Wave Propagation in an Infinite Track Having an Irregular Region

  • K. Abe
  • A. Kikuchi
  • K. Koro
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, volume 118)


This paper presents a numerical method for wave transmission through a periodic track having a disturbed region. The infinite track analysis is realized by attaching the transmitting boundaries at both ends of the finite sub-domain. To achieve this, an impedance matrix representing the transmitting boundary is constructed by utilizing eigenmodes for the transfer matrix of a unit cell. The developed method is applied to infinite tracks subjected to incident harmonic waves. Through numerical analyses, the influence of the stiffness of the pads on the wave transmission is examined. The relation between the transmittance and the band structure of track is also discussed.


Incident Wave Transfer Matrix Pass Band Wave Transmission Ground Vibration 


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  1. 1.
    Mead, D.J.: Free wave propagation in periodically supported infinite beams. Journal of Sound and Vibration 11(2), 181–197 (1970)CrossRefGoogle Scholar
  2. 2.
    Thompson, D.J.: Wheel-rail noise generation, Part III: Rail vibration. Journal of Sound and Vibration 161(3), 421–446 (1993)CrossRefGoogle Scholar
  3. 3.
    Abe, K., Fujishita, S., Koro, K.: Development of transmitting boundary for periodically supported rails. Journal of Mechanical Systems for Transportation and Logistics (JSME) 3(1), 44–52 (2010)CrossRefGoogle Scholar
  4. 4.
    Clouteau, D., Arnst, M., Al-Hussaini, T.M., Degrande, G.: Freefield vibrations due to dynamic loading on a tunnel embedded in a stratified medium. Journal of Sound and Vibration 283, 173–199 (2005)CrossRefGoogle Scholar
  5. 5.
    Caballero, D., Sánchez-Dehesa, J., Rubio, C., Mártinez-Sala, R., Sánchez-Pérez, J.V., Meseguer, F., Llinares, J.: Large two-dimensional sonic band gaps. Physical Review. E 60(6), 6316–6319 (1999)CrossRefGoogle Scholar
  6. 6.
    Chen, Y.-Y., Ye, Z.: Acoustic attenuation by two-dimensional arrays of rigid cylinders. Physical Review Letters 87(18), 184301 (2001)CrossRefGoogle Scholar
  7. 7.
    Duclos, G., Clément, A.H.: Wave propagation through arrays of unevenly spaced vertical piles. Ocean Engineering 31, 1655–1668 (2004)CrossRefGoogle Scholar
  8. 8.
    Delph, T.J., Herrmann, G., Kaul, R.K.: Harmonic wave propagation in a periodically layered, infinite elastic body: Antiplane strain. Journal of Applied Mechanics 45, 343–349 (1978)CrossRefGoogle Scholar

Copyright information

© Springer 2012

Authors and Affiliations

  • K. Abe
    • 1
  • A. Kikuchi
    • 2
  • K. Koro
    • 1
  1. 1.Niigata UniversityNishi-kuJapan
  2. 2.Toa Corporation

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