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 language | English |
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Pages | 316-323 |
Number of pages | 8 |
DOIs | |
State | Published - 1996 |
Event | AIAA Dynamics Specialists Conference, 1996 - Salt Lake City, United States Duration: 18 Apr 1996 → 19 Apr 1996 |
Conference
Conference | AIAA Dynamics Specialists Conference, 1996 |
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Country/Territory | United States |
City | Salt Lake City |
Period | 18/04/96 → 19/04/96 |