๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

VIBRATION MODE LOCALIZATION IN DISORDERED CYCLIC STRUCTURES, II: MULTIPLE SUBSTRUCTURE MODES

โœ Scribed by Wei-Chau Xie; S.T. Ariaratnam

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

No coin nor oath required. For personal study only.

โœฆ Synopsis

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 discrete dynamical system. The multiplicative ergodic theorem of Oseledec is applied to determine the Lyapunov exponents and the localization factors. As a second approach, the Green function formulation is extended to a block matrix system to determine the localization factors for disordered periodic structures.

๐Ÿ“œ SIMILAR VOLUMES

VIBRATION MODE LOCALIZATION IN DISORDERE
VIBRATION MODE LOCALIZATION IN DISORDERED CYCLIC STRUCTURES, I: SINGLE SUBSTRUCTURE MODE
โœ Wei-Chau Xie; S.T. Ariaratnam ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 637 KB

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