Dynamics of cutter rolls of setting out machines

The proposed research is devoted to studying the motion of the cutter roll of leather-processing setting out machines and, of the resonance, when the number of roll revolutions coincides with the frequency of its natural vibrations, violating its dynamic stability. Composing differential equations of forced vibrations of the cutter roll, taking into account the resistance force of the medium, the frequencies of natural vibrations and the critical speeds are determined for different diameters of the cutter roll. It is assumed that a servo motor is installed to the cutter roll, which ensures constant roll rotation and reduces the number of degrees of freedom. It is shown that the dynamic coefficient and the maximum amplitude of forced oscillations occur not at resonance but extreme values of the detuning coefficient less than one. In addition, it was shown that the phase shift of forced oscillations at resonance does not depend on the linear resistance. Methods for determining the vibration frequency for different diameters of the cutter roll are shown.