A homogenous 2D plate with simply support boundary conditions is assumed. The effect of plate curvature and nonlinear deformation effects with cylindrical shell model and von Karman’s relation, has been introduced. Linear and Non-linear Frequency analysis with the effect of curvature and in-plane load has been investigated for the first time. Curved plate panel flutter, with the effect of supersonic aerodynamic and in-plane load has been studied for the first time. First and third order piston theory aerodynamic (PTA) is employed to model supersonic aerodynamic loading. Equations of motion have been derived by the use of Hamilton’s principle and resultant nonlinear PDEs have been transformed into nonlinear ODEs via Galerkin’s method. Forth and fifth order rang-kutta numerical method has been used to solve ODEs and define panel behavior. Results show that, structural linear frequencies increase with panel curvature, while, it is more complicated for non-linear frequencies due to the effects of in-plane loads. Fuethermore, 3rd order PTA theory has more critical effect on the instability boundary in comparison with 1st order PTA. The effect of in-plane load in aeroelastic phenomena make limite cycle osilation to chaotic motion for curve plates.