Active vibration control of an elastic plate using multiple piezoelectric sensors and actuators

Caruso, Giovanni; Galeani, Sergio; Menini, Laura

doi:10.1016/s1569-190x(03)00056-x

Cited by 79 publications

(49 citation statements)

References 9 publications

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“…The classical theory used in these studies to model the structures is based on Kirchhoff-Love's assumption and hence neglects the transverse shear deformation effects. First order shear deformation theory has been employed for active vibration control of smart beams and plates by [4,[11][12][13]21]. This theory however include the effects of transverse shear deformation but require shear correction factors which is a difficult task for the study of smart composite structures with arbitrary lay-up.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of actively controlled smart plate with patched actuators and sensors

Yasin

Ahmad

Alam

2010

Lat. Am. j. solids struct.

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The active vibration control of smart plate equipped with patched piezoelectric sensors and actuators is presented in this study. An equivalent single layer third order shear deformation theory is employed to model the kinematics of the plate and to obtain the shear strains. The governing equations of motion are derived using extended Hamilton's principle. Linear variation of electric potential across the piezoelectric layers in thickness direction is considered. The electrical variable is discretized by Lagrange interpolation function considering two-noded line element. Undamped natural frequencies and the corresponding mode shapes are obtained by solving the eigen value problem with and without electromechanical coupling. The finite element model in nodal variables are transformed into modal model and then recast into state space. The dynamic model is reduced for further analysis using Hankel norm for designing the controller. The optimal control technique is used to control the vibration of the plate.

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Section: Introductionmentioning

confidence: 99%

Finite element analysis of actively controlled smart plate with patched actuators and sensors

Yasin

Ahmad

Alam

2010

Lat. Am. j. solids struct.

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“…The cancelling source is generated at the desired location to interfere destructively with the unwanted vibration, thus resulting in vibration suppression on the flexible plate structure (4). Since then, the AVC method has been taken into consideration by many researchers in various applications (5)(6)(7)(8)(9) Caruso, Galeani (10) proposed the application of AVC system for an elastic plate with the basic of control law. (Gardonio, Bianchi (11), 12, 13) developed a velocity feedback controller for a smart plate in order to reduce the sound radiation or transmission.…”

Section: Introductionmentioning

confidence: 99%

Modelling and control of horizontal flexible plate using particle swarm optimization

Hadi¹,

Yatim²,

Darus³

2018

IJET

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This paper presents the modeling and active vibration control using an evolutionary swarm algorithm known as particle swarm optimization. Initially, a flexible plate experimental rig was designed and fabricated with all clamped edges as boundary conditions constrained at horizontal position. The purpose of the experimental rig development is to collect the input-output vibration data. Next, the data acquisition and instrumentation system were designed and integrated with the experimental rig. Several procedures were conducted to acquire the input-output vibration data. The collected vibration data were then utilized to develop the system model. The parametric modeling using particle swarm optimization was devised using an auto regressive model with exogenous model structure. The developed model was validated using mean square error, one step ahead prediction, correlation tests and pole-zero diagram stability. Then, the developed model was used for the development of controller using an active vibration control technique. It was found that particle swarm optimization based on the active vibration control using Ziegler-Nichols method has successfully suppressed the unwanted vibration of the horizontal flexible plate system. The developed controller achieved the highest attenuation value at the first mode of vibration which is the dominant mode in the system with 34.37 dB attenuation.

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“…One reason for this is that compared to other choices of actuators, piezoelectric devices are relatively light weight, can be easily embedded or bonded, have low energy requirements and smaller than traditional actuators used in vibration suppression. Recent studies on the vibration control of plates using piezoelectric actuators and sensors include [13][14][15][16][17]. In these studies several aspects of piezoelectric control have been studied including feedback control [14], constraints on control voltage [15], and open-loop control [17].…”

Section: Introductionmentioning

confidence: 99%

Optimal piezoelectric control of a plate subject to time-dependent boundary moments and forcing function for vibration damping

Küçük

Yildirim

Adali

2015

Computers & Mathematics with Applications

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a b s t r a c tActive vibration control problem for a rectangular plate subject to moment boundary conditions and forcing function is solved by means of a maximum principle. The control is exercised by a patch actuator and the solution is formulated using an adjoint variable leading to a coupled boundary-initial-terminal value problem. The application of the maximum principle yields the optimal control expression as well as the explicit solution for a simply supported plate. The objective functional to be minimized is defined as a quadratic functional of displacement and velocity and also includes a penalty in terms of control voltage applied to the piezoelectric patch actuator. The penalty term limits the amount of control energy spent during the control process. Numerical results are presented to assess the effect of the optimal control algorithm.

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Active vibration control of an elastic plate using multiple piezoelectric sensors and actuators

Cited by 79 publications

References 9 publications

Finite element analysis of actively controlled smart plate with patched actuators and sensors

Finite element analysis of actively controlled smart plate with patched actuators and sensors

Modelling and control of horizontal flexible plate using particle swarm optimization

Optimal piezoelectric control of a plate subject to time-dependent boundary moments and forcing function for vibration damping

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