Free vibrations of rectangular plates of exponentially varying thickness and with a free edge

Published in Journal of Sound and Vibration Vol. 140 (3), pp. 513-522, 1990
doi: 10.1016/0022-460X(90)90764-Q

Abstract

Transverse vibrations of the structural system described in the title are analyzed by using classical plate theory and employing two different methodologies: the recently developed “optimized Kantorovich approach”; and a finite element algorithmic procedure. It is shown that the fundamental frequency coefficients obtained by using both techniques for a rather wide variation of the governing geometric parameters are in very good agreement. Lower frequency coefficients of the plate system determined by means of the finite element method are also presented.