Vibration Control of a Rotating Shaft: An Analytical Solution

[+] Author and Article Information
S. M. Yang, G. J. Sheu

Institute of Aeronautics and Astronautics, National Cheng Kung University, Taiwan, R.O.C.

J. Appl. Mech 66(1), 254-259 (Mar 01, 1999) (6 pages) doi:10.1115/1.2789155 History: Received June 13, 1996; Revised August 20, 1998; Online October 25, 2007


It has been shown that a rotating shaft in the Rayleigh beam model has only a finite number of whirl speeds and vibration modes when the rotating speed is higher than half of the whirl speed. The system’s unbalanced response can therefore be written analytically by the vibration modes and the generalized coordinates. This paper presents an analytical controller design of optimal sensor/actuator location and feedback gain for minimizing the steady-state unbalanced response. Because all of the critical speeds and vibration modes are included in the controller design, there will be no residual mode, hence no spillover. An example is used to illustrate that the controller design in collocated or noncollocated configuration not only guarantees the closed-loop stability but also effectively suppresses the unbalanced response.

Copyright © 1999 by The American Society of Mechanical Engineers
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