Accession Number : ADA136438

Title :   Cochlear Mechanics: Analysis for a Pure Tone,

Corporate Author : RENSSELAER POLYTECHNIC INST TROY NY DEPT OF MATHEMATICAL SCIENCES

Personal Author(s) : Holmes,M H ; Cole,J D

PDF Url : ADA136438

Report Date : 07 Nov 1983

Pagination or Media Count : 60

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)

Descriptors :   *Mathematical models, *Audio tones, *Cochlea, *Hydroelasticity, *Dynamic response, Three dimensional, Purity, Boundary layer, Viscous flow, Slender bodies, Eigenvalues, Cross sections, Transverse, Nonlinear analysis, Equations, Sound waves

Subject Categories : Anatomy and Physiology
      Numerical Mathematics
      Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE