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  4. Mathematical Modeling of Metal Cutting P ...

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Mathematical Modeling of Metal Cutting Process
Volume 12, Issue 2 (2001), pp. 303–314
Jolanta Janutėnienė   Donatas Švitra  

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https://doi.org/10.3233/INF-2001-12209
Pub. online: 1 January 2001      Type: Research Article     

Received
1 November 2000
Published
1 January 2001

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.

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Keywords
metal cutting oscilations stability

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INFORMATICA

  • Online ISSN: 1822-8844
  • Print ISSN: 0868-4952
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