Abstract

Since Békésy's excellent experimental measurements of the mechanical constants and movement of the basilar membrane, two major papers have become available which give theoretical discussions of the subject discussed in this paper, one by Peterson and Bogart and one by Zwislocke. In the former the frictional force was neglected and a solution was obtained which throws considerable light on the mechanism, but the calculated curves of amplitude at various positions along the basilar membrane are far from those observed by Békésy. In the latter paper the frictional term is considered the all-important one, and the vibrating mass is neglected, and the author claims that his calculated amplitude curves fit those observed except for the phases; however, all of the details of this calculation are not given. In the present paper all three terms in the mechanical impedance of the basilar membrane are taken into account, and calculated amplitudes are obtained which agree approximately with those observed in amplitude and phase and time of travel of the wave from the stapes to any point on the membrane.

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