The Nonlinear Vibration and Stability of Axially Traveling Thin Plates

Frequency and responses for the free vibration of traveling, nonlinear, elastic plates are obtained that are based on a nonlinear plate theory developed by Luo in 2000. The plate theory includes the in-plane inertial forces, the centrifugal forces, curvature effects and the in-plane Coriolis inertia. The critical speeds are obtained while the frequency of the prebuckled plate vanishes, and the critical speed for the mode (1,1) response is not always minimal.