Abstract
The stability behavior and whirl speeds of a rotating shaft subjected to an axial compressive load are studied by the finite element method. The governing equations for such a gyroscopic system are formulated based on Timoshenko beam theory. The effects of translational and rotational inertia, gyroscopic moments, bending and shear deformation are included in the mathematical model. In order to facilitate calculation of the whirl speeds, a rotating frame of reference is employed in the formulation. Numerical results show that the rotating shaft develops unstable behavior of the divergence type when the lowest backward whirl speed approaches the value of zero, and as the load is increased slightly, the lowest backward whirl speed and the lowest forward whirl speed become complex conjugate and the instability behavior is immediately shifted from the divergence type to the flutter type. In addition, the whirl speeds decrease as the axial compressive load is increased.
| Original language | English |
|---|---|
| Pages (from-to) | 111-123 |
| Number of pages | 13 |
| Journal | Modal analysis |
| Volume | 9 |
| Issue number | 2 |
| Publication status | Published - 1994 Apr |
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All Science Journal Classification (ASJC) codes
- Engineering(all)
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Stability and whirl speeds of rotating shaft under axial loads. / Ku, D. M.; Chen, Lien-Wen.
In: Modal analysis, Vol. 9, No. 2, 04.1994, p. 111-123.Research output: Contribution to journal › Article
TY - JOUR
T1 - Stability and whirl speeds of rotating shaft under axial loads
AU - Ku, D. M.
AU - Chen, Lien-Wen
PY - 1994/4
Y1 - 1994/4
N2 - The stability behavior and whirl speeds of a rotating shaft subjected to an axial compressive load are studied by the finite element method. The governing equations for such a gyroscopic system are formulated based on Timoshenko beam theory. The effects of translational and rotational inertia, gyroscopic moments, bending and shear deformation are included in the mathematical model. In order to facilitate calculation of the whirl speeds, a rotating frame of reference is employed in the formulation. Numerical results show that the rotating shaft develops unstable behavior of the divergence type when the lowest backward whirl speed approaches the value of zero, and as the load is increased slightly, the lowest backward whirl speed and the lowest forward whirl speed become complex conjugate and the instability behavior is immediately shifted from the divergence type to the flutter type. In addition, the whirl speeds decrease as the axial compressive load is increased.
AB - The stability behavior and whirl speeds of a rotating shaft subjected to an axial compressive load are studied by the finite element method. The governing equations for such a gyroscopic system are formulated based on Timoshenko beam theory. The effects of translational and rotational inertia, gyroscopic moments, bending and shear deformation are included in the mathematical model. In order to facilitate calculation of the whirl speeds, a rotating frame of reference is employed in the formulation. Numerical results show that the rotating shaft develops unstable behavior of the divergence type when the lowest backward whirl speed approaches the value of zero, and as the load is increased slightly, the lowest backward whirl speed and the lowest forward whirl speed become complex conjugate and the instability behavior is immediately shifted from the divergence type to the flutter type. In addition, the whirl speeds decrease as the axial compressive load is increased.
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UR - http://www.scopus.com/inward/citedby.url?scp=0028420163&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0028420163
VL - 9
SP - 111
EP - 123
JO - JVC/Journal of Vibration and Control
JF - JVC/Journal of Vibration and Control
SN - 1077-5463
IS - 2
ER -