Chaotic and periodic motions of an FGM cylindrical panel in hypersonic flow are investigated. The cylindrical panel is also\nsubjected to in-plane external loads and a linear temperature variation in the thickness direction. The temperature dependent\nmaterial properties of panel which are assumed to be changed through the thickness direction only can be determined by a simple\npower distribution in terms of the volume fractions. With Hamilton�s principle for an elastic body, a nonlinear dynamical model\nbased on Reddy�s first-order shear deformation shell theory and von Karman type geometric nonlinear relationship is derived in\nthe form of partial equations. A third-order piston theory is adopted to evaluate the hypersonic aerodynamic load. Here, Galerkin�s\nmethod is employed to discretize this continuous nonlinear dynamic system to ordinary differential governing equations involving\ntwo degrees of freedom. The chaotic and periodic response are studied by the direct numerical simulation method for influences of\ndifferentMach number and the value of in-plane load.The bifurcations, Poincare section, waveform, and phase plots are presented.
Loading....