Cochlear Mechanics: Analysis for a Pure Tone,

Abstract

The dynamical response of a three-dimensional hydroelastic model of the cochlea is studied for a pure tone forcing. The basilar membrane is modeled as an inhomogenous, orthotropic elastic plate and the fluid is assumed to be Newtonian. The resulting mathematical problem is reduced using viscous boundary layer theory and slender body approximations. This leads to a nonlinear eigenvalue problem in the transverse cross-section. The solutions for the case of a rectangular and semi-circular cross-section are computed and comparison is made with experiment. The role of the place principle in determining the difference limen is presented and it is shown how the theory agrees with the experimental measurements. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 07, 1983
Accession Number
ADA136438

Entities

People

  • J. D. Cole
  • M. H. Holmes

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bodies
  • Boundary Layer
  • Composite Materials
  • Computational Science
  • Differential Equations
  • Ear
  • Eigenvalues
  • Elastic Properties
  • Equations
  • Frequency
  • Geometric Forms
  • Geometry
  • Mechanical Properties
  • Mechanics
  • Slender Bodies
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Auditory Neuroscience/Auditory Physiology.
  • Calculus or Mathematical Analysis
  • Structural Dynamics.