Parametric self-excitation of cutting dynamic system

The problem on stabilizing the toolpath generation relative to the workpiece taking into account the parametric self-excitation is considered. Factors causing the cyclic parameter variations in the cutting dynamic system are analyzed. These factors are related to the spatial anisotropy of elastic properties in the workpiece subsystem, allowance on workpiece rotation perimeter variations, kinematic perturbations from the drive hardware of the machine executive elements, and to the periodic processes in the cutting zone. The generic dynamic model of the periodic system is given. The effect of the periodically varying parameters on the path stability is studied. Buckling collapse features specific for cutting dynamic systems are disclosed. It is also shown that through the parametric actions, with increase in cutting speed under the spindle row growth, there always exists critical frequency at which the system loses its stability.