The Journal of the Acoustical Society of America, Vol. 126, No. 5, pp. EL140–EL146, November 2009
©2009 Acoustical Society of America. All rights reserved. 
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Straightforward estimation of the elastic constants of an isotropic cube excited by a single percussion
F. J. Nieves and F. Gascón
Departamento de Física Aplicada II, E.T.S. Arquitectura, Universidad de Sevilla, Reina Mercedes 2, 41012 Sevilla, Spain
A. Bayón and F. Salazar
Departamento de Física Aplicada, E.T.S.I. Minas, Universidad Politécnica de Madrid, Ríos Rosas 21, 28003 Madrid, Spain
(Received: 30 April 2009; accepted: 11 September 2009; published online: 8 October 2009)Ritz's method is applied to calculate accurate values of the lowest non-dimensional natural frequencies of a freely vibrating isotropic cube. The dependence of such frequencies and their quotients on Poisson's ratio is established. Vibration of a cube caused by percussion is detected at a point by a laser interferometer. With the help of the tables and graphs provided and with the values of the first lowest frequencies obtained experimentally in a single test, Poisson's ratio and the shear modulus are calculated by means of elementary arithmetical operations. ©2009 Acoustical Society of America
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