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Stability of Composite Rotors with Massive Discs and Follower Load

Weronko J., Kurnik W.

Machine Dynamics Problems

2006

Vol. 30, No. 1

113-124

The paper is concerned with a new approach to the stability behaviour of a rotating composite shaft with two supports and massive disc at the end using dynamic eigenvalues and eigenform for bifurcation analysis. The shaft subjected to tip-concentrated axial follower load and discussion is focused on the influence of gyroscopic effect on the critical rotation speed and post-critical behaviour of the system. Dynamic base functions are applied in Galerkin's discretization procedure. Two mechanisms of flutter instability exhibited by the system are studied and explained for prospective applications in industrial machinery like compressors, pumps and turbines.

Gyroscopic Effect in the Stability Problem of a Slender Rotating Shaft with Follower Load

Kurnik W., Przybyłowicz P. M., Weronko J., Wiatr P.

Machine Dynamics Problems

2003

Vol. 27, No. 2

55-70

The paper is concerned with stability analysis of a flexible rotating shaft supported as a cantilever beam and subjected to tip-concentrated follower load. Such systems exhibit two mechanisms of instability of flutter type, different in physical nature and, what is most important, interacting to produce complicated stability regions in the space of rotation speed and follower load. In such systems even for high-speed working conditions, the rotary inertia as well as the gyroscopic effect is usually neglected like in slender beams. However, in some regions of parameters, especially in slightly internally dissipative shafts the gyroscopic effect can considerably change the boundaries of the stability domain. Moreover, an interesting phenomenon can be observed when two pairs of eigenvalues with different speeds at the same time intersect the imaginary axis of the complex plane. This leads to bifurcation with four critical eigenvalues similar to that studied by Iooss in the Navier-Stokes equations.