Natural Frequencies of Transversely Vibrating Uniform Annular Plates

Abstract

Frequency determinants are derived for various combinations of boundary conditions associated with the transverse vibrations of uniform annular plates. From these equations, the values of the resonant frequencies of the various normal modes are calculated. Graphs and selected tables are included to facilitate the use of this material for design purposes. The results of an experimental investigation of two of the cases are also presented, and the agreement between these findings and the theoretically predicted values is remarkably good.