Abstract
The natural oscillations of a submerged elastic jet membrane modeling an axisymmetric hydrodynamic direct-flow radiator are analyzed. The fundamental frequency is calculated as a function of the geometric and hydrodynamic characteristics of the jet. The principle possibility of adjusting the frequency by changing the elasticity of the fluid, which is a function of hydrostatic pressure, is demonstrated. Numerical and experimental data are compared.
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REFERENCES
Yu. M. Dudzinskii, N. V. Manicheva, and O. A. Nazarenko, “Optimal characteristics of a broadband acoustic radiator under static excess pressure,” Akust. Visn., 4, No.2, No. 38–46 (2001).
Yu. M. Dudzinskii and A. F. Nazarenko, “Performance of axisymmetric hydrodynamic radiators under static excess pressure,” Akust. Zh., 42, No.4, 569–572 (1996).
Yu. M. Dudzinskii and A. A. Nazarenko, “Energy characteristics of the secondary vortex zone of an axisymmetric hydrodynamic radiator,” Akust. Visn., 3, No.1, 36–41 (2000).
Yu. M. Dudzinskii and O. A. Nazarenko, “Oscillations of a submerged axisymmetric jet membrane,” Akust. Visn., 3, No.4, 27–35 (2001).
Yu. M. Dudzinskii, A. O. Sukhar’kov, and O. V. Sukhar’kov, “Cleaning precision machine parts in high-power acoustic fields,” in: Advanced Technologies and Systems in Mechanical Engineering (International Scientific Collection), Issue 25, DonNTU, Donetsk (2003), pp. 123–127.
L. K. Zarembo and V. A. Krasil’nikov, An Introduction to Nonlinear Acoustics [in Russian], Nauka, Moscow (1966).
E. Kamke, Handbook of Ordinary Differential Equations [in German], Chelsea, New York (1974).
M. Kornfel’d, Elasticity and Strength of Fluids [in Russian], Gos. Izd. Tekhn.-Teor. Lit., Moscow (1951).
R. T. Knapp, J. W. Daily, and F. G. Hammitt, Cavitation, McGraw Hill, New York (1970).
L. Landau and E. Lifshitz, Theory of Elasticity, Pergamon Press, Oxford (1986).
A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, Cambridge Univ. Press (1959).
A. F. Nazarenko, “Hydrodynamic radiators,” in: Ultrasound. Small Encyclopedia [in Russian], Sovetskaya Éntsiklopediya, Moscow (1979), pp. 79–81.
P. M. Ogibalov and M. A. Koltunov, Shells and Plates [in Russian], Izd. Mosk. Gos. Univ., Moscow (1969).
A. N. Guz and A. P. Zhuk, “Motion of solid particles in a liquid under the action of an acoustic field: the mechanism of radiation pressure,” Int. Appl. Mech., 40, No.3, 246–265 (2004).
A. N. Guz, V. D. Kubenko, and A. E. Babaev, “Dynamics of shell systems interacting with a liquid,” Int. Appl. Mech., 38, No.3, 260–301 (2002).
P. S. Koval’chuk and V. G. Filin, “Circumferential traveling waves in filled cylindrical shells,” Int. Appl. Mech., 39, No.2, 192–196 (2003).
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Translated from Prikladnaya Mekhanika, Vol. 40, No. 12, pp. 92–98, December 2004.
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Dashchenko, A.F., Dudzinskii, Y.M. Natural oscillations of a jet membrane under hydrostatic pressure. Int Appl Mech 40, 1385–1390 (2004). https://doi.org/10.1007/s10778-005-0044-1
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DOI: https://doi.org/10.1007/s10778-005-0044-1