Synchronous and asynchronous whirling of the balanced rotor with an orthotropic elastic shaft

2018 ◽  
Author(s):  
V. G. Bykov
Keyword(s):  
Elastic Shaft

Liapunov Stability Analysis of Elastic Shaft-Rigid Disk-Bearing Systems

1992 ◽  
Vol 59 (4) ◽  
pp. 946-954
Author(s):  
H.-Y. Huang ◽  
A. L. Schlack
Keyword(s):  
Direct Method ◽  
Rotating Shaft ◽  
Rigid Disk ◽  
Elastic Shaft ◽  
Coupling Stiffness ◽  
Modal Term ◽  
Direct Stiffness ◽  
Instability Regions ◽  
Arbitrary Location ◽  
Stiffness And Damping

A general method of analysis based on Liapunov’s direct method is presented for studying the dynamic stability of elastic shaft-rigid disk-bearing systems. A model comprised of a rigid disk rigidly attached at an arbitrary location along a flexible, rotating shaft which is mounted on two eight-component end bearings is used to develop stability criteria involving system stiffness and damping parameters. It is quantitatively shown by means of graphs for typical cases how the instability regions are reduced by (a) increasing the shaft dimensionless stiffness parameters, (b) increasing the bearing direct stiffness and damping parameters, (c) decreasing the bearing cross-coupling stiffness and damping parameters, (d) decreasing the mass ratio of the disk, and (e) increasing the disk’s radius ratio. These graphs present typical examples of the types of design information available to engineers through the equations provided in this paper. These graphs also verify that a two-modal term (N = 2) expansion is normally adequate to model the system deformations since the curves are not significantly altered by adding another term (N = 3) to the expansion. The critical value of the shaft dimensionless stiffness parameters is also studied.

Influence of axial thrust bearing defects on the dynamic behavior of an elastic shaft

2000 ◽  
Vol 33 (3-4) ◽  
pp. 153-160 ◽  
Author(s):  
Sébastien Berger ◽  
Olivier Bonneau ◽  
Jean Frêne
Keyword(s):  
Dynamic Behavior ◽  
Thrust Bearing ◽  
Axial Thrust ◽  
Elastic Shaft ◽  
Bearing Defects

An Addition to the Theory of Whirling

1961 ◽  
Vol 28 (3) ◽  
pp. 383-386 ◽  
Author(s):  
T. R. Kane
Keyword(s):  
Perturbation Method ◽  
Equations Of Motion ◽  
Particular Solutions ◽  
Elastic Shaft ◽  
The Stability

Particular solutions of the equations of motion of a heavy disk attached at the center of a light, vertical, elastic shaft are used to describe a variety of forms of whirling. The stability of these motions is analyzed by a perturbation method.

On the Dynamical Behavior of Rotating Shafts Driven by Universal (Hooke) Couplings

1958 ◽  
Vol 25 (1) ◽  
pp. 47-51
Author(s):  
R. M. Rosenberg
Keyword(s):  
Critical Speed ◽  
Dynamical Behavior ◽  
Rotating Shaft ◽  
Critical Speeds ◽  
Elastic Shaft ◽  
Rotating Shafts

Abstract The system considered here is a massless, uniform elastic shaft carrying at its mid-point a disk (having mass) and supported at the ends by universal (Hooke) joints. The purpose of this investigation is to examine the effect of Hooke-joint angularity (as obtained by design, or from faulty alignment) on the bending stability of the rotating shaft. It is found that separate investigations are required for shafts not transmitting axial torques and for those required to transmit torques. Each gives rise to instabilities which are absent when the Hooke joint is straight. In the absence of axial torques, the shaft develops unsuspected mild critical speeds at odd integer submultiples of the “familiar” critical speed found with a straight Hooke joint. When the shaft is required to transmit moderate axial torques, the joint angularity produces true instabilities near all integer submultiples of the familiar critical speed. Surprisingly, these instabilities vanish for sufficiently large axial torques.

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