The plane dynamic of elastically mounted work- and backup-rolls in a 4-high mill stand is formulated including the plasto-mechanical process in the roll gap. Thereby the elementary, quasi-static milling theory - neglect inertia effects, simplification of kinematics - will be derived and adapted to the continuously changing geometry during the forming process. The numerical linearisation of the resulting, nonlinear differential motion equations respecting the iterative calculated equilibrium state, leads to declarations of eigenfrequencies and eigenmodes which illustrates the interaction between roll motion, forming process and additional band motion.
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