The Wigner distribution function has been investigated both theoretically and practically to assess its suitability for machine tool diagnostics. It is demonstrated that it is potentially useful for detecting incipient chatter and generally characterizing changes in the workpiece statistics as a result of poor machining.
Get full access to this article
View all access options for this article.
References
1.
WhitehouseD. J.Surfaces—a link between manufacture and function. Proc. Instn Mech. Engrs, June 1978, 192, 179.
2.
ReasonR. E.Report on the measurement of surface finish using stylus instruments. Rank Organisation, 1944.
3.
PeklenikJ.New developments in surface characterisation and measurements by means of random process analysis. Proc. Instn Mech. Engrs, 1967–8, 182 (3k), 108.
WoodwardP. M.Probability and information theory with application to radar, 1953 (Pergamon Press).
6.
WignerE.On the quantum correction for thermodynamic equilibrium. Phys. Rev., 1932, 40, 749–759.
7.
WhitehouseD. J.ZhengK. G.The use of space-frequency functions in machine tool monitoring. Inst. Physics J. Instrum. Measmt Sci., 1992, 3(9).
8.
ClaasenT. A. C.MechenbraukerW. F. G.The Wigner distribution, a tool for frequency time analysis. Part III. Continuous signals. J. Phillips Res., 1980, 35(3).
9.
ZhengK. G.The application of the Wigner distribution to monitoring cutting tool condition. PhD thesis, University of Warwick, 1992.
10.
ClaasenT. A. C.MechenbraukerW. F. G.The Wigner distribution, a tool for frequency time analysis. Part 1. Continuous time signals. J. Phillips Res., 1980, 35(3).
11.
DudaR. O.HartP. E.Use of the Hough transformation to detect lines and curves in pictures. Commun. ACN, 1972, 15(1), 11–15.
12.
LiD.MathewJ.Tool wear and failure monitoring techniques for turning—a review. Int. J. Machine Tools and Manufacture, 1990, 30(3), 579–598.