Vibration localization in band-wheel systems: Theory and experiment

A. A.N. Al-Jawi, A. G. Ulsoy, C. Pierre

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20 Scopus citations

Abstract

An investigation of the localization phenomenon in band-wheel systems is presented. The effects of tension disorder, inter-span coupling and translation speed on the confinement of the natural modes of free vibration are investigated both theoretically and experimentally. Two models of the band-wheel system dynamics are discussed; a simple model proposed by the authors [1] and a more complete model originally proposed by Wang and Mote [9]. The results obtained using the simple inter-span coupling model reveal phenomena (i.e., eigenvalue crossings and veerings and associated mode localization) that are qualitatively similar to those featured by the more complex model of inter-span coupling, thereby confirming the usefulness of the simple coupling model. The analytical predictions of the two models are validated by an experiment. A very good agreement between the experimental results and the theoretical ones for the simple model is observed. While both the experimental observations and the theoretical predictions show that a beating phenomenon takes place for ordered stationary and axially moving beams, beating is destroyed (indicating the occurrence of localization) when any small tension disorder is introduced, especially for small inter-span coupling (i.e., when localization is strongest).

Original languageEnglish
Pages (from-to)289-312
Number of pages24
JournalJournal of Sound and Vibration
Volume179
Issue number2
DOIs
StatePublished - 1 Dec 1995

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