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

Djamel Bouzit, Christophe Pierre

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

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 publication13th Biennial Conference on Mechanical Vibration and Noise
Subtitle of host publicationMachinery Dynamics and Element Vibrations
Pages129-140
Number of pages12
ISBN (Electronic)9780791806272
DOIs
StatePublished - 1991
EventASME 1991 Design Technical Conferences, DETC 1991 - Miami, United States
Duration: 22 Sep 199125 Sep 1991

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
VolumePart F168436-3

Conference

ConferenceASME 1991 Design Technical Conferences, DETC 1991
Country/TerritoryUnited States
CityMiami
Period22/09/9125/09/91

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