh waves. Soil Dyn Earthq Eng 114:147–153

    Article  Google Scholar 

  13. Metrikine AV, Popp K (1999) Vibration of a periodically supported beam on an elastic half-space. Eur J Mech A Solids 18(4):679–701

    Article  Google Scholar 

  14. Chen YH, Huang YH (2000) Dynamic stiffness of infinite Timoshenko beam on viscoelastic foundation in moving co-ordinate. Int J Numer Methods Eng 48(1):1–18

    Article  Google Scholar 

  15. Kaynia AM, Madshus C, Zackrisson P (2000) Ground vibration from high-speed trains: prediction and countermeasure. J Geotech Geoenviron Eng 126(6):531–537

    Article  Google Scholar 

  16. Guo Y, Zhai W (2018) Long-term prediction of track geometry degradation in high-speed vehicle–ballastless track system due to differential subgrade settlement. Soil Dyn Earthq Eng 113:1–11

    Article  Google Scholar 

  17. Dieterman H, Metrikine V (1997) Steady-state displacements of a beam on an elastic half-space due to a uniformly moving constant load. Eur J Mech A Solids 16(2):295–306

    Google Scholar 

  18. Sheng X, Jones CJC, Petyt M (1999) Ground vibration generated by a harmonic load acting on a railway track. J Sound Vib 225(1):3–28

    Article  Google Scholar 

  19. Choudhury D, Bharti RK, Chauhan S, Indraratna B (2008) Response of multilayer foundation system beneath railway track under cyclic loading. J Geotech Geoenviron Eng 134(10):1558–1563

    Article  Google Scholar 

  20. Ahlbeck DR, Meacham HC, Prause RH (1975) The development of analytical models for railroad track dynamics. In: Symposium on railroad track mechanics. Pergamon Press, Princeton University, pp 239–263

    Google Scholar 

  21. Zhai WM, Wang KY, Lin JH (2004) Modelling and experiment of railway ballast vibrations. J Sound Vib 270(4–5):673–683

    Article  Google Scholar 

  22. Nimbalkar S, Indraratna B, Dash SK, Christie D (2012) Improved performance of railway ballast under impact loads using shock mats. J Geotech Geoenviron Eng 138(3):281–294

    Article  Google Scholar 

  23. Doyle NF (1980) Railway track design a review of current practice. In: Bureau of Transport Economics (ed). Australian Government Publishing Service, Canberra

    Google Scholar 

  24. Esveld C (2001) Modern railway track. MRT-Productions, Delft

    Google Scholar 

  25. Takemiya H, Bian X (2005) Substructure simulation of inhomogeneous track and layered ground dynamic interaction under train passage. J Eng Mech 131(7):699–711

    Article  Google Scholar 

  26. Priest JA, Powrie W, Yang L, Grabe PJ, Clayton CRI (2010) Measurements of transient ground movements below a ballasted railway line. Géotechnique 60(9):667–677

    Article  Google Scholar 

  27. Selig ET, Li D (1994) Track modulus: its meaning and factors influencing it. Transp Res Rec 1470:47–54

    Google Scholar 

  28. Shahu J, Kameswara Rao N, Yudhbir (1999) Parametric study of resilient response of tracks with a sub-ballast layer. Can Geotech J 36(6):1137–1150

    Google Scholar 

  29. Li D, Hyslip J, Sussmann T, Chrismer S (2016) Railway geotechnics. Taylor and Francis, Boca Raton

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Civil and Environmental Engineering, FEIT, University of Technology, Sydney, NSW-2007, Australia

    Piyush Punetha & Sanjay Nimbalkar

Authors
  1. Piyush Punetha
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sanjay Nimbalkar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sanjay Nimbalkar .

Editor information

Editors and Affiliations

  1. Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA

    Erol Tutumluer

  2. Department of Civil Engineering, The University of Texas at El Paso, El Paso, TX, USA

    Soheil Nazarian

  3. Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA

    Imad Al-Qadi

  4. Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA

    Issam I.A. Qamhia

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Punetha, P., Nimbalkar, S. (2022). Mathematical Modeling of the Short-Term Performance of Railway Track Under Train-Induced Loading. In: Tutumluer, E., Nazarian, S., Al-Qadi, I., Qamhia, I.I. (eds) Advances in Transportation Geotechnics IV. Lecture Notes in Civil Engineering, vol 165. Springer, Cham. https://doi.org/10.1007/978-3-030-77234-5_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-77234-5_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-77233-8

  • Online ISBN: 978-3-030-77234-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation