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A mathematical model of the dynamics of the inner ear

Published online by Cambridge University Press:  20 April 2006

Mark H. Holmes
Mark H. Holmes
Affiliation:
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12181
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Abstract

A three-dimensional hydroelastic model of the dynamical motion in the cochlea is analysed. The fluid is Newtonian and incompressible, and the basilar membrane is modelled as an orthotropic elastic plate. Asymptotic expansions are introduced, based on slender-body theory and the relative high frequencies in the hearing range, which reduce the problem to an eigenvalue problem in the transverse cross-section. After this, an example is worked out and a comparison is made with experiment and the earlier low-frequency theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 116 , March 1982 , pp. 59 - 75
Copyright
© 1982 Cambridge University Press

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