Parametric vibrations in offset printing units

Vibrations of offset printing presses are serious problem, which cause many difficulties while printing and impair quality of the prints. The biggest problem lies in construction of printing unit. It mainly consists of three cylinders, but two of them are in a direct contact generate undesired vibrations. Construction of the cylinders makes that stiffness of the unit varies periodically while printing. In this paper model of offset printing unit is presented. The model is described by the system of two parametric differential equations. Computer simulations of the behaviour of the printing unit have been performed. Conditions in which parametric resonance appears are also appointed here.