Supersonic flutter analysis of FGM shallow conical panel accounting for thermal effects

Abstract

Supersonic flutter behaviors of functionally graded material (FGM) shallow conical panel with steady thermal stress are investigated. It is assumed that temperature dependent material properties are graded along the radial direction following power law form. The shallow conical panel is formulated with the aid of first-order shear deformation theory and von-Karman geometrical nonlinearity. The aerodynamic loads are evaluated by using the first-order piston theory. The equations of motion in the form of nonlinear partial differential are derived by applying the Hamilton’s principle. In order to get a high dimensional dynamic discrete system, the Galerkin’s method is utilized and this system includes the effect of steady thermal stress due to considering the thermal stress. Newton–Raphson method and continuation method are applied to obtain the equilibrium points, and flutter boundaries are analyzed by solving the eigenvalue problem. The influences of damping, ratio of length to thickness and volume fraction index on the flutter characteristics of the simply supported FGM shallow conical shell panel are studied.