Characteristics of Dimension Functions Associated With Cutting Measurements

[+] Author and Article Information
M. Rokni, B. S. Berger

Department of Mechanical Engineering, University of Maryland, College Park, MD 20742-3035

I. Minis

Department of Mechanical Engineering and the Institute for Systems Research, University of Maryland, College Park, MD 20742-3035

J. Vib. Acoust 117(3A), 259-264 (Jul 01, 1995) (6 pages) doi:10.1115/1.2874445 History: Received December 01, 1991; Revised January 01, 1992; Online February 26, 2008


The information dimension, D(0) , of attractors associated with orthogonal turning is determined from experimental tool-workpiece relative acceleration data. Let E≡dimension of a delay coordinate space, n≡number of generic data points and m≡ number of reference points on the attractor. It is shown that properties of D(0) as a function of E, denoted by D(0) :E, are unchanging, invariant, over large intervals of n and m. The qualitative properties of D(0) :E discriminate between various cutting cases. This discrimination can be based on relatively small data sets. The computation of D(0) is shown to be robust in the sense that estimated values of D(0) are invariant or slowly varying over intervals of n and m.

Copyright © 1995 by The American Society of Mechanical Engineers
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