Acoustic solitary waves in a tunnel with an array of Helmholtz resonators

Journal of the Acoustical Society of America

Volumn 99, Issue 4 I, 1996, Pages 1971-1976

  Sugimoto, N ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; NONLINEAR SYSTEM; OSCILLATION; PRIORITY JOURNAL; SHOCK WAVE; SOUND TRANSMISSION;

EID: 0029898064     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.415383     Document Type: Article

References (10)

1. By the soliton, we mean a solitary wave as the steady-wave solution to the Korteweg-de Vries equation.
2. N. Sugimoto, "Propagation of nonlinear acoustic waves in a tunnel with an array of Helmholtz resonators," J. Fluid Mech. 244, 55-78 (1992).
3. N. Sugimoto, "Shock-free tunnel' for future high-speed trains," in Proceedings of the International Conference on Speed-Up Technology for Railway and Maglev Vehicles (Japanese Society of Mechanical Engineers, Tokyo, 1993), Vol. 2, pp. 284-292.
4. N. Sugimoto, "On generation of acoustic soliton," in Advances in Non-linear Acoustics, edited by H. Hobaek (World Scientific, Singapore, 1993), pp. 545-560.
5. N. Sugimoto, "The generation of an acoustic soliton and soliton tube," Proc. Estonian Acad. Sci. Phys. Math. 44, 56-72 (1995).
6. C. E. Bradley, "Acoustic Bloch wave propagation in a periodic wave-guide," Tech. Rep. of Applied Research Laboratories, ARL-TR-91-19 (July), The University of Texas at Austin (1991).
7. N. Sugimoto and T. Horioka, "Dispersion characteristics of sound waves in a tunnel with an array of Helmholtz resonators," J. Acoust. Soc. Am. 97, 1446-1459 (1995).
8. C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1976), 5th ed.
9. r, and β. Note that κ in (2.28) is misprinted and is to be corrected as K.
10. P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Scientists (Springer-Verlag, Berlin, 1971).