Journal ArticleDOI
Vibration Control of a Cantilever Beam with Time Delay State Feedback
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TLDR
In this article, the primary and subharmonic resonance of order one-third of a cantilever beam under state feedback control with a time delay is investigated. But the effect of time delay on the resonance is investigated only from the viewpoint of vibration control.Abstract:
The primary and subharmonic resonance of order one-third of a cantilever beam under state feedback control with a time delay are investigated. Using the method of multiple scales, we obtain two slow flow equations for the amplitude and phase. The first-order approximate solution is derived and the effect of time delay on the resonance is investigated. The concept of an equivalent damping, related to the delay feedback, is proposed and an appropriate choice of the feedback gains and the time delay is discussed from the viewpoint of vibration control. The fixed points corresponding to the periodic motion of the starting system are determined, and the frequency-response and external excitation-response curves are shown. Bifurcation analysis is conducted in order to examine the stability of the system.read more
Citations
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Journal ArticleDOI
The effect of time-delayed feedback controller on an electrically actuated resonator
TL;DR: In this paper, the effect of a time-delayed feedback controller on the dynamics of a Microelectromechanical systems (MEMS) capacitor actuated as a resonator by DC and AC voltage loads is investigated.
Journal ArticleDOI
Nonlinear vibration and of the Duffing oscillator to parametric excitation with time delay feedback
TL;DR: In this article, the nonlinear vibrations of a parametric excited Duffing oscillator with time delay feedback were studied and the stability of the obtained nonlinear solution was studied and solved numerically.
Journal ArticleDOI
Vibration control of helicopter blade flapping via time-delay absorber
TL;DR: In this paper, the effect of time-delay absorber on the vibrating system when subjected to multi-parametric excitation forces was investigated and the stability of the obtained nonlinear solution was studied and solved numerically.
Journal ArticleDOI
Resonances of a nonlinear SDOF system with time-delay in linear feedback control
A. F. El-Bassiouny,S El-kholy +1 more
TL;DR: In this paper, the primary and subharmonic resonances of a nonlinear single-degree-of-freedom (SDOF) system under feedback control with a time delay have been studied by means of an asymptotic perturbation technique.
Journal ArticleDOI
Delayed feedback controller for microelectromechanical systems resonators undergoing large motion
TL;DR: In this article, the effect of a delayed feedback controller on stabilizing microelectromechanical systems (MEMS) resonators when undergoing large amplitude motion is investigated. And the authors show that applying a suitable positive gain can stabilize the MEMS resonator near or inside the dynamic pull in instability bands, by tracking its basins of attraction while sweeping the controller gain and the frequency of excitations.
References
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Book
Delay Equations: Functional-, Complex-, and Nonlinear Analysis
TL;DR: In this paper, a motivated introduction to functions of bounded variation is given, followed by a digression on weak* integration, and then the authors present an example of a retarded functional differential equation.