Localization of vibration in disordered multi-span beams with damping

Djamel Bouzit, Christophe Pierre

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

4 Scopus citations

Abstract

The combined effects of disorder and structural 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 publicationStructural Dynamics of Large Scale and Complex Systems
EditorsMo Shahinpoor, H.S. Tzou
Pages43-57
Number of pages15
StatePublished - 1993
Event14th Biennial Conference on Mechanical Vibration and Noise - Albuquerque, NM, USA
Duration: 19 Sep 199322 Sep 1993

Publication series

NameAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Volume59

Conference

Conference14th Biennial Conference on Mechanical Vibration and Noise
CityAlbuquerque, NM, USA
Period19/09/9322/09/93

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