Analysis of chatter dynamics in sheet rolling
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abstract
A two degree-of-freedom model based largely on the work presented by Johnson et al. [1] and Moon [2] is developed and studied to gain significant insight into the dynamic instability of the nonlinear process of rolling chatter. The investigation shows that the nonlinear characteristics of the rolling system play a non-negligible role in aggravating the system's sensitivity subject to excitations and perturbations induced by sheet force and external disturbances. It is found that whenever the frequency spectrum of the sheet force contains the components that match the modes of the system, resonance occurs. The physical phenomenon is accompanied by large vibration amplitudes in active work rolls and is thus recognized as rolling chatter. This paper explains the correlation between the many different modes of the system and the sheet forces. Beat phenomenon is also observed. System dynamic behaviors are investigated in the frequency domain and the associated results are discussed using phase plots.
