Smart control of large amplitude vibration of porous piezoelectric conical sandwich panels resting on nonlinear elastic foundation

Abstract

In this paper, a nonuniform electric field model is proposed for the smart control of large amplitude vibration of porous piezoelectric conical sandwich panels resting on nonlinear elastic foundation within the framework of von Kármán type of geometrical nonlinearity and the first order shear deformation theory. The conical sandwich panel consists of a viscoelastic core and two porous piezoelectric material layers. By employing Hamilton’s principle, the nonlinear governing equations of porous piezoelectric conical sandwich panels are derived. Then, the semi-analytical solutions are given for the current system by utilizing the harmonic balance method to solve those coupled governing equations. Through numerical results, the influences of the control gain, uniform and nonuniform electric field models, type of porosity distribution, total porosity volume fraction, aspect ratio, linear and nonlinear foundation stiffnesses on the vibration control of porous piezoelectric conical sandwich panels are discussed in details. It is found that the uniform electric field model overrates the damping characteristic of the system with a great total porosity volume fraction when compared with the nonuniform electric field model.