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International Journal of Rotating Machinery
Volume 7, Issue 2, Pages 143-151
http://dx.doi.org/10.1155/S1023621X01000124

Stability Analysis of a Gear Pair System Supported by Squeeze-Film Dampers

1Department of Mechanical Engineering, National Chung Cheng University, Chia Yi 621, Taiwan
2lnstitute of Aeronautics and Astronautics, National Cheng Kung University, Tainan 701, Taiwan

Received 24 April 1998; Revised 12 November 1999

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper examines the stability of the steady-state periodic response of a gear pair system supported by squeeze-film dampers. The steady-state response of the system is obtained by using the hybrid technique of Harmonic Balance Method and Time Collocation. The Fioquet-Liapunov theory is used to perform the stability analysis of the first variation equations with periodic coefficients, which is generated by the perturbation technique. The stability charts on gear mesh stiffness, spin ratio, disk unbalance, gravity, and squeeze-film damper are used to perform parameter studies. The numerical results show that the unstable region always occurs when the spin ratio is near the second coupled mode of the gear pair system. Furthermore, the mesh stiffness has a significant influence on the coupled critical speeds. Therefore, it plays an important role in determining the spin ratio stability range.