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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 285, Pages 117–123 (Mi znsl1556)  
On frequencies of free acoustic oscillations in fluid dividing rigid and elastic cylindrical walls of finite length

Yu. A. Lavrov

Petersburg State Transport University
Full-text PDF (168 kB)
Abstract: The solution of a problem on determination of frequencies and mode shapes of free nonsymmetric oscillations in ring volume filled with ideal compressible fluid is constructed. Internal cylindrical bound and face flat walls are ideally rigid. The thin elastic shell with clamped edges is placed along an external cylindrical boundary. The phenomenon of decreasing of natural frequency at diminution of the thickness of fluid layer is confirmed.
Received: 20.02.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 122, Issue 5, Pages 3519–3522
DOI: https://doi.org/10.1023/B:JOTH.0000034031.99506.80
Bibliographic databases:
UDC: 517.947+534.414
Language: Russian
Citation: Yu. A. Lavrov, “On frequencies of free acoustic oscillations in fluid dividing rigid and elastic cylindrical walls of finite length”, Mathematical problems in the theory of wave propagation. Part 31, Zap. Nauchn. Sem. POMI, 285, POMI, St. Petersburg, 2002, 117–123; J. Math. Sci. (N. Y.), 122:5 (2004), 3519–3522
Citation in format AMSBIB
\Bibitem{Lav02}
\by Yu.~A.~Lavrov
\paper On frequencies of free acoustic oscillations in fluid dividing rigid and elastic cylindrical walls of finite length
\inbook Mathematical problems in the theory of wave propagation. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 285
\pages 117--123
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1556}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1911115}
\zmath{https://zbmath.org/?q=an:1079.76630}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 122
\issue 5
\pages 3519--3522
\crossref{https://doi.org/10.1023/B:JOTH.0000034031.99506.80}
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