Nonlinear vibrations of an axially moving plate in aero-thermal environment

In this paper, the nonlinear primary resonances of an axially moving plate in aero-thermal environment concerning on manufacturing background of the hot rolling are studied. The equation of motion of the plate is established using the Burger’s nonlinear plate theory. The aerodynamic force is analytically derived based on the linear potential flow theory and the assumed mode method. The effect of the temperature change of the environment is taken into account in the structural modeling. The incremental harmonic balance method is applied for nonlinear vibration analysis of the system. The effects of the axially moving speed, the flow velocity and the temperature change on the nonlinear vibration properties of the plate are discussed. From the analysis, it can be seen that the plate exhibits hardening type of nonlinearity. The first-order generalized coordinate has a resonance peak, and the second to the fourth-order generalized coordinates have the resonance trough. With the axially moving speed, the flow velocity and the temperature change increase, the resonance frequency of the plate decreases. The amplitude of the resonance increases when the temperature change increases. The resonance amplitude increases with increasing excitation amplitude. This research can be helpful for the hot rolling process design in the manufacturing industry.