Experimental Verification of a Stability Theory for Periodic Cutting Operations

[+] Author and Article Information
I. Minis

University of Maryland Baltimore County, Baltimore, MD 21228; Systems Research Center, University of Maryland, College Park, MD 20742

A. Tembo

University of Maryland Baltimore County, Baltimore, MD 21228

J. Eng. Ind 115(1), 9-14 (Feb 01, 1993) (6 pages) doi:10.1115/1.2901645 History: Received March 01, 1991; Revised March 01, 1992; Online April 08, 2008


The stability of periodic cutting operations, the dynamics of which are described by linear differential-difference equations with periodic coefficients, is studied. A new stability theory that uses parametric transfer functions and Fourier analysis to obtain the characteristic equation of such systems is experimentally verified. The theory is applied to single-point turning of a compliant work piece with two degrees-of-freedom. The theoretical predictions of both the critical depth of cut for chatter-free turning and the corresponding chatter frequency were found to be in good agreement with the measurements obtained from actual chatter tests under various surface speeds.

Copyright © 1993 by The American Society of Mechanical Engineers
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