Free vibration and stability analysis of piezolaminated plates using the finite element method

Wankhade, Rajan L.; Bajoria, Kamal M.

doi:10.1088/0964-1726/22/12/125040

Cited by 22 publications

(16 citation statements)

References 34 publications

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“…The LQR control algorithm described earlier is used to control or suppress the vibration of the FGM plate. The genetic algorithm is used to define the weighting parameters based on the Equation (12). Three set of power law exponent n = 0, 1 and 100 are presented.…”

Section: Vibration Control Analysismentioning

confidence: 99%

Vibration Control of FGM Piezoelectric Plate Based on LQR Genetic Search

Bendine¹,

Wankhade²

2016

OJCE

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Active vibration control of functionally graded material (FGM) plate with integrated piezoelectric layers is studied. In this regard, a finite element model based on the classical plate theory is adopted and extended to the case of FGM plate to obtain a space state equation. Rectangular four node and eight node elements are used for the analysis purpose. The material proprieties of FG plate are assumed to be graded along the thickness direction. In order to control the vibration of the plate, an LQR controller has been designed and developed. The weighing factors are obtained by using genetic algorithm. The proposed results of finite element modeling are verified with the results obtained using ANSYS. Also the validation of methodology is done with comparing the results with that of available in literature and found in well agreement. Further analysis is performed for three sets of power law exponent n = 0, 1 and 100 which gives benchmark results for vibration control of FGM piezoelectric plate.

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Section: Vibration Control Analysismentioning

confidence: 99%

Vibration Control of FGM Piezoelectric Plate Based on LQR Genetic Search

Bendine¹,

Wankhade²

2016

OJCE

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“…The three-dimensional piezoelectric constitutive equations can be expressed as direct piezoelectric equations suggested by Wankhade and Bajoria 30 as where { σ i },{ ɛ i } are represented as stress and strain vectors, [ c ij ] is represented as the compliance matrix coefficients, { E l } is represented as vector of applied electric field, { D m } is represented as the electric displacement and [ e il ] and [ ε lm ] are represented as the piezoelectric coupling coefficient and permittivity, respectively. The indexes i, j = 1, 2, 3, … , 6 and l,m = 1,2,3 represents different directions within the material coordinate system.…”

Section: Coupled Constitutive Relationshipsmentioning

confidence: 99%

Genetic algorithm- and finite element-based design and analysis of nonprismatic piezolaminated beam for optimal vibration energy harvesting

Biswal

Roy

Behera

2015

Proceedings of the Institution of Mechanical Engineers, Part C:

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The current article deals with finite element (FE)-and genetic algorithm (GA)-based vibration energy harvesting from a tapered piezolaminated cantilever beam. Euler-Bernoulli beam theory is used for modeling the various cross sections of the beam. The governing equation of motion is derived by using the Hamilton's principle. Two noded beam elements with two degrees of freedom at each node have been considered in order to solve the governing equation. The effect of structural damping has also been incorporated in the FE model. An electric interface is assumed to be connected to measure the voltage and output power in piezoelectric patch due to charge accumulation caused by vibration. The effects of taper (both in the width and height directions) on output power for three cases of shape variation (such as linear, parabolic and cubic) along with frequency and voltage are analyzed. A real-coded genetic algorithm-based constrained (such as ultimate stress and breakdown voltage) optimization technique has been formulated to determine the best possible design variables for optimal harvesting power. A comparative study is also carried out for output power by varying the cross section of the beam, and genetic algorithm-based optimization scheme shows the better results than that of available conventional trial and error methods.

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“…Kamal M. Bajoria and Rajan L. Wankhade (2012) analyzed rectangular piezolaminated plates for free vibration using Finite Element Method [20]. Wankhade and Bajoria (2013) developed finite element modeling for free vibration and buckling analysis of piezolaminated plates using higher order shear deformation theory [21] [22]. Brighenti (2014) studied smart behaviour of layered plates through the use of auxetic materials [23].…”

Section: Introductionmentioning

confidence: 99%

Shape Control and Vibration Analysis of Pi-ezolaminated Plates Subjected to Electro-Mechanical Loading

Wankhade¹,

Bajoria²

2016

OJCE

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Shape control and free vibration analysis of piezolaminated plates subjected to electro mechanical loading are evaluated using finite element method. First order shear deformation theory is employed in the analysis. Both extensions as well as shear actuators are considered for piezolaminated plates. Rectangular four node isoparametric element is used in the finite element formulation. Variation of temperature is neglected for the orthotropic layers of the laminate and for piezolayer. Annular circular plates and rectangular plates with piezoelectric layers mounted and/or integrated are analysed for various parameters. Numerical results are presented for varying the actuator voltage for annular plates with different thicknesses of piezo patches. In case of rectangular plate shear actuator is considered for vibration analysis.

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Free vibration and stability analysis of piezolaminated plates using the finite element method

Cited by 22 publications

References 34 publications

Vibration Control of FGM Piezoelectric Plate Based on LQR Genetic Search

Vibration Control of FGM Piezoelectric Plate Based on LQR Genetic Search

Genetic algorithm- and finite element-based design and analysis of nonprismatic piezolaminated beam for optimal vibration energy harvesting

Shape Control and Vibration Analysis of Pi-ezolaminated Plates Subjected to Electro-Mechanical Loading

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