摘要

This paper presents a practical approach to applying variable spindle speed machining (VSM) to noncircular turning process, in which the cutting tool is driven by a fast tool servo and performs dynamic variable depth of cut machining. An enhanced closed loop dynamic model involving strong dynamic feedback between the machining process and the fast tool servo is thus developed. By using the spindle's angular position as the independent variable and Euler differential approximation, the system dynamics are described as a finite dimensional periodic time-varying discrete system, which in turn is converted to a time-invariant system using the lifted technique. The system stability becomes tractable by spectral radius analysis. Then, a criterion of the VSM stability index is used to evaluate the quantitative effects of VSM on noncircular turning systems and to design optimal VSM trajectory parameters. It is shown that a modest stability increase is obtained with the use of VSM. Experimental machining results are presented, which demonstrate the ability to increase noncircular turning stability using VSM, as well as the proposed VSM trajectory parameters design.