On the origin and bifurcations of stick-slip oscillations

被引：211

作者：

Dankowicz, H ^{[1
]}

Nordmark, AB ^{[1
]}

机构：

[1] Royal Inst Technol, Dept Mech, S-10044 Stockholm, Sweden

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2000年 / 136卷 / 3-4期

关键词：

friction modeling; stick-slip oscillations; grazing bifurcations; discontinuity mappings;

D O I：

10.1016/S0167-2789(99)00161-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A recently proposed model of macroscopic friction is investigated using methods of dynamical systems analysis. Particular emphasis is put on the bifurcations associated with the appearance of stick-slip oscillations. In the model it is found that the existence of these oscillations is a result of a periodic orbit straddling a discontinuity in the first derivative of the vector field. A local analysis tool is developed to discuss the stability of such an orbit and its bifurcations due to changes in system parameters. The analysis tool is found to be highly efficient at quantitatively predicting the location and type of bifurcations. It is argued that the method and the general results are applicable to a large class of friction models containing similar discontinuities and thus, hopefully, to actual frictional dynamics. (C)2000 Elsevier Science B.V. All rights reserved.

引用

页码：280 / 302

页数：23

共 41 条

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2-K

[12] A NEW MODEL FOR CONTROL OF SYSTEMS WITH FRICTION [J].