Wave localization and conversion phenomena in multi-coupled multi-span beams

Chaos, solitons and fractals

Volumn 11, Issue 10, 2000, Pages 1575-1596

  Bouzit, Djamel ^a   Pierre, Christophe ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELASTIC MODULI; LYAPUNOV METHODS; MATRIX ALGEBRA; VECTORS; VIBRATIONS (MECHANICAL);

MONOCOUPLED PERIODIC SYSTEM; MULTICOUPLED MULTISPAN BEAM; WAVE LOCALIZATION;

BEAMS AND GIRDERS;

EID: 0033876645     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(99)00079-X     Document Type: Article

References (11)

1. Bougerol P., Lacroix J. Product of random matrices with application to Schrödinger operators. 1985;Birkhäuser, Boston.
2. Bouzit D., Pierre C. Vibration confinement phenomena in disordered mono-coupled multi-span beams. ASME J Vibration Acoustics. 114(4):1992;521-530.
3. Castanier M.P., Pierre C. Lyapunov exponents and localization phenomena in multi-coupled nearly-periodic systems. J Sound Vibration. 183(3):1995;493-515.
4. Chen WJ, Pierre, C. Vibration localization and wave conversion phenomena in a multi-coupled, nearly periodic, disordered truss beam. AIAA paper No. 92-2115, 1992.
5. Kissel G.J. Localization factor for multichannel disordered systems. Phys Rev A. 44(2):1991;1008-1014.
6. Mead D.J. Wave propagation and natural modes in periodic systems: II multi-coupled systems with and without damping. J Sound Vibration. 40(1):1975;19-39.
7. Mead D.J. A new method of analyzing wave propagation in periodic structures; applications to periodic timoshenko beams and stiffened plates. J Sound Vibration. 104(1):1986;9-27.
8. Pierre C., Tang D.M., Dowell E.H. Localized vibrations of disordered multi-span beams: theory and experiment. AIAA J. 25(9):1987;1249-1257.
9. Signorelli J., von Flotow A.H. Wave propagation, power flow, and resonance in a truss beam. J Sound Vibration. 126(3):1988;433-450.
10. Wolf A, Swift BJ, Swinney LH, Vastano, AJ. Determining Lyapunov exponents from a time series. Physica 1985;16D:285-317.
11. Pierre C., Castanier M.P., Chen W.-J. Wave localization in multi-coupled periodic structures: application to truss beams. ASME Appl Mech Rev. 49(2):1996;65-86.