Response Analysis of a Rotating Tapered Beam

The vibration characteristics of a rotating tapered beam under the excitation of wake flows are considered. The governing equation of the beam is obtained and discretized to a set of ordinary differential equations by using the Galerkin’s method. The coupled vibrations for the first two modes of the beam are investigated. The effects of system parameters such as the taper ratio, the non-dimensional frequency ratio and radius on the first two natural frequencies of the vibrations are studied. Moreover, the vibration responses and stabilities of the coupled system are studied under the 1:1 primary resonance. And the relations between the amplitude of the vibration for the first mode and the parameters including the detuning parameter, the non-dimensional frequency ratio as well as the damping coefficient are investigated for different taper ratios.