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A homogenous 2D plate with simply support boundary conditions and local imperfection is assumed. The effect of nonlinear deformation with Reddy and marguerre plate model has been introduced. The effect of local imperfection in non-Linear vibration analysis with the effect of thermal and in-plane load has been investigated for the first time. The plate softening and hardening type with the effect of imperfection size is investigated. Flutter boundary of local imperfect plate with the effect of supersonic aerodynamic, thermal and mechanical 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, imperfection amplitude increase structural non-linear frequencie, and change plate softening type to hardening. Also, amplitude of plate vibration increase and flutter speed decrease continuously. Plate amplitude oscillation increase for small imperfection and decrease for larger imperfection versus flow speed.

Keywords: Panel flutter, Supersonic aerodynamic, local imperfection, Thermal stress, non-linear vibration

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