Modeling of cutter displacements during ball end milling of inclined surfaces

This work concentrates on the modeling of cutter's displacements during ball end milling with various surface inclinations. The cutter's displacements (vibrations) model including: tool's geometry, cutting conditions, surface inclination angle, run out and tool's deflections (induced by the cutting forces) was proposed. Subsequently, this model was validated empirically during the milling tests with various feed per tooth (fz), depth of cut (ap) and surface inclination angle (α) values. Experiments were carried out with the application of laser displacement sensor and force dynamometer. The research revealed that cutter's displacements are strongly affected by the cutter's run out and surface inclination. This observation is also confirmed by the developed model.