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.
On the Spillover of Steady State Unbalance Response of a Rotating Shaft Under Velocity Feedback
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Yang, S. M., and Sheu, G. J. (July 21, 2005). "On the Spillover of Steady State Unbalance Response of a Rotating Shaft Under Velocity Feedback." ASME. J. Vib. Acoust. April 2006; 128(2): 143–147. https://doi.org/10.1115/1.2149391
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