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Infinite Beams as Models of Track Transient Vibrations

[+] Author Affiliations
Bogdan Sowinski, Jozef Drozdziel

Warsaw University of Technology

Paper No. IMECE2004-60918, pp. 59-65; 7 pages
  • ASME 2004 International Mechanical Engineering Congress and Exposition
  • Rail Transportation
  • Anaheim, California, USA, November 13 – 19, 2004
  • Conference Sponsors: Rail Transportation Division
  • ISBN: 0-7918-4719-5 | eISBN: 0-7918-4178-2, 0-7918-4179-0, 0-7918-4180-4
  • Copyright © 2004 by ASME


In the paper, an attempt to build solution of transient vibrations of railway track is presented. Excitations in this system generated by track structure, treated roughly as periodic ones, are often disturbed by track transient imperfections. Obtained solutions are based on Ritz-Galerkin method and then on Hermite’s polynomials application to the problem. Such a model doesn’t require a lot of computing and can be easily adapted e.g. for nonlinear track model. Our approach can take continuous foundation of Winkler or Pasternak layer type, or discrete rail support. For discrete not equi-spaced supports only finite number of them is considered. As the starting point for that solution, the response to Dirac’s impulse is employed. The method described in the paper is relatively efficient (beyond the resonances and near them) to analyse of infinite beams resting on continuous or discrete foundation, even with nonlinear characteristics.

Copyright © 2004 by ASME
Topics: Vibration



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