On the Doubly Regenerative Stability of a Grinder: the Combined Effect of Wheel and Workpiece Speed

Abstract

The conditional stability of a plunge cylindrical grinder is worked out in explicit terms of wheel and workpiece speed. The analysis is an extension of the theory developed in the paper “On the Doubly Regenerative Stability of a Grinder.” This paper was published in JOURNAL OF ENGINEERING FOR INDUSTRY, TRANS. ASME, Series B, Vol. 96, No. 1, Feb. 1974, pp. 275–280. An example problem is solved. The machine and cutting parameters used by Hahn in his original analysis are employed. The results are plotted as a graph of wheel versus workpiece speed with unstable areas cross-hatched. It is shown that (1) improved stability accompanies high-speed grinding; (2) below given speeds of the wheel and/or workpiece all grinding is unstable; (3) although the difference is small, the destabilizing effect of the workpiece is greater than that of the wheel; (4) grinding frequency can be used to predict the onset of chatter.