Summary
Track dynamic behaviour is important for the prediction of the rolling noise, corrugation growth and track damage. Various models have been developed in the literature but problems still remain. On the one hand, analytical models become insufficient because of the need to include cross-section deformation at high frequencies. On the other hand, FE models are straightforward but the truncation of the infinite length is unavoidable. A new tapered plate rail model is developed in this paper. This model takes into account all the main motions required for frequencies below 7 kHz. The rail head is represented by a rectangular beam, the web by a plate of constant thickness and the foot by a plate of variable thickness. The out-of-plane and in-plane motions of the plates are approximated using cubic and linear functions, respectively, based on the relevant wave speeds. Freely propagating waves in the rail are studied by means of Hamilton’s principle. Comparing the results in terms of the dispersion relations, the tapered plate rail model shows good agreement with an FE model. Comparison with simpler beam models confirms the improvements at high frequencies due to the taper of the foot.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Thompson, D.J.: Railway Noise and Vibration. In: Mechanisms, Modelling and Means of Control, p. 506. Elsevier Science, Oxford (2008)
Thompson, D.J.: Wheel-rail noise: theoretical modelling of the generation of vibrations, PhD thesis, University of Southampton (1990)
Grassie, S.L., Gregory, R.W., Harrison, D., Johnson, K.L.: Dynamic response of railway track to high frequency vertical excitation. Journal of Mechanical Engineering Science 24(2), 77–90 (1982)
Thompson, D.J.: Wheel-rail noise generation, Part III: Rail vibration. Journal of Sound and Vibration 161(3), 421–446 (1993)
Knothe, K., Strzyzakowski, Z., Willner, K.: Rail vibrations in the high frequency range. Journal of Sound and Vibration 169(1), 111–123 (1994)
Gavric, L.: Computation of propagative waves in free rail using a finite element technique. Journal of Sound and Vibration 185(3), 531–543 (1995)
Gry, L.: Dynamic modelling of railway track based on wave propagation. Journal of Sound and Vibration 195(3), 477–505 (1996)
Wu, T.X., Thompson, D.J.: A double Timoshenko beam for vertical vibration analysis of railway track at high frequencies. Journal of Sound and Vibration 224(2), 329–348 (1999)
Wu, T.X., Thompson, D.J.: Analysis of lateral vibration behavior of railway track at high frequencies using a continuously supported multiple beam model. Journal of the Acoustical Society of America 106(31), 1369–1376 (1999)
Bhaskar, A., Johnson, K.L., Wood, G.D., Woodhouse, J.: Wheel-rail dynamics with closely conformal contact. Part 1: Dynamic modelling and stability analysis. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 211(1), 11–24 (1997)
Yang, J.: Dynamic models of railway track at high frequency. MSc Thesis, ISVR, University of Southampton (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer
About this paper
Cite this paper
Yang, J., Thompson, D., Bhaskar, A. (2012). Dynamic Models of Railway Track Taking Account of Cross-Section Deformation at High Frequency. In: Maeda, T., et al. Noise and Vibration Mitigation for Rail Transportation Systems. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 118. Springer, Tokyo. https://doi.org/10.1007/978-4-431-53927-8_15
Download citation
DOI: https://doi.org/10.1007/978-4-431-53927-8_15
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-53926-1
Online ISBN: 978-4-431-53927-8
eBook Packages: EngineeringEngineering (R0)