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Active control of parametrically excited systems

Active control of parametrically excited systems
Active control of parametrically excited systems
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.
active vibration control, parametrically excited systems, pole placement
1045-389X
1-13
Ghandchi Tehrani, M.
c2251e5b-a029-46e2-b585-422120a7bc44
Kalkowski, Michal
6f0d01ef-7f44-459c-82a2-03f9e1275eda
Ghandchi Tehrani, M.
c2251e5b-a029-46e2-b585-422120a7bc44
Kalkowski, Michal
6f0d01ef-7f44-459c-82a2-03f9e1275eda

Ghandchi Tehrani, M. and Kalkowski, Michal (2015) Active control of parametrically excited systems. Journal of Intelligent Materials Systems and Structures, 1-13. (doi:10.1177/1045389X15588625).

Record type: Article

Abstract

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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Accepted/In Press date: 29 April 2015
e-pub ahead of print date: 10 June 2015
Keywords: active vibration control, parametrically excited systems, pole placement
Organisations: Inst. Sound & Vibration Research, Dynamics Group, Signal Processing & Control Grp

Identifiers

Local EPrints ID: 388038
URI: http://eprints.soton.ac.uk/id/eprint/388038
ISSN: 1045-389X
PURE UUID: a37ed851-ea65-44fb-abff-75dacfa7399f

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Date deposited: 17 Feb 2016 16:40
Last modified: 27 Apr 2022 09:50

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