Abstract
The problems of existence of eigenoscillations in infinite cylindrical regions comprising a thin cylindrical obstacle are studied. The existence criteria for eigenoscillations are obtained. For obstacles allowing axial symmetry, the dependence of eigenoscillation frequencies on the obstacle dimensions is studied. The form of eigenoscillations is studied for the first modes.
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References
S. V. Sukhinin, “Eigenoscillations in open cylindrical regions,” in:Dynamics of Continuous Media (collected scientific papers) [in Russian], Novosibrisk,110, (1995), pp. 139–152.
S. V. Sukhinin, “Effect of a waveguide,”Prikl. Mekh. Tekh. Fiz., No. 2, 92–102 (1989).
M. Reed and B. Simon,Methods of Modern Mathematical Physics, Vol. IV, Academic Press (1978).
R. Mittra and S. W. Lee,Analytical Techniques in the Theory of Guided Waves, Macmillan (1971).
Additional information
Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Science, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 4, pp. 133–142, July–August, 1999.
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Sukhinin, S.V. Acoustic oscillations near a thin-walled cylindrical obstacle in a channel. J Appl Mech Tech Phys 40, 669–677 (1999). https://doi.org/10.1007/BF02468442
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DOI: https://doi.org/10.1007/BF02468442