Nonlinear vibration and flutter characteristics of FGSPM plates in yawed supersonic flow under thermal conditions

This article presents, for the first time, the aero-thermo-poroelastic supersonic flutter characteristics of geometrically nonlinear, functionally graded, saturated porous material (FGSPM) plates subjected to yawed flow angle. The Refined shear deformation plate theory (RSDPT), in conjunction with von Karman’s nonlinear relations and the supersonic piston theory, accounting for yawed flow angle, is used to construct the FGSPM plate. The temperature-dependent effective material properties of the FGSPM plate vary continuously across the thickness. The pores under saturated fluid-filled conditions are considered for the analysis. Consequently, the constitutive equations are derived by utilizing linear poroelasticity theory. Additionally, by integrating Hamilton’s principle with a nonlinear finite element technique, the governing equations of a supersonic FGSPM plate are developed. Then, the direct iterative procedure is used to obtain the geometrically nonlinear numerical solutions. Special emphasis is placed on understanding the effects of various parameters, such as aerodynamic pressure, yawed airflow angle, Skempton coefficient, temperature gradients, saturated porosity distributions, porosity volume index, volume fraction grading index, and boundary conditions, on the analysis of nonlinear flutter bounds of the FGSPM plate. The study shows that saturated fluid in the pores of the FGSPM plate significantly affects the flutter bounds compared to the plate in drained conditions.