Effects of steady-state axial deformation on bending frequency of rotating cantilever beam

Abstract

A coupling dynamic model of a rotating cantilever beam is established by considering the effect of steady-state axial deformation on transverse bending deformation. The present method uses fully nonlinear Green strain–displacement relationship to derive the coupling terms in the equations of motion. The steady-state axial deformation is derived by analysing the equation of axial motion. An expression of the rotational speed limit is also obtained. The numerical results indicate that the steady-state axial deformation has a considerable effect on the transverse bending frequencies. A comparison of the present model with the absolute nodal coordinate formulation indicates that the two models are in good agreement, which proves the effectiveness and rationality of the present model.

Dynamics Analysis of Rotating Cantilever Beams with Free End Mass

“…Huang et al [14] used this form of the axial deformation expression to study the frequencies of the axial, flapwise, and chordwise vibrations. Based on the FOAC model, Zhao et al [15,16] investigated the effect of axial deformation on the bending frequency of rotating cantilever beams.…”