Free vibration of rotating axially functionally graded tapered beams

Abstract

In this article, free vibration characteristics of rotating axially functionally graded tapered beams with six different boundary conditions are studied through a finite-element approach. The beam element employed in this study is a two-noded element whose shape functions are obtained in terms of special functions namely basic displacement functions. Application of this beam element provides good results as the shape functions take the effects of variable centrifugal force, cross-sectional area, and mechanical properties of the material. In this study, the effects of material non-homogeneity, taper ratio, rotating speed parameter, hub radius, and tip mass are investigated. The results are given in tabular form so that they could be used as a means of comparison for future studies in this field.