Abstract
The article suggests methods for determining the natural frequencies of oscillations of the
index tables of aggregate machines obtained as a result of a numerical and analytical solution of the
differential equations of motion of a division table as a continuous plate. The proposed theory thus
allows you to find the spectrum of natural frequencies of vibration of the rotary table system. If the
frequency of disturbing force coincides with one of the natural frequencies of vibrations, resonance
occurs. For linear - elastic system in the formulation of linear elasticity theory forced oscillation
amplitude bezkintsevo turn into big ones. At present it does not happen. All materials exist internal
friction. Therefore resonances at higher harmonics are usually not terrible. For engineering details
harmonics above the fifth – sixth shall not be considered. But the main tone resonance or first
harmonic can be considered the cause of imminent failure.