Reliability analysis of flutter threshold for an isotropic panel with different boundary condition

Reliability and uncertainty effect on aeroelasticity problems have been less respected by researchers. Reliability defines the ability of an item to perform the desired function during a specified time. In this paper, the flutter threshold for a panel has been studied; uncertainty in some parameters such as the elastic model, Poisson's ratio, density, thickness, and plane length is investigated. The plane is an Isotropic material considered in supersonic flow regime with three boundary conditions (SS, CS, CC). The structural model is considered based on the classical plate theory; also to determine the supersonic aerodynamic loads on the plate the first order piston theory is applied. The Generalized Differential Quadrature Method (GDQM) is used to discrete and analysis the aeroelastic equations of the panel. Then the equations are analyzed and eigenvalues are calculated. Then the threshold of the panel flutter is determined. Finally, to calculate the threshold of panel flutter reliability based on the first order reliability method, the Monte Carlo (MC) simulation is used.