Dynamic Stability of an Initially Deflected Rectangular Plate under Inplane Dynamic Moment Effects of Static Moment and Damping on Unstable Motions

In the present paper, the vibration of an initially deflected rectangular plate under sinusoidally time varying inplane moment is examined from the point of view of the dynamic instability. The equation of motion describing the large deflection of the initially deflected plate is analyzed by the Galerkin method. The resulting equations for time variable are integrated by using the Runge -Kutta-Gill method. The dynamic unstable regions are analyzed by the small deflection theory which neglects nonlinear terms. The amplitudes of unstable regions are integrated by using large deflection theory. Numerical results of an initially deflected plate are presented for static moment and damping