Among various types of rolling chatter, third-octave-mode chatter is considered the most critical because it generates large gauge variations in the rolled materials and may damage the rolling mill. In this three-part paper, a new chatter model that combines a homogeneous process model with suitable mill structure models is presented. Based on this model, the system's stability is investigated in the light of various mechanisms that may lead to the onset of third-octave-mode chatter. Stability criteria for each mechanism are established in terms of relevant rolling process parameters, and their influences on overall system stability are demonstrated. Part 1 deals with the general formulation of single- and multiple-stand chatter models.
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