Fifth octave mode chatter in rolling

An analytical model making it possible to determine rolling mill stability against fifth octave mode chatter is introduced. The constituents of this m odel, i.e. a linearized dynamic process model and a structural dynamics mod el. are defined and combined to obtain a complete expression of mill behavi our under dynamic conditions. Subsequently, mill stability is investigated, using established linear system analysis methods, as a function of a numbe r of mill operational parameters. Finally, illustrative simulation examples are used to highlight typical mill responses in the presence of impending fifth and third octave mode instabilities.