Mathematical Modeling of Metal Cutting Process

Article type: Research Article

Authors: Janutėnienė, Jolanta | Švitra, Donatas

Affiliations: Klaipėda University, Bijūnų 17, 5800 Klaipėda, Lithuania. E-mail: mechanik@ku.jtf.lt | Klaipėda University, H. Manto 84, 5800 Klaipėda, 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 D2. It is prove that, in the area D2 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

DOI: 10.3233/INF-2001-12209

Journal: Informatica, vol. 12, no. 2, pp. 303-314, 2001