Table of Contents Author Guidelines Submit a Manuscript
Shock and Vibration
Volume 2014 (2014), Article ID 530131, 7 pages
http://dx.doi.org/10.1155/2014/530131
Research Article

Analytical Solution for the Sound Radiation Field of a Viscoelastically Supported Beam Traversed by a Moving Load

Center of Excellence in Railway Transportation, School of Railway Engineering, Iran University of Science and Technology, Tehran 16846-13114, Iran

Received 20 October 2012; Accepted 19 November 2012; Published 23 June 2014

Academic Editor: Abdolreza Ohadi

Copyright © 2014 Rezgar Shakeri and Davood Younesian. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. Hetenyi, in Beams on Elastic Foundations, vol. 16 of Scientific Series, The University of Michigan Press, University of Michigan Studies, Ann Arbor, Mich, USA, 1946.
  2. L. Andersen, S. R. K. Nielsen, and P. H. Kirkegaard, “Finite element modelling of infinite Euler beams on Kelvin foundations exposed to moving loads in convected co-ordinates,” Journal of Sound and Vibration, vol. 241, no. 4, pp. 587–604, 2001. View at Publisher · View at Google Scholar · View at Scopus
  3. D. Thambiratnam and Y. Zhuge, “Dynamic analysis of beams on an elastic foundation subjected to moving loads,” Journal of Sound and Vibration, vol. 198, no. 2, pp. 149–169, 1996. View at Publisher · View at Google Scholar · View at Scopus
  4. L. Fryba, Vibration of Solids and Structures Under Moving Loads, Thomas Telford, London, UK, 1999.
  5. J. T. Kenney, “Steady-state vibrations of beam on elastic foundation for moving load,” Journal of Applied Mechanics, vol. 21, pp. 359–364, 1954. View at Google Scholar
  6. M. H. Kargarnovin, D. Younesian, D. J. Thompson, and C. J. C. Jones, “Response of beams on nonlinear viscoelastic foundations to harmonic moving loads,” Computers and Structures, vol. 83, no. 23-24, pp. 1865–1877, 2005. View at Publisher · View at Google Scholar · View at Scopus
  7. M. H. Kargarnovin and D. Younesian, “Dynamics of Timoshenko beams on Pasternak foundation under moving load,” Mechanics Research Communications, vol. 31, no. 6, pp. 713–723, 2004. View at Publisher · View at Google Scholar · View at Scopus
  8. D. Younesian and M. H. Kargarnovin, “Response of the beams on random Pasternak foundations subjected to harmonic moving loads,” Journal of Mechanical Science and Technology, vol. 23, no. 11, pp. 3013–3023, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. G. Muscolino and A. Palmeri, “Response of beams resting on viscoelastically damped foundation to moving oscillators,” International Journal of Solids and Structures, vol. 44, no. 5, pp. 1317–1336, 2007. View at Publisher · View at Google Scholar · View at Scopus
  10. L. Andersen, S. R. K. Nielsen, and R. Iwankiewicz, “Vehicle moving along an infinite beam with random surface irregularities on a Kelvin foundation,” Journal of Applied Mechanics, Transactions ASME, vol. 69, no. 1, pp. 69–75, 2002. View at Publisher · View at Google Scholar · View at Scopus
  11. Y. Weitsman, “Onset of separation between a beam and a tensionless elastic foundation under a moving load,” International Journal of Mechanical Sciences, vol. 13, no. 8, pp. 707–711, 1971. View at Google Scholar · View at Scopus
  12. J. Choros and G. G. Adams, “Steadily moving load on an elastic beam resting on a tensionless winkler foundation,” Journal of Applied Mechanics, Transactions ASME, vol. 46, no. 1, pp. 175–180, 1979. View at Google Scholar · View at Scopus
  13. L. Lin and G. G. Adams, “Beam on tensionless elastic foundation,” Journal of Engineering Mechanics, vol. 113, no. 4, pp. 542–553, 1987. View at Google Scholar · View at Scopus
  14. M. Shamalta and A. V. Metrikine, “Analytical study of the dynamic response of an embedded railway track to a moving load,” Archive of Applied Mechanics, vol. 73, no. 1-2, pp. 131–146, 2003. View at Publisher · View at Google Scholar · View at Scopus
  15. C. R. Steele, “The Timoshenko beam with a moving Load,” Journal of Applied Mechanics, vol. 35, no. 3, pp. 481–488, 1968. View at Google Scholar
  16. Y.-H. Chen and Y.-H. Huang, “Dynamic stiffness of infinite Timoshenko beam on viscoelastic foundation in moving co-ordinate,” International Journal for Numerical Methods in Engineering, vol. 48, no. 1, pp. 1–18, 2000. View at Google Scholar · View at Scopus
  17. Y.-H. Chen and Y.-H. Huang, “Dynamic characteristics of infinite and finite railways to moving loads,” Journal of Engineering Mechanics, vol. 129, no. 9, pp. 987–995, 2003. View at Publisher · View at Google Scholar · View at Scopus
  18. Y. Yang and X. Ge, “A new method for vibration response of beam on foundation under moving load,” International Journal of Modern Physics B, vol. 22, no. 31-32, pp. 5615–5620, 2008. View at Google Scholar · View at Scopus
  19. A. D. Senalp, A. Arikoglu, I. Ozkol, and V. Z. Dogan, “Dynamic response of a finite length euler-bernoulli beam on linear and nonlinear viscoelastic foundations to a concentrated moving force,” Journal of Mechanical Science and Technology, vol. 24, no. 10, pp. 1957–1961, 2010. View at Publisher · View at Google Scholar · View at Scopus
  20. V. Z. Vlasov and U. N. Leont’ev, Beams, Plates and Shells on Elastic Foundations, Israel Program for Scientific Translations, Jerusalem, Israel, 1966.
  21. D. Basu and N. S. V. Kameswara Rao, “Analytical solutions for Euler-Bernoulli beam on visco-elastic foundation subjected to moving load,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 37, no. 8, pp. 945–960, 2013. View at Publisher · View at Google Scholar · View at Scopus
  22. S. S. Rao, Vibration of Continuous Systems, Wiley, New York, NY, USA, 2007.
  23. J. N. Reddy, Theory and Analysis of Elatic Plates and Shells, CRC Press, New York, NY, USA, 2007.
  24. F. Durbin, “Numerical inversion of laplace transforms: an efficient improvement to dubner and abate's method,” Computer Journal, vol. 17, no. 4, pp. 371–376, 1974. View at Google Scholar · View at Scopus
  25. S. M. Hasheminejad, R. Shakeri, and S. Rezaei, “Vibro-acoustic response of an elliptical plate-cavity coupled system to external shock loads,” Applied Acoustics, vol. 73, no. 8, pp. 757–769, 2012. View at Publisher · View at Google Scholar · View at Scopus
  26. F. T. K. Au and M. F. Wang, “Sound radiation from forced vibration of rectangular orthotropic plates under moving loads,” Journal of Sound and Vibration, vol. 281, no. 3–5, pp. 1057–1075, 2005. View at Publisher · View at Google Scholar · View at Scopus
  27. M. C. Junger and D. Feit, Sound, Structures and Interaction, MIT Press, Cambridge, Mass, USA, 1986.