A Non-linear Model in Grinding

被引：0

作者：

Stanescu, Nicolae-Doru ^{[1
]}

机构：

[1] Univ Pitesti, Dept Appl Mech, Str Targul Din Vale 1, Jud Arges 110040, Romania

来源：

ADVANCES IN MANUFACTURING ENGINEERING, QUALITY AND PRODUCTION SYSTEMS, VOL I | 2009年

关键词：

grinding; equilibrium; stability; chaos; CUTTING PROCESS;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a non-linear model for the external grinding of a cylindrical work-piece. A system of non-linear differential equations for the vibrations of the tool and the work-piece is obtained. Non-linearity comes from the cutting force dependence on the feeding velocity and depth of cut. We determine the number of the equilibrium positions, we proved that there exists only one equilibrium position and we study its stability. Results of simulation are discussed. A chaotic regime is found for realistic values of the grinding parameters.

引用

页码：242 / +

页数：3

共 15 条

[1]

Abarbanel H. D. I., 1996, Analysis of Observed Chaotic Data

[2]

[Anonymous], 1979, FUNCTIONAL DIFFERENT, DOI DOI 10.1007/BFB0064319

[3] When is cutting chaotic? [J].