Cochlear macromechanics: Time domain solutions

J. B. Allen, M. M. Sondhi

Research output: Contribution to journalArticlepeer-review


In this paper we report on a new method of solving a previous derived, two dimensional model, integral equation for basilar membrane (BM) motion. The method uses a recursive algorithm for the solution of an initial value problem in the time domain, combined with a fast Fourier transform (FFT) convolution in the space domain at each time step. Thus, the method capitalizes on the high speed and accuracy of the FFT yet allows the BM to have nonlinear mechanical properties. Using the new method we compute (linear) solutions for various choices of model parameters and compare the results to the experimental measurements of Rhode. [J. Acoust. Soc. Am. 49, 1218–1231 (1971)]. We also demonstrate the effect of including longitudinal stiffness along the BM and conclude that it is useful in matching the high frequency slope as measured by Rhode.

Original languageEnglish (US)
Pages (from-to)123-132
Number of pages10
JournalJournal of the Acoustical Society of America
Issue number1
StatePublished - Jul 1979
Externally publishedYes

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics


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