Coupling vibration analysis of rotating three-dimensional cantilever beam

Abstract

In this study, the coupling equations of motion of a rotating three-dimensional cantilever beam are established to study the effects of Coriolis term and steady-state axial deformation on coupling vibration. In contrast to a previously published method, the present method uses fully nonlinear Green strain–displacement relationships to derive the coupling terms in the equations of motion. The numerical results obtained within the rotating speed limit show that the steady-state axial deformation has considerable effect on the chord-wise bending frequency but not on the flap-wise bending frequency. Moreover, the Coriolis term does not significantly affect the chord-wise bending frequency.