INFORMATICA International Journal Main Page Editorial Board Abstracting/Indexing Instructions to Authors Subscription Information Contents Author Index Papers in Production		INFORMATICA, 2001, Vol. 12, No. 2, 303-314 © Institute of Mathematics and Informatics, Vilnius, 1998 ISSN 0868-4952 Mathematical Modeling of Metal Cutting Process Jolanta JANUTENIENEa, Donatas SVITRAb aKlaipeda University Bijn 17, 5800 Klaipda, Lithuania E-mail: mechanik@ku.jtf.lt bKlaipda University H. Manto 84, 5800 Klaipda, Lithuania E-mail: matkat@gmf.ku.lt Abstract In the practice of metal treatment by cutting it is frequently necessary to deal with self-excited oscillations of the cutting tool, treated detail and units of the machine tool. In this paper are presented differential equations with the delay of self-excited oscillations. The linear analysis is performed by the method of D-expansion. There is chosen an area of asymptotically stability and area D_{2}. It is prove that, in the area D_{2} the stable periodical solution appears. The non-linear analysis is performed by the theory of bifurcation. The computational experiment of metal cutting process and results of these experiments are presented. Keywords: metal cutting, oscilations, stability To preview Lithuanian abstract see full article text To preview full article text in PDF format click here You could obtain free Acrobat Reader from Adobe
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