Abstract
Flexural motion of a radially rotating beam attached to a rigid body is investigated. Fully coupled non-linear equations of motion are derived by using the extended Hamilton's Principle. Spatial dependence is suppressed by using the extended Galerkin method. A torque profile is used to drive the rotating body so that the rigid body motion is not known a priori. The effect of the coupling terms upon the vibration waveforms are investigated by using both a linearized analysis and numerical solution of the differential equations. It is found that for small values of the ratio of the flexible beam and rigid shaft inertia uncoupled equations can lead to substantially incorrect results, particularly with regard to frequencies.
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