Free Flexural Vibrations of Coupled Linearly Tapered Bars and Infinitely Wide Cantilever Plates

Abstract

The paper is concerned with free flexural vibrations of connected systems consisting of linearly tapered bars and cantilever plates of infinite width and constant thickness. The frequency equations are obtained in the cases that the bars attached to the plates are of (I) constant width and linearly varying thickness and (II) Iinearly varying width and thickness. The first two natural frequencies are calculated numerically and are shown graphically.