Abstract
This paper is a discussion of a numerical simulation and a numerical stability study of the dynamics of a paper machine roll grinding process with an additional time delay effect, which is originated from a shape error trace on the surface of the roll under grinding. The simulation model presents the dynamic interaction between the roll and the grindstone during the process, the lateral deformations of the roll and the torsional rigid body vibration system of the roll and the grindstone with its drive. The normal and tangential forces of the grinding contact based on the wear theory and the driving torques of the roll and the grindstone with PD-controllers are considered. The mechanical model of the roll is described as a simply supported continuous beam element expressed in an eigenvector basis and in rotating coordinates. The time delay equation is based on the classical linear time delay theory with a constant delay. The numerical simulations conducted in time domain provide a view to observe the dynamic behavior and the stability of this grinding process and a tool for the design, analysis and verification of industrial roll grinding measurements in the future.
