Analysis of Flexural Vibrations and Control of a Periodic Rail Track System

  • Conference paper
  • First Online:
Proceedings of 17th Symposium on Earthquake Engineering (Vol. 1) (SEE 2022)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 329))

Included in the following conference series:

Abstract

Vibrations generated from the passage of trains including that from metros often get transmitted to the adjacent structures including buildings. This problem is particularly serious in cities wherein the resulting vibrations can either cause structural issues or can lead to serious discomfort for the occupants. Also, wheel–rail interaction often produces unwanted noise which can affect the inhabitants of the buildings near to these tracks. Understanding the propagation behavior of vibrations in the rail and thereby to the adjacent structures is essential in order to efficiently control them. Thus, the propagation behavior of flexural wave in a typical rail is analyzed in the context of Floquet–Bloch theorem for periodic structures. The ensuing dispersion relations are validated using finite element models. Subsequently, two-degrees-of-freedom resonators are coupled with rail to tune the stop band characteristics. The targeted frequency ranges in the considered pass band are very efficiently controlled using these resonators. Further, the efficacy of this control strategy is assessed using a random Gaussian white noise loading in the time domain and comparing the resulting vibration transmission characteristics from the original rail with that of the rail embedded with the proposed resonators. This study helps to realize the propagation characteristics of flexural waves in rails and the design of passive control mechanisms to reduce the transmission of the resulting vibrations.

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

Access this chapter

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now
Chapter
EUR 29.95
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 213.99
Price includes VAT (Germany)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
EUR 267.49
Price includes VAT (Germany)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Remington, P.J.: Wheel/rail noise—part I: characterization of the wheel/rail dynamic system. J. Sound Vib. 46, 359–379 (1976)

    Article  Google Scholar 

  2. Wei, D., Wei, X., Liu, Y., Jia, L., Zhang, W.: The identification and assessment of rail corrugation based on computer vision. Appl. Sci. 9, 1–23 (2019)

    Article  Google Scholar 

  3. Ali, S.A.: Railway noise levels, annoyance and countermeasures in Assiut. Egypt. Appl. Acoust. 66, 105–113 (2005)

    Article  Google Scholar 

  4. Iqbal, M., Jaya, M.M., Bursi, O.S., Kumar, A., Ceravolo, R.: Flexural band gaps and response attenuation of periodic pi** systems enhanced with localized and distributed resonators. Sci. Rep. 10, 1–11 (2020)

    Article  Google Scholar 

  5. Liu, Z., et al.: Locally resonant sonic materials. Science 289, 1734–1736 (2000)

    Article  Google Scholar 

  6. Wu, Z., Liu, W., Li, F., Zhang, C.: Band-gap property of a novel elastic metamaterial beam with X-shaped local resonators. Mech. Syst. Signal Process. 134, 106357 (2019)

    Article  Google Scholar 

  7. Iqbal, M., Kumar, A.: Flexural vibration analysis and improvement of wave filtering capability of periodic pipes. In: Recent Trends in Wave Mechanics and Vibrations, WMVC 2022, Mechanisms and Machine Science, vol. 125, pp 1049–1058. Springer, Cham (2023)

    Google Scholar 

  8. Bao, H., Wu, C., Wang, K., Yan, B.: An enhanced dual-resonator metamaterial beam for low-frequency vibration suppression. J. Appl. Phys. 129, 095106 (2021)

    Article  Google Scholar 

  9. Qin, Q., Sheng, M., Guo, Z.: Low-frequency vibration and radiation performance of a locally resonant plate attached with periodic multiple resonators. Appl. Sci. 10, 2843 (2020)

    Article  Google Scholar 

  10. Iqbal, M., Kumar, A., Bursi, O.S.: Lateral flexural vibration reduction in a periodic pi** system enhanced with two-degrees-of-freedom resonators. Proc. Inst. Mech. Eng. L J. Mater. Des. Appl. 1, 1–11 (2021)

    Google Scholar 

  11. Iqbal, M., Kumar, A., and Bursi, O.S.: Vibration control of a periodic pi** system employing metamaterial concept. In: Proceedings of the 15th International Congress on Artificial Materials for Novel Wave Phenomena—Metamaterials, IEEE, pp 167–169 (2021)

    Google Scholar 

  12. Grassie, S.L., Gregory, R.W., Harrison, D., Johnson, K.: The dynamic response of railway track to high frequency vertical excitation. J. Mech. Eng. Sci. 220, 77–90 (1982)

    Article  Google Scholar 

  13. Wu, T.X., Thompson, D.J.: Analysis of lateral vibration behavior of railway track at high frequencies using a continuously supported multiple beam model. J. Acoust. Soc. Am. 106, 1369–1376 (1999)

    Article  Google Scholar 

  14. Iqbal, M., Kumar, A., Murugan Jaya, M., Bursi, O.S.: Flexural band gaps and vibration control of a periodic railway track. Sci. Rep. 11, 1–13 (2021)

    Article  Google Scholar 

  15. Wang, P., Yi, Q., Zhao, C., **ng, M.: Elastic wave propagation characteristics of periodic track structure in high-speed railway. JVC J. Vib. Control 25, 517–528 (2019)

    Article  MathSciNet  Google Scholar 

  16. Wu, T.X.: On the railway track dynamics with rail vibration absorber for noise reduction. J. Sound Vib. 309, 739–755 (2008)

    Article  Google Scholar 

  17. Liu, H.P., Wu, T.X.: The influences on railway rolling noise of a rail vibration absorber and wave reflections due to multiple wheels. Proc. Inst. Mech. Eng. F J. Rail Rapid Transit. 224, 227–235 (2010)

    Google Scholar 

  18. Lo, S., Ho, W., Cheung, C.: Rail damper composed of tuned mass damper and constrained layer adopted in non-symmetric rail. In: Noise and Vibration Mitigation for Rail Transportation Systems, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 150, pp 638–645. Springer, Cham (2021)

    Google Scholar 

  19. Ho, W., Wong, B., England, D.: Tuned mass damper for rail noise control. In: Noise and Vibration Mitigation for Rail Transportation Systems, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 118, pp 89–96. Springer, Tokyo (2012)

    Google Scholar 

  20. Clough, R.W., Penzien, J.: Dynamics of Structure. McGraw-Hill, New York (1975)

    MATH  Google Scholar 

  21. Iqbal, M., Kumar, A., Murugan Jaya, M., Bursi, O.S.: Vibration control of periodically supported pipes employing optimally designed dampers. Int. J. Mech. Sci. 234, 1–14 (2022)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohd Iqbal .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Iqbal, M., Kumar, A., Jaya, M.M. (2023). Analysis of Flexural Vibrations and Control of a Periodic Rail Track System. In: Shrikhande, M., Agarwal, P., Kumar, P.C.A. (eds) Proceedings of 17th Symposium on Earthquake Engineering (Vol. 1). SEE 2022. Lecture Notes in Civil Engineering, vol 329. Springer, Singapore. https://doi.org/10.1007/978-981-99-1608-5_18

Download citation

  • DOI: https://doi.org/10.1007/978-981-99-1608-5_18

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-1607-8

  • Online ISBN: 978-981-99-1608-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Navigation