Coupling vibration analysis of rotating three-dimensional cantilever beam

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.