vibration mode localization in disordered cyclic structures, II: Multiple substructure modes

Journal of Sound and Vibration

Volumn 189, Issue 5, 1996, Pages 647-660

  Xie, Wei Chau ^a   Ariaratnam, S T ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

FLEXIBLE STRUCTURES; GREEN'S FUNCTION; LYAPUNOV METHODS; MATRIX ALGEBRA; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

DISORDERED CYCLIC STRUCTURES; LOCALIZATION FACTORS; LYAPUNOV EXPONENTS; MULTIPLE SUBSTRUCTURE MODE; OSELEDEC'S MULTIPLICATIVE ERGODIC THEOREM; VIBRATION MODE LOCALIZATION; WRAP RIB DISH ANTENNA;

ANTENNAS;

EID: 0030574644     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0041     Document Type: Article

References (6)

1. WEI-CHAU XIE and S. T. ARIARATNAM 1996 Journal of Sound and Vibration 189, 625-645. Vibration mode-localization in disordered cyclic structures, I: single substructure mode.
2. H. FURSTENBERG 1963 Transactions of the American Mathematical Society 108(3), 377-428. Noncommuting random products.
3. Y.I. OSELEDEC 1968 Transactions of the Moscow Mathematical Society 19, 197-231. A multiplicative ergodic theorem: Lyapunov characteristic number of dynamical systems (English translation).
4. P. BOUGEROL and J. LACROIX 1985 Products of Random Matrices with Applications to Schrödinger Operators. Boston: Birkhäuser.
5. G. BENETTIN, L. GALGANI, A. GIRORGILLI and J.-M. STRELEYN 1980 Meccanica 15, 9-30. Lyapunov characteristic exponents for dynamical systems and for Hamiltonian systems: a method for computing all of them.
6. A. WOLF, J. SWIFT, H. SWINNEY and A. VASTANO 1985 Physica D 16, 285-317. Determining Lyapunov exponents from a time series.