Localization of vibration in disordered multi-span beams with damping

Djamel Bouzit, Christophe Pierre

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

1 Scopus citations

Abstract

The combined effects of disorder and structured damping on the dynamics of a multi-span beam with slight randomness in the spacing between supports are investigated. A wave transfer matrix approach is chosen to calculate the free and forced harmonic responses of this nearly periodic structure. It is shown that both harmonic waves and normal modes of vibration that extend throughout the ordered, undamped beam become spatially attenuated if either small damping or small disorder is present in the system. The physical mechanism which causes this attenuation, however, is one of energy dissipation in the case of damping but one of energy confinement in the case of disorder. The corresponding rates of spatial exponential decay are estimated by applying statistical perturbation methods. It is found that the effects of damping and disorder simply superpose for a multi-span beam with strong interspan coupling, but interact less trivially in the weak coupling case. Furthermore, the effect of disorder is found to be small relative to that of damping in the case of strong interspan coupling, but of comparable magnitude for weak coupling between spans. The adequacy of the statistical analysis to predict accurately localization in finite disordered beams with boundary conditions is also examined.

Original languageEnglish
Title of host publication14th Biennial Conference on Mechanical Vibration and Noise
Subtitle of host publicationStructural Dynamics of Large Scale and Complex Systems
Pages43-57
Number of pages15
ISBN (Electronic)9780791811764
DOIs
StatePublished - 1993
EventASME 1993 Design Technical Conferences, DETC 1993 - Albuquerque, United States
Duration: 19 Sep 199322 Sep 1993

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
VolumePart F167972-8

Conference

ConferenceASME 1993 Design Technical Conferences, DETC 1993
Country/TerritoryUnited States
CityAlbuquerque
Period19/09/9322/09/93

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