TECHNICAL PAPERS
May 1, 2009

Dynamic Stress Analysis of a Ballasted Railway Track Bed during Train Passage

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 135, Issue 5

Abstract

Scientific design of a railway track formation requires an understanding of the subgrade behavior and the factors affecting it. These include the effective resilient stiffness during train passage, which is likely to depend on the stress history and the stress state of the ground, and the stress path followed during loading. This study investigates the last of these, by means of a two-dimensional dynamic finite-element analysis. The effects of train speed, acceleration/braking, geometric variation in rail head level, and a single unsupported sleeper are considered. Results indicate that dynamic effects start to become apparent when the train speed is greater than 10% of the Rayleigh wave speed, vc , of the subgrade. At a train speed of 0.5vc , the shear stresses will be underestimated by 30% in a static analysis, and at train speeds greater than vc the stresses due to dynamic effects increase dramatically. Train acceleration/braking may increase shear stresses and horizontal displacements in the soil, and hence the requirement for track maintenance at locations where trains routinely brake or accelerate. For heavy haul freight trains, long wavelength variations in rail head level may lead to significantly increased stresses at passing frequencies (defined as the train speed divided by the wavelength of the variation in level) greater than 15, and short wavelength variations at passing frequencies of 60–70. Stress increases adjacent to an unsupported sleeper occur in the ballast and subballast layers, but rapidly become insignificant with increasing depth.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The work described in this paper was carried out under the auspices of Rail Research United Kingdom and financed by the Engineering and Physical Sciences Research Council (Grant No. UNSPECIFIEDGR/S12784/01). The writers are grateful to Dr. Hannes Grabe and Spoornet for providing information about the COALlink line.

References

Brown, S. F. (1996). “Soil mechanics in pavement engineering.” Geotechnique, 46(3), 384–426.
Chang, C. S., Adegoke, C. W., and Selig, E. T. (1980). “The GEOTRACK model for railroad track performance.” J. Geotech. Engrg. Div., 106(11), 1201–1218.
Esveld, C. (2001). Modern railway track, MRT Productions, Zaltbommel, The Netherlands.
Grabe, P. J. (2002). “Resilient and permanent deformation of railway foundations under principal stress rotation.” Ph.D. thesis, Univ. of Southampton, Southampton, U.K.
Grabe, P. J., and Clayton, C. R. I. (2009). “The effects of principal stress rotation on permanent deformations in rail track formations.” J. Geotech. Geoenviron. Eng., 135(4), 555–565.
Grabe, P. J., Clayton, C. R. I., and Shaw, F. J. (2005). “Deformation measurement on a heavy haul track formation.” Proc., of the 8th Int. Heavy Haul Conf., International Heavy Haul Association, Rio de Janeiro, Brazil, 287–295.
Grassie, S. L., and Cox, S. J. (1985). “The dynamic response of railway track with unsupported sleepers.” J. Automobile Eng., 199(D2), 123–135.
Heath, D. L., Shenton, M. J., Sparrow, R. W., and Waters, J. M. (1972). “Design of conventional rail track foundations.” Proc.-Inst. Civ. Eng., 51(2), 251–267.
Hibbitt, Karlsson & Sorensen, Inc. (2005). ABAQUS/Explicit user’s manuals, Version 6.6, Pawtucket, R.I.
Jenkins, H. H., Stephenson, J. E., Clayton, G. A., Morland, G. W., and Lyon, D. (1974). “The effect of track and vehicle parameters on wheel/rail vertical dynamics forces.” Railway Eng. J., 3(1), 2–16.
Krylov, V. V. (1995). “Generation of ground vibration by superfast trains.” Appl. Acoust., 44, 149–164.
Krylov, V. V. (1996). “Vibrational impact of high—Speed trains. I. Effect of track dynamics.” J. Acoust. Soc. Am., 100(5), 3121–3134.
Li, D., Meddah, A., Hass, K., and Kalay, S. (2006). “Relating track geometry to vehicle performance using neural network approach.” Proc. Inst. Mech. Eng., F J. Rail Rapid Transit, 220(3), 273–281.
Li, D., and Selig, E. T. (1996). “Cumulative plastic deformation for fine-grained subgrade soils.” J. Geotech. Engrg., 122(12), 1006–1013.
Liegner, N. (2002). “Determining the stress pattern in the HH railroad ties due to dynamic loads.” Periodica Polytechnica Ser. Civ. Eng., 46(1), 125–148.
Lundqvist, A., and Dahlberg, T. (2005). “Load impact on railway track due to unsupported sleepers.” Proc. Inst. Mech. Eng., F J. Rail Rapid Transit, 219(F2), 67–77.
Madshus, C., and Kaynia, A. M. (2000). “High-speed railway lines on soft ground: dynamic behaviour at critical train speed.” J. Sound Vib., 231(3), 689–701.
Nielsen, J. C. O., and Igeland, A. (1995). “Vertical dynamic interaction between train and track—Influence of wheel and track imperfections.” J. Sound Vib., 187(5), 825–839.
O’Riordan, N., and Phear, A. (2001). “Design and construction of ballasted track formation and subgrade for high speed lines.” Proc., of the Int. Conf. of Railway Engineering—2001, London.
Permanent Way Institution. (1993). British railway track-design, construction and maintenance, 6th Ed., Stoke-on-Trent, U.K.
Powrie, W., Yang, L. A., and Clayton, C. R. I. (2007). “Stress changes in the ground below ballasted railway track during train passage.” Proc. Inst. Mech. Eng., F J. Rail Rapid Transit, 221(2), 247–261.
Prakash, S. (1981). Soil dynamics, McGraw-Hill, New York.
Priest, J., Powrie, W., Yang, L. A, Grabe, P., and Clayton, C. R. I. (2009). “Dynamic ground deformation below a ballasted railway line.” Geotechnique, in review.
Selig, E. T., and Waters, J. W. (1994). Track geotechnology and substructure management, Thomas Telford, London.
Shaw, F. J. (2005). “Railway track formation stiffnesses.” MSc thesis, Univ. of Pretoria, Pretoria, South Africa.
Sheng, X., Jones, C. J. C., and Thompson, D. J. (2004). “A theoretical model for ground vibration from trains generated by vertical track irregularities.” J. Sound Vib., 272(3–5), 937–965.
Suiker, S. J., Selig, E. T., and Frenkel, R. (2005). “Static and cyclic triaxial testing of ballast and subballast.” J. Geotech. Geoenviron. Eng., 131(6), 771–782.
Timoshenko, S. (1927). “Method of analysis of statical and dynamical stresses in rail.” Proc., 2nd Int. Congress for Applied Mechanics, Zürich, herausgegeben von E. Meissner (one vol.), Orell Füssli Verlag, Zürich und Leipzig, 407–420.
Woldringh, R. F., and New, B. M. (1999). “Embankment design for high speed trains on soft soils.” Geotechnical engineering for transportation infrastructure, Barends et al., eds., BalkemaRotterdam, 1703–1712.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 135Issue 5May 2009
Pages: 680 - 689

History

Received: Nov 6, 2007
Accepted: Aug 7, 2008
Published online: May 1, 2009
Published in print: May 2009

Permissions

Request permissions for this article.

Authors

Affiliations

Senior Geotechnical Engineer, SMEC Australia Pty. Ltd., 60 Leichhardt St., Spring Hill, QLD 4000, Australia; formerly, Research Fellow, Univ. of Southampton, Southampton SO17 1BJ, U.K. (corresponding author). E-mail: [email protected]
Professor of Geotechnical Engineering, School of Civil Engineering and the Environment, Univ. of Southampton, Highfield, Southampton, SO17 1BJ, U.K. E-mail: [email protected]
J. A. Priest [email protected]
Senior Research Fellow, School of Civil Engineering and the Environment, Univ. of Southampton, Highfield, Southampton SO17 1BJ, U.K., E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share