Stability and whirl speeds of rotating shaft under axial loads

D. M. Ku, Lien-Wen Chen

研究成果: Article

19 引文 (Scopus)

摘要

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.

原文English
頁(從 - 到)111-123
頁數13
期刊Modal analysis
9
發行號2
出版狀態Published - 1994 四月

指紋

Axial loads
Bending moments
Shear deformation
Mathematical models
Finite element method

All Science Journal Classification (ASJC) codes

  • Engineering(all)

引用此文

@article{eec472f26ad24d0fabc2a5509ed214f7,
title = "Stability and whirl speeds of rotating shaft under axial loads",
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.",
author = "Ku, {D. M.} and Lien-Wen Chen",
year = "1994",
month = "4",
language = "English",
volume = "9",
pages = "111--123",
journal = "JVC/Journal of Vibration and Control",
issn = "1077-5463",
publisher = "SAGE Publications Inc.",
number = "2",

}

Stability and whirl speeds of rotating shaft under axial loads. / Ku, D. M.; Chen, Lien-Wen.

於: Modal analysis, 卷 9, 編號 2, 04.1994, p. 111-123.

研究成果: 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.

UR - http://www.scopus.com/inward/record.url?scp=0028420163&partnerID=8YFLogxK

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 -