2D Flat and Curved Plate Frequency and Aeroelastic Analysis with In-Plane Force and Aerodynamic Thermal Load Effects in Frequency Domain

A homogenous plate with a high length to width ratio (2D model) and simply supported boundary conditions is assumed. The effect of panel curvature is considered and a non-linear deformation via Von Karman’s strains is taken into account. A frequency and flutter analysis of flat and curved plate under in-plane loads and thermal effects for the structure with temperature dependent properties has been performed. The first order piston theory is deployed to model supersonic aerodynamic loading. The system of non-linear PDE equations has been derived using the Hamilton principle and transformed into a set of non-linear ODE equations via the Galerkin method. By transforming the equations into the state space form and defining the proposed Jacobian matrix¡ eigenvalue analysis has been performed. The frequency and flutter analyses of a curved plate show that the effects of different environmental loadings are noticeable and have been carried out for the first time. The results show that the plate’s curvature has a profound effect on the instability boundary of the plate under supersonic aerodynamic loading. Also¡ Thermal property effected flutter domain.