Vibration and Control of a Parametrically Excited Mechanical System

Chen, L.

doi:10.1109/tencon.2006.343835

Cited by 2 publications

(2 citation statements)

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“…In fact, cubic velocity feedback is not capable of cancelling vibrations associated with parametric resonance entirely on its own. The response of the closed-loop system is suppressed only if the model of the system includes several other nonlinear effects, as done by, for example, Oueini and Nayfeh (1999) or Chen (2006).…”

Section: Active Vibration Control Of a Parametrically Excited Systemmentioning

confidence: 99%

“…However, nonlinear control involves more effects, such as bifurcation, that need to be accounted for properly. Some experimental results on a combined linear and cubic velocity feedback that include the bifurcation control have been presented in Chen (2006) and Chen et al (2009). Lacarbonara et al (2007) employed a perturbation analysis to design a nonlinear controller for a parametrically excited simply supported beam and demonstrated its effectiveness with the experiment.…”

Section: Introductionmentioning

confidence: 99%

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Active control of parametrically excited systems

Tehrani

Kalkowski

2015

Journal of Intelligent Material Systems and Structures

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This article discusses active control of parametrically excited systems. Parametric resonance is observed in a wide range of applications and can lead to high levels of unwanted motion. For example, in cable-stayed bridges, the vibration of the deck excites the cables axially, inducing a periodically time-varying tension. If the frequency of deck vibration is about twice the natural frequency of the cable, a parametric resonance occurs and leads to a large-amplitude swinging motion of the cable. To tackle the consequences of parametric instability, active vibration control employing a piezoelectric actuator is proposed in this article. We consider a beam subjected to an axial harmonic load that represents a parametrically excited system with a periodically varying stiffness. Using both analytical and experimental methods, we assess the stability of the beam and propose active control aimed at relocating the transition curves and hence stabilising the system via velocity feedback and pole placement. Analytical relationship between the transition curves and the poles of the system is derived. Transition curves can be assigned to a prescribed location using appropriate velocity and displacement control gains. Finally, we demonstrate the proposed approach with experiments on a beam equipped with a macro fibre composite patch

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Section: Active Vibration Control Of a Parametrically Excited Systemmentioning

confidence: 99%