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TECHNICAL BRIEFS

The Analytical Solution and The Existence Condition of Dry Friction Backward Whirl in Rotor-to-Stator Contact Systems

[+] Author and Article Information
Jun Jiang

MOE Key Laboratory of Strength and Vibration, School of Aerospace,  Xi’an Jiaotong University, 710049 Xi’an, Chinajun.jiang@mail.xjtu.edu.cn

J. Vib. Acoust 129(2), 260-264 (Apr 20, 2006) (5 pages) doi:10.1115/1.2345677 History: Received May 17, 2005; Revised April 20, 2006

Dry friction backward whirl is a self-excited vibration state in rotor-to-stator contact systems, by which the rotor is in continuous contact with the stator, slipping continuously on the contact surface and whirling backward at a supersynchronous frequency. To correctly cope the response of dry friction backward whirl, the effect of dry friction must be taken into account in rotor/stator models. From the knowledge on the characteristics of dry friction backward whirl, the whirl frequency, the existence condition and the solution of this response are derived analytically in this paper. The analytical results are verified by simulations and shown in good correspondence to the experimental observations.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

(a) Schematic diagram of the Jeffcott rotor with the stator clearance. (b) The section of the rotor at the position of disk to show the forces applied on the rotor during the backward whirl of the rotor.

Grahic Jump Location
Figure 2

The whirl frequency of dry friction backward whirl versus the rotating speed where ζ=0.05, β=0.10, R0=1.05, and Rdisk=20R0. The starting whirl frequencies are marked by 엯 for μ=0.15, * for μ=0.25, and × for μ=0.35.

Grahic Jump Location
Figure 3

The existence boundaries of the dry friction backward whirl, the solid line for β=0.10, and the dashed line for β=0.04 in the case that ζ=0.05, μ=0.15, R0=1.05, and Rdisk=20R0. The existence boundaries from (6) are marked by circles and stars.

Grahic Jump Location
Figure 4

(a) The time history of the rotor response at the dry friction backward whirl in the X direction at Ω=1.00, where ζ=0.05, β=0.10, μ=0.15, R0=1.05, and Rdisk=20R0. (b) The blow-up diagram of the panel in (a). The solid line stands for the numerical simulation and the dotted line for the analytical solution.

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