Vibration characteristics of multi-parametric excitations and multi-frequency external excitations of rolling mill under entry thickness fluctuation of strip

A dynamic rolling force model with multi-parametric excitations and multi-frequency external excitations caused by entry thickness fluctuation of strip was established. Based on the dynamic rolling force, a nonlinear vertical vibration model with multi-parametric excitations and multi-frequency external excitations was established. The method of multiple scales was used to solve the amplitude-frequency characteristic equation of primary resonance of the nonlinear vibration system of a rolling mill. The transition set and the topology structure of systematic global bifurcation were obtained by using the singularity theory. Finally, primary resonance characteristics of the system under entry thickness fluctuation of strip were analyzed by using actual parameters of the rolling mill. The global bifurcation curves with the change of amplitude and frequency of entry thickness fluctuation of strip were obtained by using numerical simulation, and many dynamic behaviors were found such as single-cycle motion, multi-cycle motion and chaotic motion, which can provide a theoretical reference for further restraining the vibration of a rolling mill.