Spatial vibration of rolling mills

The analysis of rolling mill vibrations is usually limited to simple planar or low DOF vibrations. In reality, however, rolling mill vibrations take place in six DOF leading to spatial behaviors involving vertical, horizontal, axial, reverse, cross and swinging vibration modes resulting in complex relative motions between the rolls. In this paper, a complete spatial vibration characteristic analysis will be presented based on the modified Riccati-overall transfer matrix method. The proposed methodology will be applied to two distinct mill configurations, namely two high-stiffness mills with and without clearance in the chocks. Coupled vibration characteristics of cross and sway motions will be presented along with the complex mode shape analysis of the mills. Experimental results will be presented to prove the validity of the proposed method for spatial vibration analysis.