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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 517.9

Received: 15.12.1999


 English version:
Journal of Mathematical Sciences (New York), 2002, 111:5, 3770–3774

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