ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Zakovorotny V. L., Pham D. T., Bykador V. S. Influence of a flexural deformation of a tool on self-organization and bifurcations of dynamical metal cutting system. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 3, pp. 40-52. DOI: 10.18500/0869-6632-2014-22-3-40-52

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Language: 
Russian
Article type: 
Article
UDC: 
621.91: 531.3

Influence of a flexural deformation of a tool on self-organization and bifurcations of dynamical metal cutting system

Autors: 
Zakovorotny Vilor Lavrentevich, Don State Technical University
Pham Dinh Tung, Le Kui Don State Technical University of Vietnam
Bykador Vitalij Sergeevich, Don State Technical University
Abstract: 

In the article we offer to consider case of a flexural deformation shifts of a tool when they are essential for nonlinear dynamics of cutting process. This situation is observed for drill deep  holes, because a boring bar has a small values of a flexural stiffness. In that case an angle of cutting  edge reduces and cutting forces increase if the deformation shifts also increased in velocity  direction. The last circumstance becomes occasion for positive feedback that essentially changes  dynamics of the cutting process. In the paper it is shown that process with positive feedback has the  bifurcation. In the first place we can observe bifurcation of fixed points. In the second place we can  watch if stiffness of cutting process is increased that limit cycles and chaotic attractors with limit region of attract are generated in neighborhood of fixed points. It is shown that attracting sets fundamentally depend on cutting parameters. The cutting parameters define cutting forces and the flexural deformation shifts of a tool.

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Received: 
18.03.2014
Accepted: 
05.05.2014
Published: 
31.10.2014
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