Self-Excited Vibration in Cylindrical Grinding : Part 2, Theoretical Study

An analysis of self-excited vibration in cylindrical grinding is made. The equation of motion of the work is derived assuming that the dynamic grinding force is proportional to the time derivative of the removed work volume. The conclusions are as follows : (1) Self-excited vibration is caused by regenerative effect, and not by negative damping. (2) Self-excited vibration does not occur in low work speed range, and the work speed at which instability appears becomes higher with increasing depth of grinding or infeed. These conclusions generally agree with experimental results. The rango of phase lag in which regenerative self-excited vibration with finite amplitude can be maintained is calculated by a digital computer and found to become narrower with increasing amplitude.