Abstract
The problem of free oscillations of the plate partially submerged into the layer of liquid is considered in the rigorous mathematical statement. The exact analytical solution of the problem is constructed. The eigen frequencies and the eigen functions of vibrating plate basing on analyses of exact solution are calculated. The influence of liquid’s level on eigen frequencies and on eigen functions is analysed.
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References
Belinsky B. P. (1984) Free oscillations of elastic body in waveguide, Acoustic journal (Russian) 30 14–17.
Filippenko G. V., Kouzov D. P. (1998) Sound transmission through a plate dividing the waveguide and protruding above the surface of a liquid, XXV- conference of Non-Linear mechanics, Institute of Mechanical Engineering of Russian Academy of Sciences 281–286, St. Petersburg.
Filippenko G. V., Kouzov D. P. (1998) The income impedance of a plate submerged in a waveguide, XXVI- conference of Non-Linear mechanics, Institute of Mechanical Engineering of Russian Academy of Sciences 286–295, St. Petersburg.
Filippenko G. V., Kouzov D. P. (2001) On the vibration of a membrane partially protruding above the surface of a liquid, Journal of Computational Acoustics (JCA) 9 1599–1609.
Kouzov D. P., Pachin V. A. (1976) Diffraction of acoustic waves in plane semiinfinite waveguide with elastic walls, J. Appl. Math. R. 40 89–96.
Kouzov D. P. (1997) Boundary-contact problems of acoustics and methods of factorisation, Methoden und Verfahren der Mathematischen Physik 42 102–113.
Kouzov D. P., Veshev V. A., Lavrov Y. A. (2003) Analytic solutions in boundary-contact problems of acoustics, Recent Research Development Acousyics, ISBN: 81-7895-083-9 1 145–170.
Lukianov V. D., Nikitin G. L. (1990) Scattering of acoustical waves on an elastic plate parting two various fluids in a wave guide, Acoustic journal (Russian) 36 68–75.
Romilly N. (1964) Transmission of Sound through a Stretched Ideal membrane, JASA 36 1104–1109.
Romilly N. (1969) Sound transmission through a thin plate under tension, Acustica 22 183–186.
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Filippenko, G.V., Kouzov, D.P. (2006). THE EXACT AND APPROXIMATE MODELS FOR THE VIBRATING PLATE PARTIALLY SUBMERGED INTO A LIQUID. In: İnan, E., Kırış, A. (eds) Vibration Problems ICOVP 2005. Springer Proceedings in Physics, vol 111. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5401-3_30
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DOI: https://doi.org/10.1007/978-1-4020-5401-3_30
Publisher Name: Springer, Dordrecht
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