Eigenfrequencies of a two-mass oscillator uniformly moving along a string on a visco-elastic foundation

H. Kruse, K Popp, A. V. Metrikine

Research output: Contribution to journalArticleScientificpeer-review

11 Citations (Scopus)

Abstract

The eigenfrequencies of a two-mass oscillator moving uniformly along a string on a visco-elastic foundation are analysed. It is shown that in the case of purely elastic foundation, the oscillator has either one or two real positive eigenfrequencies dependent on the system parameters. Taking into account the viscosity of the foundation, the complex eigenfrequencies of the oscillator are investigated. The study shows that eigenfrequencies, which are related to attenuating vibrations of the oscillator, are not uniquely determined. It is found that the existence of an eigenfrequency ω = ω0 + iδ with a small imaginary part δ «ω0 is not a sufficient condition for resonance under an external force P exp (iω0t).

Original languageEnglish
Pages (from-to)103-116
Number of pages14
JournalJournal of Sound and Vibration
Volume218
Issue number1
DOIs
Publication statusPublished - 19 Nov 1998
Externally publishedYes

Fingerprint Dive into the research topics of 'Eigenfrequencies of a two-mass oscillator uniformly moving along a string on a visco-elastic foundation'. Together they form a unique fingerprint.

Cite this