Vibration Control of FGM Piezoelectric Plate Based on LQR Genetic Search

Bendine, Kouider; Wankhade, Rajan L.

doi:10.4236/ojce.2016.61001

Cited by 17 publications

(4 citation statements)

References 12 publications

(13 reference statements)

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“…Consider a sandwich plate with three layers discredited using a four-noded rectangular element, based on the classical plate theory [20,21]. The element used include four node finite element model with three displacement degrees of freedom for each node, namely the displacement w in the z direction, two rotations φ, ψ about (x, y) axis as well as one additional electrical degree of freedom (Φ) for piezoelectric patches Figure 1.…”

Section: Behaviors Lawmentioning

confidence: 99%

Numerical analysis based on finite element method of active vibration control of a sandwich plate using piezoelectric patches

Serhane

Bendine

Boukhoulda

et al. 2020

Mechanics and Mechanical Engineering

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An active method of vibration control of a smart sandwich plate (SSP) using discrete piezoelectric patches is investigated. In order to actively control the SSP vibration, the plate is equipped with three piezoelectric patches that act as actuators. Based on the classical plate theory, a finite element model with the contributions of piezoelectric sensor and actuator patches on the mass and stiffness of the sandwich plate was developed to derive the state space equation. LQR control algorithm is used in order to actively control the SSP vibration. The accuracy of the present model is tested in transient and harmonic loads. The applied piezoelectric actuator provides a damping effect on the SSP vibration. The amplitudes of vibrations and the damping time were significantly reduced when the control is ON.

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Section: Behaviors Lawmentioning

confidence: 99%

Numerical analysis based on finite element method of active vibration control of a sandwich plate using piezoelectric patches

Serhane

Bendine

Boukhoulda

et al. 2020

Mechanics and Mechanical Engineering

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“…Pan and Han [17] analyzed the static response of the rectangular plate made of several functionally graded layers, anisotropic, Shen [18] studied two types two types laminated hybrid plates FGM, one with FGM core and piezoelectric skins ceramic and the other is with FGMs skins and piezoelectric ceramic core. There have been also studies dealt with active vibration control of FGM structures the reader can be referred to Bendine et al [19], Bendine and Wankhade [20], He et al [21], Liew et al [22].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Behavior of Sandwich FGM Beams

Bouamama

Refassi

Elmeiche

et al. 2018

Mechanics and Mechanical Engineering

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This work is consisted to investigate the vibration behavior of FGM beams under different boundary conditions with diverse volume fraction. The main objective in this paper is to study the thickness influence of the sandwich beams skin on the frequencies of the structures. The classical Euler-Bernoulli theory (CLBT) with assuming that the material properties of the FGM layer will evaluated continuously in the thickness direction according to the power law (P-FGM) is used to derived the equation of motion. The frequencies obtained are compared with the natural frequencies of a two-material and those of the base materials.

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“…Bajoria and Wankhade (2015) further demonstrated vibration of cantilever piezolaminated beam with extension and shear-mode piezo-actuators. Bendine and Wankhade (2016) proposed vibration control of FGM piezoelectric plate based on LQR genetic search. Wankhade and Bajoria (2016) investigated shape control and vibration analysis of piezolaminated plates subjected to electromechanical loading.…”

Section: Introductionmentioning

confidence: 99%

Optimal shape control of piezolaminated beams with different boundary condition and loading using genetic algorithm

Bendine

Wankhade

2017

Int J Adv Struct Eng

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Piezoelectric actuators are effectively used to control the response of light weight structures in shape, vibration and buckling. Optimization for the shape control of piezoelectric beam is the recent challenge which requires proper numerical technique to perform. The shape control of a composite beam using surface-bounded piezoelectric actuators has been investigated in the present work. The mathematical model is developed using twonode Timoshenko beam element coupling with the theory of linear piezoelectricity. First-order shear deformation theory is employed in the formulation to consider the effect of shear. In the analysis, the effect of the actuators position for different set of boundary conditions is investigated. For different boundary conditions which include clampedfree-, clamped-clamped-and simply supported beam, optimisation of piezoelectric patch location is investigated. Moreover, a genetic algorithm is adopted and implemented to optimize the required voltage to maintain the desired shape of the beam. This optimization technique is applied to different cases of composite beams with varying the boundary condition.

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Vibration Control of FGM Piezoelectric Plate Based on LQR Genetic Search

Cited by 17 publications

References 12 publications

Numerical analysis based on finite element method of active vibration control of a sandwich plate using piezoelectric patches

Numerical analysis based on finite element method of active vibration control of a sandwich plate using piezoelectric patches

Dynamic Behavior of Sandwich FGM Beams

Optimal shape control of piezolaminated beams with different boundary condition and loading using genetic algorithm

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