Nonlinear dynamics of axially moving plates

作者：Ghayesh Mergen H; Amabili Marco^*; Paidoussis Michael P

来源：Journal of Sound and Vibration, 2013, 332(2): 391-406.

DOI：10.1016/j.jsv.2012.08.013

The nonlinear dynamics for forced motions of an axially moving plate is numerically investigated using Von Karman plate theory and retaining in-plane displacements and inertia. The equations of motion are obtained via an energy method based on Lagrange equations. This yields a set of second-order nonlinear ordinary differential equations with coupled terms. The equations are transformed into a set of first-order nonlinear ordinary differential equations and are solved via the pseudo-arclength continuation technique. The hear-resonance nonlinear dynamics is examined via plotting the frequency-response curves of the system. Results are shown through frequency-response curves, time histories, and phase-plane diagrams. The effect of system parameters, such as the axial speed and the pretension, on the resonant responses is also highlighted.

• 出版日期2013-1-21