Free Vibrations of Thin-Walled Pretwisted Beams under Axial Loading : 2nd Report, Coupled Torsional-Longitudinal Vibrations of Rotating Cantilever Beams with Tapered Rectangular Sections

Abstract

This paper deals with coupled torsional-longitudinal vibrations of rotating pretwisted cantilever beams with tapered rectangular cross-sections. The Rayleigh-Ritz method is used to obtained pseudo-static torsional deformations stresses due to rotation and characteristic parameters of vibration. The influences of pretwisted angles, width or depth tapers of cross-section, speeds of rotation and pseudo-static torsional deformations on the characteristic parameters are investigated. The results show that these parameters have a considerable influence on the coupled torsional-longitudinal vibration of the beams.