Third-octave-mode chatter in rolling. Part 2: Stability of a single-stand mill

Abstract

Based on the general linear chatter model of a single-stand mill, derived in Part 1, two physical mechanisms that may lead to chatter will be explored. The first, termed instability caused by the ‘model-matching effect’, is the consequence of a simple process-structure interaction that exhibits a relatively high margin of stability. The second, ‘mode coupling’, is the consequence of multiple vibration modes. The stability of both chatter modes will be established by formulating analytical stability criteria in terms of relevant rolling process parameters. Simulation results will be presented to demonstrate stable and unstable mill behaviour.