Nonlinear Analysis on Flutter of FGM Plates Using Ilyushin Supersonic Aerodynamic Theory
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Abstract
This paper deals with an analysis on the supersonic flutter characteristics of Functionally Graded (FGM) plate under aerodynamic loads. Based upon the classical plate theory and the Ilyushin supersonic aerodynamic theory, the governing equations of FGM plates lying in the moving supersonic airflow are derived. The application of Galerkin method with an approximate two-terms Fourier expansion solution leads to a set of nonlinear auto-oscillation equations for determining the nonlinear flutter response and critical velocity. Numerical results are obtained by fourth-order Runge-Kutta method. The influences of the material properties, geometrical parameters and initial conditions on the supersonic flutter characteristics of FGM plate are investigated. The validation of present formulation is carried out.
Keywords: Nonlinear flutter response, critical velocity, functionally graded (FGM) plate, Ilyushin supersonic aerodynamic theory.
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