Resonant properties of a nonlinear dissipative layer excited by a vibrating boundary: Q-factor and frequency response

Journal of the Acoustical Society of America

Volumn 117, Issue 2, 2005, Pages 601-612

  Enflo, B O ^a   Hedberg, C M ^b   Rudenko, O V ^b,c  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b BLEKINGE INSTITUTE OF TECHNOLOGY   (Sweden)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; OSCILLATIONS; RESONATORS; VIBRATIONS (MECHANICAL);

DISSIPATIVE MEDIA; MATHEIU FUNCTIONS; Q-FACTOR; SAWTOOTH-SHAPED MOTION;

ACOUSTIC WAVES;

ACOUSTICS; ARTICLE; CALCULATION; ENERGY; NONLINEAR SYSTEM; OSCILLATION; PRIORITY JOURNAL; VIBRATION; WAVEFORM;

EID: 13544260589     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1828548     Document Type: Article

References (37)

1. A. B. Coppens and A. A. Atchley, "Nonlinear standing waves in cavities," in Encyclopedia of Acoustics (Wiley, New York, 1997), pp. 237-246.
2. M. A. Ilhamov, R. G. Zaripov, R. G. Galiullin, and V. B. Repin, "Nonlinear oscillations of a gas in a tube," Appl. Mech. Rev. 49, 137-154 (1996).
3. O. V. Rudenko and S. I. Soluyan, Theoretical Foundations of Nonlinear Acoustics (Plenum, Consultants Bureau, New York, 1977).
4. M. F. Hamilton and D. T. Blackstock (eds.), Nonlinear Acoustics (Academic, San Diego, 1997).
5. V. B. Braginsky, V. P. Mitrofanov, and V. I. Panov, Systems with Small Dissipation (Chicago U.P., Chicago, 1985).
6. C. C. Lawrenson, B. Lipkens, T. S. Lucas, D. K. Perkins, and T. W. van Doren, "Measurement of macroscopic standing waves in oscillating closed cavities," J. Acoust. Soc. Am. 104, 623-636 (1998).
7. V. V. Kaner, O. V. Rudenko, and R. V. Khokhlov, "Theory of nonlinear oscillations in acoustic resonators," Sov. Phys. Acoust. 23, 432-437 (1977).
8. V. V. Kaner, A. A. Karabutov, and O. V. Rudenko, "Nonlinear effects in acoustical resonators," in Nonlinear Acoustics (Institute of Applied Physics Edition, Gorki, 1980) (in Russian), pp. 135-140.
9. W. Chester, "Resonant oscillations in closed tubes," J. Fluid Mech. 18, 44-66 (1964).
10. S. Temkin, "Propagating and standing sawtooth waves," J. Acoust. Soc. Am. 45, 224-227 (1969).
11. V. E. Gusev, "Buildup of forced oscillations in acoustic resonator," Sov. Phys. Acoust. 30, 121-125 (1984).
12. O. V. Rudenko, C. M. Hedberg, and B. O. Enflo, "Nonlinear standing waves in a layer excited by periodic motion of its boundary," Acoust. Phys. 47, 452-460 (2001).
13. V. P. Kuznetsov, "Equations of nonlinear acoustics," Sov. Phys. Acoust. 16, 467-470 (1971).
14. C. Nyberg, "Spectral analysis of a two frequency driven resonance in a closed tube," Acoust. Phys. 45, 86-93 (1999).
15. V. V. Kaner and O. V. Rudenko, "Propagation of waves of finite amplitude in acoustic waveguides," Moscow Univ. Phys. Bull. 33(4), ■-■ (1978).
16. M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov, Theory of Waves, 2nd edition (Nauka, Moscow, 1990) (in Russian).
17. A. A. Karabutov and O. V. Rudenko, "Nonlinear plane waves excited by volume sources in a medium moving with transonic velocity," Sov. Phys. Acoust. 25, 306-309 (1980).
18. B. K. Novikov, O. V. Rudenko, and V. I. Timoshenko, Nonlinear Underwater Acoustics (American Institute of Physics, New York, 1987).
19. V. E. Gusev and A. A. Karabutov, Laser Optoacoustics (American Institute of Physics, New York, 1993).
20. O. V. Rudenko and A. V. Shanin, "Nonlinear phenomena accompanying the development of oscillations excited in a layer of a linear dissipative medium by finite displacements of its boundary," Acoust. Phys. 46, 334-341 (2000).
21. O. V. Rudenko, "Feasibility of generation of high-power hypersound with the aid of laser radiation," JETP Lett. 20, 203-204 (1974).
22. A. A. Karabutov, E. A. Lapshin, and O. V. Rudenko, "Interaction between light waves and sound under acoustic nonlinearity conditions," Sov. Phys. JETP 44, 58-63 (1976).
23. M. Abramovitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970).
24. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, London, 1959).
25. B. O. Enflo, "Saturation of nonlinear spherical and cylindrical sound waves," J. Acoust. Soc. Am. 99, 1960-1964 (1996).
26. M. Van Dyke, Perturbation Methods in Fluid Mechanics (Parabolic, Stanford, CA, 1975).
27. Yu. R. Lapidus and O. V. Rudenko, "New approximations and results of the theory of nonlinear acoustic beams" Sov. Phys. Acoust. 30, 473-476 (1984).
28. O. V. Rudenko, "Interactions of intense noise waves," Sov. Phys. Usp. 29(7), 620-641 (1986).
29. L. K. Zarembo, O. Yu. Serdobol'skaya, and I. P. Chernobai, "Effect of phase shifts accompanying the boundary reflection on the nonlinear interaction of longitudinal waves in solids," Sov. Phys. Acoust. 18, 333-338 (1972).
30. R. Ladbury, "Ultrahigh-energy promise new technologies," Phys. Today 51, 23-24 (1998).
31. Y. A. Ilinskii, B. Lipkens, T. S. Lucas, T. W. Van Doren, and E. A. Zabolotskaya, "A theoretical model of nonlinear standing waves in an oscillatory closed cavity," J. Acoust. Soc. Am. 104, 623-636 (1998).
32. O. V. Rudenko, "On the problem of artificial nonlinear media with resonance absorbers," Sov. Phys. Acoust. 29, 234-237 (1983).
33. O. V. Rudenko, "Nonlinear acoustics: progress, prospects and problems," Priroda (Nature) 7, 16-26 (1986).
34. V. G. Andreev, V. E. Gusev, A. A. Karabutov, O. V. Rudenko, and O. A. Sapoznikov, "Enhancement of Q-factor of a nonlinear acoustic resonator by a selectively absorbing mirror," Sov. Phys. Acoust. 31, 162-163 (1985).
35. V. A. Khokhlova, S. S. Kashcheeva, M. A. Averkiou, and L. A. Crum, "Effect of selective absorption on nonlinear interactions in high intesity acoustic beams," in Nonlinear Acoustics at the Turn of the Millennium, Proceedings of ISNA 15, edited by W. Lauterborn and T. Kurz, AIP Conf. Proc. 524, 151-154 (2000).
36. O. V. Rudenko, A. L. Sobisevich, L. E. Sobisevich, and C. M. Hedberg, "Enhancement of energy and β-factor of a nonlinear resonator with an increase in its losses," Dokl. Phys. 47, 330-333 (2002).
37. O. V. Rudenko, "Nonlinear oscillations of linearly deformed medium in a closed resonator excited by finite displacements of its boundary," Acoust. Phys. 45, 351-356 (1999).