×

Focusing of radiation from a source of longitudinal waves, located on a free surface. (English. Russian original) Zbl 1272.76226

J. Appl. Mech. Tech. Phys. 52, No. 2, 178-185 (2011); translation from Prikl. Mekh. Tekh. Fiz. 52, No. 2, 27-35 (2011).
Summary: Propagation of waves from a source located on a free surface inside a circular conical horn is studied within the framework of a three-dimensional axisymmetric acoustic approximation. The horn axis is assumed to be orthogonal to the free surface. The influence of the horn geometry on the efficiency of radiation focusing in an arbitrary circular cone is studied. Criteria, objective functions, and control parameters for efficiency estimations and horn optimization are proposed. A method of optimizing the radiating system consisting of the source on the free surface and the horn on the basis of the problem geometry is developed. Geometric parameters ensuring the best focusing of radiation of the source-horn system in a circular cone for an arbitrary transmission angle are determined.

MSC:

76Q05 Hydro- and aero-acoustics
Full Text: DOI

References:

[1] V. S. Yurkovskii, ”Emission of low-amplitude waves from the free surface by a source located inside a conical horn,” Sib. Zh. Industr. Mat., 12, No. 3, 141–150 (2009). · Zbl 1228.76147
[2] N. S. Koshlyakov, E. B. Gliner, and M. M. Smirnov, Partial Derivative Equations in Mathematical Physics [in Russian], Vysshaya Shkola, Moscow (1970). · Zbl 0115.30701
[3] S. V. Sukhinin and S. P. Bardakhanov, ”Aeolian tones of a plate in a channel,” Preprint No. 2, Inst. Hydrodynamics, Sib. Div., Russian Acad. of Sci., Novosibirsk (1997). · Zbl 0921.76137
[4] R. Mittra and S. Lee, Analytical Techniques in the Theory of Guided Waves, Macmillan, New York (1971). · Zbl 0227.35002
[5] A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Izd. Mosk. Univ., Moscow (1999).
[6] T. Rossing and N. Fletcher, Principles of Vibration and Sound, Springer-Verlag, New York (2001). · Zbl 0824.73001
[7] M. G. Lighthill, Waves in Fluids, Cambridge University Press, Cambridge (1978). · Zbl 0375.76001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.