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

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

In this paper, a new formula for the critical velocity of a uniformly moving load is derived. It is assumed that the load is traversing a beam supported by a foundation of a finite depth. Simplified plane models of the foundation are presented for the analysis of finite and infinite beams, respectively. Regarding the model for finite beams, only the vertical dynamic equilibrium is considered. Then the critical velocity obeys the classical formula with an augmented mass that adds 50% of the foundation mass to the beam mass. In the model for infinite beams, the effect of shear is added in a simplified form and then 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 velocity of propagation of shear waves in the foundation. The formula can also account for the effect of the normal force acting on the beam. Deflection shapes of the beam are obtained semi-analytically and the influence of different types of damping is discussed.

Original languageEnglish
Pages (from-to)325-342
Number of pages18
JournalJournal of Sound and Vibration
Volume366
DOIs
Publication statusPublished - 31 Mar 2016

Keywords

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

Fingerprint Dive into the research topics of 'Critical velocity of a uniformly moving load on a beam supported by a finite depth foundation'. Together they form a unique fingerprint.

Cite this