Active shape and vibration control of functionally graded thin plate using functionally graded piezoelectric material

Abstract

This article deals with the geometric nonlinear static and dynamic analyses of thin functionally graded structure sandwiched between functionally graded piezoelectric materials. The properties of functionally graded material are graded in thickness direction according to power law distribution, and the variation in electric potential is assumed to be quadratic across the thickness of functionally graded piezoelectric material layers. The functionally graded material structure is modeled using finite element modeling considering complete Green–Lagrangian strains. The finite element formulation is derived using Hamilton’s principle based on first-order shear deformation theory. The ensued nonlinear algebraic equations are then solved using the modified Newton–Raphson method. Shape and vibration control of functionally graded plate is presented using functionally graded piezoelectric material. Fuzzy logic controller is used to control the vibrations. The numerical results predict that functionally graded piezoelectric material can control the shape and vibration of functionally graded plate.