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Shock and Vibration
Volume 19, Issue 5, Pages 995-1007
http://dx.doi.org/10.3233/SAV-2012-0706

Dynamic Response of a Beam Resting on a Nonlinear Foundation to a Moving Load: Coiflet-Based Solution

Piotr Koziol and Zdzislaw Hryniewicz

Department of Civil and Environmental Engineering, Koszalin University of Technology, Koszalin, Poland

Received 25 April 2012; Accepted 25 April 2012

Copyright © 2012 Hindawi Publishing Corporation. 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.

Citations to this Article [10 citations]

The following is the list of published articles that have cited the current article.

  • Hu Ding, Kangli Shi, Liqun Chen, and Shaopu Yang, “Adomian polynomials for nonlinear response of supported timoshenko beams subjected to a moving harmonic load,” Acta Mechanica Solida Sinica, vol. 27, no. 4, pp. 383–393, 2014. View at Publisher · View at Google Scholar
  • Hu Ding, Yan Yang, Li-Qun Chen, and Shao-Pu Yang, “Vibration of vehicle–pavement coupled system based on a Timoshenko beam on a nonlinear foundation,” Journal of Sound and Vibration, 2014. View at Publisher · View at Google Scholar
  • Ahmad Mamandi, and Mohammad H. Kargarnovin, “Nonlinear Dynamic Analysis of a Timoshenko Beam Resting on a Viscoelastic Foundation and Traveled by a Moving Mass,” Shock and Vibration, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • L.T. Si, Y. Zhao, Y.H. Zhang, and D. Kennedy, “A hybrid approach to analyse a beam-soil structure under a moving random load,” Journal of Sound and Vibration, 2016. View at Publisher · View at Google Scholar
  • Piotr Koziol, “Experimental validation of wavelet based solution for dynamic response of railway track subjected to a moving train,” Mechanical Systems and Signal Processing, 2016. View at Publisher · View at Google Scholar
  • Wlodzimierz Czyczula, Piotr Koziol, Dariusz Kudla, and Sergiusz Lisowski, “Analytical evaluation of track response in the vertical direction due to a moving load,” Journal of Vibration and Control, vol. 23, no. 18, pp. 2989–3006, 2016. View at Publisher · View at Google Scholar
  • Zhao, Wei, Liu, and Liang, “Dynamic characteristics of coupled vehicle-track-tunnel interaction system,” International Journal of Simulation Modelling, vol. 16, no. 4, pp. 658–669, 2017. View at Publisher · View at Google Scholar
  • Nicolae Herisanu, and Vasile Marinca, “Free Oscillations of Euler-Bernoulli Beams on Nonlinear Winkler-Pasternak Foundation,” Acoustics and Vibration of Mechanical Structures—AVMS-2017, vol. 198, pp. 41–48, 2017. View at Publisher · View at Google Scholar
  • Wlodzimierz Czyczula, Piotr Koziol, and Dorota Blaszkiewicz, “On the Equivalence between Static and Dynamic Railway Track Response and on the Euler-Bernoulli and Timoshenko Beams Analogy,” Shock and Vibration, vol. 2017, pp. 1–13, 2017. View at Publisher · View at Google Scholar
  • Piotr Koziol, “Analytical approximation of rail bending stress,” MATEC Web of Conferences, vol. 148, pp. 05002, 2018. View at Publisher · View at Google Scholar