Waves, normal modes and frequencies in periodic and near-periodic rods. Part II

Dong Li, Haym Benaroya

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


A systematic approach to the study of normal modes and frequencies of disordered periodic rods is presented within a new transfer matrix framework proposed earlier by the authors. The normal frequency structure and mode localization of multiply-disorder periodic rods are investigated. The Monte Carlo and the perturbation method are applied to study the effects of material parameter uncertainties on normal modes and frequencies of randomly-disordered periodic rods. Some intricate aspects are investigated statistically, and it is shown that for this strongly-coupled elastic system, multiple and/or random disorders lead to more localized modes in or near stop-bands in a more complex way. In addition, high frequency wave localization is a typical feature of such a strongly-coupled but randomly-disordered periodic rod system.

Original languageAmerican English
Pages (from-to)339-358
Number of pages20
JournalWave Motion
Issue number4
StatePublished - Dec 1994

ASJC Scopus subject areas

  • Modeling and Simulation
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Applied Mathematics


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