Static and vibration response analysis of sigmoid function-based functionally graded piezoelectric non-uniform porous plate

This paper has done static and vibration response analysis of the sigmoid functionally graded piezoelectric (S-FGP) tapered plate under thermo-electric load with different even/uneven type porosity. The governing equations of plate motion are derived using first-order shear deformation theory (FSDT) based displacement fields with Hamilton's principle, and material property distribution is considered as per sigmoid law in the thickness direction of the FGP plate. The obtained governing equations are solved using the higher-order finite element method (FEM) with nine noded interpolation functions with 63 degrees of freedom (DOFs) per element. Convergence and the comparison study have been performed to exhibit the efficacy of the present study. It is observed that parameters like the non-dimensional center deflection, non-dimensional stress, and non-dimensional frequency are decreased as the material gradient index increases. The positive and negative types of electric loading have considerable effects on the pre/post type buckling configuration of the porous S-FGP tapered plate under thermal effect. The present analysis results can be used in the various smart structure application made of porous FGP materials.

Automated summary

This paper investigates the static and vibration response of the sigmoid functionally graded piezoelectric tapered plate under thermo-electric load with different porosity. The results show that the material gradient index affects the deflection, stress, and frequency of the plate, while positive and negative electric loading have significant effects on the buckling configuration.