Wave localization and conversion phenomena in multi-coupled multi-spin beams
type: Item
instance of: scholarly article
title: Wave localization and conversion phenomena in multi-coupled multi-spin beams
zbMATH Open document ID: 0981.74027
DOI: 10.1016/S0960-0779(99)00079-X
author: Djamel Bouzit
author: C. Pierre
published in: Chaos, Solitons and Fractals
publication date: 2001-07-17T00:00:00Z
review text: The authors consider the localization phenomenon in disordered multi-coupled multi-infinite beam resting on flexible springs, the individual spans possess two degrees of freedom at each end. This means that the beam is bi-coupled, and thus the beam motion is composed of two independent waves. The distances between the supports may be identical or various, and then we have ordered or disordered multi-span beam. The authors study the effect of slight randomness in the support spacing on the dynamics of the beam. The vibration localization and energy transfer between the waves are analysed, and the localization factors, or Lyapunov exponents, that describe the spatial decay, are computed using three different methods. The results of calculations are compared.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 37N15
zbMATH DE Number: 1487109
zbMATH Keywords: disordered multi-coupled multi-infinite beam
zbMATH Keywords: flexible spring
zbMATH Keywords: randomness in support spacing
zbMATH Keywords: energy transfer
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: spatial decay
zbMATH Keywords: wave localization
reviewed by: Irina Alexandrovna Bolgrabskaya
MaRDI profile type: Publication
cites work: Q3689918
cites work: Lyapunov exponents and localization phenomena in multi-coupled nearly periodic systems
cites work: Wave propagation and natural modes in periodic systems: II. Multi-coupled systems, with and without damping
cites work: A new method of analyzing wave propagation in periodic structures; Applications to periodic timoshenko beams and stiffened plates
cites work: Determining Lyapunov exponents from a time series
description: scientific article; zbMATH DE number 1487109