Free vibration and stability analysis of piezolaminated plates is presented using the finite element method based on higher order shear deformation theory. The distribution of electric potential is assumed as linear through the thickness for each piezoelectric layer. The variation of the temperature field is neglected for the orthotropic layers of the laminate and for the piezoelectric layer. An eight node quadratic isoparametric quad element is employed in the finite element formulation. Numerous parametric studies are conducted for free vibration and stability analysis of a piezolaminated plate with different electric conditions of the piezolayer. The emphasis is on examining the influence of boundary conditions, ply orientation and plate aspect ratio on the free vibration and stability analysis of simply supported piezoelectric laminated plates. The results are verified with other numerical solutions available in the literature and are found to be in good agreement.

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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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.