Two dynamic models of the rolling process that utilize the homogeneous deformation and inhomogeneous deformation theories respectively, were established with the relaxation of conventional assumptions such as constant strip velocity at exit, constant roll velocity, and constant friction factor. In addition, roll horizontal movement and its rate of change were incorporated into the models to further enhance the ability to handle complex vibration modes found in rolling chatter.; Chatter models were constructed by combining the new rolling process models with three proposed structure models for the mill stand, which are: (i) uni-modal structure model, (ii) uni-directional multi-modal structure model, and (iii) multi-directional multi-modal structure model. Mechanisms that may lead to chatter such as negative damping, mode coupling, and regeneration, were studied using the established chatter models, in standalone or in tandem configurations. Stability analysis was carried out for each mechanism in order to better understand the effects of rolling parameters on the overall system, and stability criteria were formulated to serve as tools for designing new mills or improving the productivity of existing mills. A series of simulations, based on the proposed chatter models, was carried out to verify their predictive ability, as well to investigate chatter phenomena too complicated to study analytically.; Dynamic rolling experiments were conducted using a laboratory-scale rolling mill. Sinusoidal variations of strip backward tension, forward tension, and roll gap were provided externally to excite the mill, and the response of roll force, roll gap, strip tension, roll peripheral velocity, and strip velocities at entry and exit were recorded and analyzed. The accuracy of the proposed chatter models was also verified by comparing simulation results, obtained under the same conditions as the performed experiments, with the corresponding experimental results.
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