VIBRATION CONTROL FOR THE PRIMARY RESONANCE OF A CANTILEVER BEAM BY A TIME DELAY STATE FEEDBACK

VIBRATION CONTROL FOR THE PRIMARY RESONANCE OF A CANTILEVER BEAM BY A TIME DELAY STATE FEEDBACK The primary resonance of a cantilever beam under state feedback control with a time delay is investigated. By means of the asymptotic perturbation method, two slow-flow equations on the amplitude and phase of the oscillator are obtained and external excitation–response and frequency–response curves are shown. Vibration control and high-amplitude response suppression can be performed with appropriate time delay and feedback gains. Moreover, energy considerations are used in order to investigate existence and characteristics of quasiperiodic modulated motion for the cantilever beam. It can be demonstrated that appropriate choices for the feedback gains and the time delay can exclude the possibility of modulated motion and reduce the amplitude peak of the primary resonance. Analytical results are verified with numerical simulations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Sound and Vibration Elsevier

VIBRATION CONTROL FOR THE PRIMARY RESONANCE OF A CANTILEVER BEAM BY A TIME DELAY STATE FEEDBACK

Journal of Sound and Vibration, Volume 259 (2) – Jan 9, 2003

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Publisher
Elsevier
Copyright
Copyright © 2003 Elsevier Science Ltd
ISSN
0022-460X
eISSN
1095-8568
D.O.I.
10.1006/jsvi.2002.5144
Publisher site
See Article on Publisher Site

Abstract

The primary resonance of a cantilever beam under state feedback control with a time delay is investigated. By means of the asymptotic perturbation method, two slow-flow equations on the amplitude and phase of the oscillator are obtained and external excitation–response and frequency–response curves are shown. Vibration control and high-amplitude response suppression can be performed with appropriate time delay and feedback gains. Moreover, energy considerations are used in order to investigate existence and characteristics of quasiperiodic modulated motion for the cantilever beam. It can be demonstrated that appropriate choices for the feedback gains and the time delay can exclude the possibility of modulated motion and reduce the amplitude peak of the primary resonance. Analytical results are verified with numerical simulations.

Journal

Journal of Sound and VibrationElsevier

Published: Jan 9, 2003

References

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