Electro-mechanical Analysis of Rotating Cylinder Made of Functionally Graded Piezoelectric Materials: Sensor and Actuator

In this paper, based higher shear deformation theory, electro-elastic equation of functionally graded material axisymmetric thick-walled cylinders in general form is presented. The displacements, stresses and electrical potential in clamped-clamped cylindrical shells analytically are calculated. The presented approach leads to the definition of new formulation to study thick shells based on shear deformation theory. The mechanical equilibrium equation obtained by energy method and for finding electrical equilibrium equation used Maxwell and Gauss equations. The governing equation solved in general form (independent of the order of shear deformation theory) by the coupled electro-mechanical using eigen vectors In this study, all mechanical and electrical piezoelectric material properties, were considered to follow an identical power law in the radial direction. The results obtained in the present paper have been compared with findings of plane elasticity theory. For investigating the effect of higher order approximations on displacements and stresses and electrical potential, a comparison between the results of first and third-order shear deformation theory have been studied. The numerical results show that the higher-order approximations must be applied in electro-elastic analysis of cylindrical shells made of functionally graded piezoelectric material. Finally, some numerical results are presented to study the effects of mechanical and electrical loading on the stresses, displacements and electrical potential of the cylinder.