The development of high-speed automated cold heading machines that are stable in operation requires improvement of the methods of their design. Emphasis must be placed on the main executing mechanism (MEM), which is subjected to cyclic alternating technological and operational loads from other units. The oscillations appearing in the system of the MEM, however, should be damped quickly to avoid excitation of oscillations in adjacent mechanisms. In turn, the oscillation processes in these mechanisms should not generate dynamic loads in the MEM, etc. The problem of creating a stable design of the MEM has required the development of a mathematical model of this unit. A number of investigations have shown that this model may be represented, to a high accuracy, by a three-mass system. The central mass m 2 of the system, consisting of the effective masses of the crank-rocker mechanism and the shaft, is distributed among the supports and is loaded by the operational load Pf=P2The cantilever masses m I and m 3 define the operational masses reduced to the main shatt and loaded, respectively, by the reduced loads P1 and P3 from the mechanisms for cutting, transport, clamping, pushing out,