Vibration confinement phenomena in disordered, mono-coupled, multi-span beams

Djamel Bouzit, Christophe Pierre

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

The effects of small, periodicity-destroying irregularities on the dynamics of multi-span beams are examined. It is shown that minute deviations of the span lengths from an ideal value alter qualitatively the dynamic response by localizing vibrations and waves to small geometric regions. These confinement phenomena are studied over a wide frequency range for beams resting on simple supports and with variable interspan coupling. Approximations of the localization factor (the average rate of spatial exponential decay of the vibration amplitude) are derived by statistical perturbation methods and validated by Monte Carlo simulations. If the interspan coupling is strong, localization effects are weak and of no practical significance for most engineering structures. On the other hand, localization is severe for small interspan coupling. Confinement is also generally stronger near the edges of frequency passbands and increases nearly linearly with frequency from passband to passband. This means that strong localization occurs at high frequencies, even for large static coupling between spans. De-localization is also observed at very high frequencies.

Original languageEnglish
Title of host publicationMachinery Dynamics and Element Vibrations
Pages129-140
Number of pages12
StatePublished - 1991
Event1991 ASME Design Technical Conference presented at the 13th Biennial Conference on Mechanical Vibration and Noise - Miami, FL, USA
Duration: 22 Sep 199125 Sep 1991

Publication series

NameAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Volume36

Conference

Conference1991 ASME Design Technical Conference presented at the 13th Biennial Conference on Mechanical Vibration and Noise
CityMiami, FL, USA
Period22/09/9125/09/91

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