Characterization by a time-frequency method of classical waves propagation in one-dimensional lattice: Effects of the dispersion and localized nonlinearities

Acta Acustica united with Acustica

Volumn 88, Issue 6, 2002, Pages 934-941

  Richoux, O ^a   Depollier, C ^a   Hardy, J ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION (WAVES); HARMONIC ANALYSIS; LATTICE CONSTANTS; RESONATORS; SPECTRUM ANALYSIS;

LOCALIZED NONLINEARITIES;

ACOUSTIC WAVE PROPAGATION;

EID: 0036872454     PISSN: 14367947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. H. Levine: Unidirectional wave motion. North Holland Publisher Company, New York, 1978.
2. F. J. Dyson: The dynamics of a disordered linear chain. Phys. Rev. 92(6) (1953) 1331-1338.
3. N. Sugimoto: Dispersion characteristics of sound waves in a tunnel with an array of Helmholtz resonators. J. Acoust. Soc. Am. 97(3) (1994) 1446-1459.
4. J. M. Ziman: Models of disorder. Cambridge university press, 1978.
5. F. Bloch: Der quantenmechanik electronishen. Z. Physik 55 (1928) 555.
6. P. W. Anderson: Absence of diffusion in certain random lattice. Phys. Rev. 109 (1958) 1492-1505.
7. V. I. Ossedelec: A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19 (1968) 197-230.
8. J. M. Luck: Systèmes désordonnés unidimensionnels. Collection Alea, Saclay, 1999.
9. O. V. Rudenko, K. L. Khirnykh: Helmholtz resonator model for the absorption of high-intensity sound. Sov. Phys. Acoust. 36(3) (1990) 293-297.
10. R. R. Boullosa, F. O. Bustamante: The reaction force on a Helmholtz resonator driven at high sound pressure amplitudes. Am. J. Phys. 60(8) (1992) 722-726.
11. S. Dequand: Duct aeroacoustics: from technicological applications to the flute. Dissertation. Technische Universiteit Eindhoven TU/e and Université du Maine, 2001.
12. L. Cohen: Time frequency analysis. Englewood Cliffs (N. J.), Prentice Hall, 1995.
13. W. Mecklenbräuker, F. Hlawatsch: The Wigner distribution: Theory and applications in signal processing, editors Elsevier, Amsterdam, 1997.
14. D. Gabor: Theory of communication. Proc. IEEE 93(3) (1946) 429-457.
15. A. V. Oppenheim, R. W. Schafer: Discret-time signal processing. Prentice Hall signal processing series, 1999.
16. C. E. Bradley: Acoustic Bloch wave propagation in a periodic waveguide. Diploma Thesis. The University of Texas, Austin, 1990.
17. O. Richoux, C. Depollier, G. Gonon. in preparation.
18. O. Richoux: Etude de la propagation des ondes mécaniques dans un réseau unidimensionnel comportant du désordre et/ou des non-linéarités localisées. Dissertation. Université du Maine, Le Mans, 1999.