Electroelastic Static and Vibration Response Analysis of Sigmoid PZT-5A/ Pt-Based Smart Functionally Graded Plate

Abstract

The current study is focused on the static and vibration analysis of a sigmoid smart functionally graded (SFG) plate resting on the two parameters elastic foundation exposed to electromechanical loading at different boundary conditions. The sigmoid law (S-Law) is used to evaluate the distribution of SFG properties along the thickness direction. The governing equation of the motion of the SFG plate is obtained using first-order shear deformation theory (FSDT) and Hamilton’s principle. The derived governing equation is then solved employing the higher-order finite element method (HFEM) using 9-noded Lagrange quadrilateral elements with 54 degrees of freedom (DOFs) per element. Convergence and comparative tests are carried out for the effectiveness and accuracy of the present approach. Non-dimensional frequency increases negative electric loading [Formula: see text] and reduces positive electric loading at a constant side-to-thickness ratio. The effect of the shear layer parameter on the stress and deflection of the SFG plate is more compared to the Winkler foundation. The obtained results are helpful for the accurate design of the SFG-based structures under electromechanical loading.