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Aero-thermoelastic stability and nonlinear flutter analysis of functionally graded panels

Nonlinear flutter characteristics under the thermal load as well as aerodynamic heating on functionally graded material panels are investigated in the hypersonic flow. Mathematical models are defined such as power-law, sigmoid and exponential functionally graded materials by the volume fractions of the constituents. Further, third-order piston theory of aerodynamics and von Karman strain-displacement relationship is adopted in order to perform the aero-thermoelastic analysis. Applying the principle of virtual work, equations of motion are derived in the matrix form, and then finite element method is used to obtain the discretized equations. Then, the time domains analysis is performed using Newmark’s time integration method. To check the validity of the present formulation, numerical results are compared with the previous data in the literatures.