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In practice a rotating flexible thin annular disk has to be operated at low speed, because three types of dynamic instabilities inevitably occur around critical and supercritical speeds, namely: aeroelastic, parametric and thermoelastic. The rotating disk is clamped and driven by a drive shaft attached to the disk inner edge. The external action of the flowing surrounding air causes the aeroelastic...
In the view of fluid-structure interactions and rotor dynamics, this paper models the lateral vibration of a vertical downward rotating elastic drill string conveying mud subjected to supporting stabilizers, bit torque and longitudinal thrust. The dynamic model involves the rotational inertia of the drill string tube cross section, the gyroscopic effect caused by rotation, the damping due to friction...
Under consideration of initial unstressed transverse runout, governing equation of a flexible disk rotating at periodically varying angular speed is modeled as a parametrically excited system, and steady state deflection and resonance of the disk is investigated by the harmonic balance method. The investigation shows that the initial transverse runout of a given disk mode affects the steady state...
Under considering the inertial force of angular acceleration and the shear stress due to the varying rotational speed, parametric instability of a flexible disk rotating at periodically varying angular speed is analyzed via an improved Hill’s method which is suitable for harmonic balance processing. The causation of parametric instability is interpreted innovatively, and new parameter region of instability...
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