Critical velocity of a load moving on a beam supported by a foundation of finite depth

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Abstract

In this paper, the critical velocity of a uniformly moving load is analysed. It is assumed that the load is traversing an infinite beam supported by a finite depth foundation under plane strain condition. Analytical solution of the steady state deflection shape is derived. The critical velocity is then extracted by parametric analysis. Results obtained are compared with the previously published results of this author, where simplified plane models of the foundation were used. It is confirmed that there is an interaction between the beam and the foundation and thus the critical velocity is dependent on the mass ratio defined as the square root of the fraction of the foundation mass to the beam mass. For a low mass ratio, the critical velocity approaches the classical formula and for a higher mass ratio, it approaches the lowest wave-velocity of propagation in the foundation. There is only a small difference with respect to the previously published approximate formula for the critical velocity.

Original languageEnglish
Title of host publicationInsights and Innovations in Structural Engineering, Mechanics and Computation - Proceedings of the 6th International Conference on Structural Engineering, Mechanics and Computation (SEMC 2016)
EditorsA. Zingoni
PublisherCRC Press/Balkema
Pages2134-2137
Number of pages4
ISBN (Print)978-113802927-9
Publication statusPublished - 1 Jan 2016
Event6th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2016 - Cape Town, South Africa
Duration: 5 Sep 20167 Sep 2016

Conference

Conference6th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2016
CountrySouth Africa
CityCape Town
Period5/09/167/09/16

Keywords

  • Transverse vibration
  • Critical velocity
  • Active soil depth
  • Visco-elastic foundation
  • Hysteretic damping
  • Moving load

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