Mathematical model of rolling dynamics when filling finishing train of wide-strip mill with strip

The mathematical model of dynamics interaction between the stands of a continuous group of a wide-strip mill at the moment when it is filled (bitten) with the strip has been developed. The model consists of equations with absolute values of torsional oscillations in the main drive, electric motor, elastic oscillations of the stand, interstand tensions, transport-velocity lag, strip thickness deviation. Interstand tension character and values at the moment the 6-stand train is filled with the strip, which are not directly measured on the mills, are determined through computer modelling. For the first time the importance of torsional oscillations is demonstrated. If the torsional oscillations are not taken into account the estimated values of the tension and strip thickness deviation at the exit are reduced to 30 %. The model is designed to study how the technical and structural disturbances and factors influence on the tension and the rolled stock thickness, to determine the maximum dynamic loads in the strip and equipment, as well as to calculate and set up the strain-velocity modes of continuous trains.