Instability of vibrations of a mass moving uniformly along an axially compressed beam on a viscoelastic foundation

A. V. Metrikine, H. A. Dieterman

Research output: Contribution to journalArticleScientificpeer-review

60 Citations (Scopus)

Abstract

The uniform motion of a mass along an axially compressed Euler-Bernoulli beam on a viscoelastic foundation is investigated. It is assumed that the mass is subjected to a constant vertical load and that the beam and mass are in continuous contact. The velocity of the mass after which the vibrations of the system are unstable is found. The instability implies that the amplitude of the mass vibrations is growing exponentially and that the problem does not have a steady state solution. It is shown that the instability starts at lower velocities as the compresional force increases. The instability occurs even for over-critical viscosities of the foundation when there is no dynamical amplification of the steady state vibrations due to resonance.

Original languageEnglish
Pages (from-to)567-576
Number of pages10
JournalJournal of Sound and Vibration
Volume201
Issue number5
DOIs
Publication statusPublished - 17 Apr 1997
Externally publishedYes

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