Vibration response analysis of exponential functionally graded piezoelectric (EFGP) plate subjected to thermo-electro-mechanical load

摘要

The present paper concentrates on the static and dynamic behavior of the exponential functionally graded piezoelectric (EFGP) material subjected to the thermo-electro-mechanical loading. By taking the first-order shear deformation theory (FSDT) and Hamilton's principle, the EFGP plate's motion equations are deduced. The plate's properties are assumed to be varied continuously in the thickness direction as per exponential law distribution. The results are obtaining by employing a nine node Lagrange interpolation function finite element with seven degrees of freedom per node. The results are validated, and the convergence of these results is evaluated with those available in the literature. The effects of the different side-to thickness (a/h) ratio, the different Young's modulus Er(= Ec/Em)ratio, and the different material density rho r(= rho c/rho m) ratio with varying boundary conditions under electric and the thermal environment are analyzed. This study helps in the design and analysis of the functionally graded piezoelectric material-based actuators that act as resonators in electronics equipment under the thermo-electric environment.