Damping of parametrically excited single-degree-of-freedom systems

Asfar, K. R.; Masoud, K. K.

doi:10.1016/0020-7462(94)90012-4

Cited by 26 publications

(16 citation statements)

References 8 publications

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“…Asfar and Masoud (1994) conducted numerical studies of vibration suppression in a single-degree-of-freedom (SDOF) system subjected to a principal parametric resonance. Passive vibration control techniques, e.g., Lanchester-type dampers, have been used in their studies in order to increase the structural damping.…”

Section: Bifurcation Control Under Parametric Resonancementioning

confidence: 99%

Vibration Suppression of a Principal Parametric Resonance

Chen

Sammut

2009

Journal of Vibration and Control

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Abstract:In this paper, a control method that combines linear and nonlinear-velocity feedback control is proposed to suppress the principal parametric resonance in a flexible cantilever beam structure. Linearvelocity feedback is employed for bifurcation control, and cubic-velocity feedback is employed to suppress high-amplitude vibration. A unified bifurcation parameter 1 that includes both the excitation frequency and amplitude is defined for the stability analysis, so that bifurcations under quasi-stationary frequency-response and quasi-stationary force-response can be treated uniformly when 1 is quasi-statically varied. This unified bifurcation parameter simplifies the system stability analysis as well as the controller design procedure. Numerical simulation and experimental results show that the combined bifurcation control and nonlinear feedback control strategy performs better than linear-velocity or cubic-velocity feedback control alone, and is less susceptible to actuator saturation.

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Section: Bifurcation Control Under Parametric Resonancementioning

confidence: 99%

Vibration Suppression of a Principal Parametric Resonance

Chen

Sammut

2009

Journal of Vibration and Control

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“…From Eqs (14) and 15, we get a set of algebraic equations for amplitude rand phase φ of the steady-state fundamental resonance…”

Section: Steady-state Resonancementioning

confidence: 99%

“…Using the method of multiple scales [12,13], they demonstrated that appropriate choices of feedback gain and the time delay are possible for a better vibration control. Asfar and Masoud [14] performed the control of parametric resonance using a Lanchester-type damper and obtain sucessful vibration suppression and bifurcations control. Thomsen [15] investigated a string with sliding-mass nonlinear absorber and showed that vibration suppression is possible for moderate forcing amplitudes.…”

Section: Introductionmentioning

confidence: 99%

Fundamental and Subharmonic Resonances of Harmonically Oscillation with Time Delay State Feedback

El-Bassiouny

2005

Shock and Vibration

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Time delays occur in many physical systems. In particular, when automatic control is used with structural or mechanical systems, there exists a delay between measurement of the system state and corrective action. The concept of an equivalent damping related to the delay feedback is proposed and the appropriate choice of the feedback gains and the time delay is discussed from the viewpoint of vibration control. We investigate the fundamental resonance and subharmonic resonance of order one-half of a harmonically oscillation under state feedback control with a time delay. By using the multiple scale perturbation technique, the first order approximation of the resonances are derived and the effect of time delay on the resonances is investigated. The fixed points correspond to a periodic motion for the starting system and we show the external excitation-response and frequency-response curves. We analyze the effect of time delay and the other different parameters on these oscillations.

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“…Asfar and Masoud [3] conducted numerical studies of vibration suppression in a single-degree-of-freedom system subjected to a principal parametric resonance. Some passive vibration control techniques, e.g.…”

Section: Introductionmentioning

confidence: 99%

Vibration and Control of a Parametrically Excited Mechanical System

Chen

2006

TENCON 2006 - 2006 IEEE Region 10 Conference

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In this paper, a control method that combines linear and nonlinear velocity feedback control is proposed to suppress the principal parametric resonance in a flexible cantilever beam structure. Linear-velocity feedback is employed for bifurcation control and cubic-velocity feedback is employed to suppress the high-amplitude vibration. Numerical simulation and experimental results show that combined bifurcation control and nonlinear feedback control can avoid actuator saturation and provide better performance than linear-velocity or cubic-velocity feedback control alone.

show abstract

Damping of parametrically excited single-degree-of-freedom systems

Cited by 26 publications

References 8 publications

Vibration Suppression of a Principal Parametric Resonance

Vibration Suppression of a Principal Parametric Resonance

Fundamental and Subharmonic Resonances of Harmonically Oscillation with Time Delay State Feedback

Vibration and Control of a Parametrically Excited Mechanical System

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