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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 264, Pages 250–257 (Mi znsl1180)  
A study of an acoustical wave-guide with longitudinal partitions using the theory of the multi-degree-of-freedom systems

S. M. Novoselova

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (230 kB)
Abstract: A system of nonlinear equations for the normal frequencies and the eigenfunctions of a cross section of an acoustic wave-guide with two longitudinal elastic partitions, linked with a raw of springs has been derived in the papers [1–2]. Such acoustic system supposed to be a model of the microstructure of the media canal of the mammalian cochlea. A numerical solution of these equations and a graphical analysis are undertaken in the present paper.
Received: 15.12.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 111, Issue 5, Pages 3770–3774
DOI: https://doi.org/10.1023/A:1016302413371
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: S. M. Novoselova, “A study of an acoustical wave-guide with longitudinal partitions using the theory of the multi-degree-of-freedom systems”, Mathematical problems in the theory of wave propagation. Part 29, Zap. Nauchn. Sem. POMI, 264, POMI, St. Petersburg, 2000, 250–257; J. Math. Sci. (New York), 111:5 (2002), 3770–3774
Citation in format AMSBIB
\Bibitem{Nov00}
\by S.~M.~Novoselova
\paper A study of an acoustical wave-guide with longitudinal partitions using the theory of the multi-degree-of-freedom systems
\inbook Mathematical problems in the theory of wave propagation. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 264
\pages 250--257
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1180}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1796424}
\zmath{https://zbmath.org/?q=an:1125.76382}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 111
\issue 5
\pages 3770--3774
\crossref{https://doi.org/10.1023/A:1016302413371}
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