Stabilizing wave attenuation effects in turning process

Efforts have been made and continue to be made to understand the self-excited vibrations of machine tools called regenerative chatter. Theory of stabilizing wave attenuation effects in machining process presented in another work is expanded in this work to postulate the behaviour of turning stability lobes to changes in material, process and structural parameters. The wave attenuation theory simply stated that rise in attenuating forces suppresses chatter instability. Analysis in this work showed that rise in tool natural frequency omega(n), damping ratio xi or feed speed v causes a rise in attenuating forces thus suppressing chatter. As expected from the wave attenuation theory harder workpiece materials with higher cutting coefficients C will better resist wave attenuation, and thus exhibit more chatter instability. Numerical verification of postulations is given.