On the Spillover of Steady State Unbalance Response of a Rotating Shaft Under Velocity Feedback

[+] Author and Article Information
S. M. Yang1

Institute of Aeronautics and Astronautics, National Cheng Kung University, Taiwan, R.O.C.smyang@mail.ncku.edu.tw

G. J. Sheu

Department of Electrical Engineering,  Hsiuping Institute of Technology, Taiwan 412, R.O.C. gjsheu@mail.hit.edu.tw


Corresponding author.

J. Vib. Acoust 128(2), 143-147 (Jul 21, 2005) (5 pages) doi:10.1115/1.2149391 History: Received July 27, 2003; Revised July 21, 2005

It has been stated that a uniform rotating shaft in the Rayleigh beam model has only a finite number of critical speeds and precession modes. This paper presents a controller design of optimal sensor/actuator location and feedback gain for steady state unbalance response of a rotating shaft operating in a speed range. For systems under order-limit constraint such that only part of the precession modes can be included in the reduced-order controller design, the system stability can be evaluated. The example of a hinged-hinged rotating shaft is employed to illustrate the controller design of velocity feedback in collocated and noncollocated senor/actuator configuration. Analyses show that the reduced-order controller not only guarantees the closed loop system stability but also effectively suppress the unbalance response.

Copyright © 2006 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 1

Whirl speed map indicating the whirl speeds ωn dependence on rotating speed; the critical speeds Ωn are marked by solid circles

Grahic Jump Location
Figure 2

Amplitude of the un-damped generalized unbalance response q(τ)

Grahic Jump Location
Figure 3

Optimal sensor/actuator location (ζs,ζa) and the feedback gain in collocated design when np=2

Grahic Jump Location
Figure 4

Optimal sensor/actuator locations (ζs,ζa) and the feedback gain in noncollocated design when np=2

Grahic Jump Location
Figure 5

Unbalance response of the optimal noncollocated design from the reduced (np=2) and full order controller (np=4)



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In