Limit Cycle Oscillation of a FG Panel with Hole in Supersonic Flow

In this paper, the limit cycle oscillation of a functionallygraded panel with hole in supersonic flow is considered.The nonlinear behavior of the panel is modeled by thevon Karman large deflection plate theory. Thesupersonic aerodynamic loading which is applied on thepanel is considered to be the quasi-steady first orderpiston theory. By using the Hamilton’s principle thenonlinear aeroelastic equations of the panel in partialform are obtained and by using the Galerkin’s methodare converted to a set of nonlinear ordinary differentialequations. Furthermore, these equations are solved by anumerical time integration method. The hole isconsidered to be square and the effect of size and locationof it is studied. It is found that the size and location of thehole and the properties of the functionally gradedmaterial have significant effects on both the onset of theflutter and postflutter of the FG panel.

کلیدواژه ها:

Limit cycle oscillation ، FG panel ، Pistontheory ، Hole.