Analysis of dynamic behaviors of tandem cold mills using generalized dynamic and control equations

A generalized equation set is proposed to investigate the dynamic behavior of tandem cold rolling mills. The system is composed of intra- and inter-stands equations and the boundary conditions of the first and the last mill stands. The solution provides the detailed dynamic effects of disturbance variables such as anneal and entry gauges, hardness and roll eccentricity. The transportation delay is also considered. The mill dynamic equations and the control equations can be combined to form a linear system. The mill performance and the actuator response can be solved directly from the linear system