THE VIBRATION OF A RECTANGULAR PLATE WITH EDGES ELASTICALLY RESTRAINED AGAINST ROTATION

1 January 1959

journal article
Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics

Vol. 12 (1) , 29-42
https://doi.org/10.1093/qjmam/12.1.29

Abstract

By means of the Rayleigh-Ritz method, an analysis is made of the vibration of a rectangular plate whose edges are elastically restrained against rotation. Plate deflexions are represented by a set of functions which define the normal modes of vibration of a beam whose ends are elastically restrained against rotation. Values of various integrals of these functions and their derivatives are established. Frequencies are obtained from a set of linear simultaneous equations which may be solved by a simple iterative process. An approximate frequency equation is also derived and numerical tables for use with this equation are presented.

Keywords

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