Predicting localization phenomena via lyapunov exponent statistics

Matthew P. Castanier, Christophe Pierre

Research output: Contribution to conferencePaperpeer-review

Abstract

Lyapunov exponents can be used to analyze localization in a disordered system for which the system's transfer matrix is known. Lyapunov exponents provide a measure of the exponential spatial amplitude decay of the various wave types. However, this decay may be due to several mechanisms. In this work, the standard deviations of the Lyapunov exponents are shown to predict frequency regions where the decay is due to localization, as opposed to off-resonance or dissipation. In this way, critical frequency regions where increased vibration amplitudes may occur can be systematically identified. The covariance of the Lyapunov exponents is also considered, and proposed as an indicator of wave conversion.

Original languageEnglish
Pages316-323
Number of pages8
DOIs
StatePublished - 1996
EventAIAA Dynamics Specialists Conference, 1996 - Salt Lake City, United States
Duration: 18 Apr 199619 Apr 1996

Conference

ConferenceAIAA Dynamics Specialists Conference, 1996
Country/TerritoryUnited States
CitySalt Lake City
Period18/04/9619/04/96

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