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VIBRATION MODE LOCALIZATION IN DISORDERED CYCLIC STRUCTURES, I: SINGLE SUBSTRUCTURE MODE

✍ Scribed by Wei-Chau Xie; S.T. Ariaratnam

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
637 KB
Volume
189
Category
Article
ISSN
0022-460X

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✦ Synopsis

Vibration mode localization in disordered cyclic structures is studied. The equations of motion of a wrap-rib antenna are formulated. Only a single substructure mode is taken for each rib. The localization factors which characterize the exponential rates at which the vibration amplitudes grow (decay) are determined by two approaches. The first approach uses a transfer matrix formulation and Furstenberg's theorem on asymptotic properties of products of random matrices. The second method employs a Green function formulation.

πŸ“œ SIMILAR VOLUMES

VIBRATION MODE LOCALIZATION IN DISORDERE
VIBRATION MODE LOCALIZATION IN DISORDERED CYCLIC STRUCTURES, II: MULTIPLE SUBSTRUCTURE MODES
✍ Wei-Chau Xie; S.T. Ariaratnam πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 508 KB

Vibration mode localization in disordered cyclic periodic structures with multiple substructure modes is studied. The localization factor characterizing the exponential rate of growth or decay of the amplitudes of vibration is related to the smallest positive Lyapunov exponent of the corresponding d