Stick-slip chaos detection in coupled oscillators with friction

被引：39
|
作者：
Awrejcewicz, J [1 ]
Sendkowski, D [1 ]
机构：
[1] Tech Univ Lodz, Dept Automat & Biomech, PL-90924 Lodz, Poland
来源：
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2005年 / 42卷 / 21-22期
关键词：
chaos; Coulomb friction; Melnikov's method;
D O I：
10.1016/j.ijsolstr.2005.03.018
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We consider two coupled oscillators with negative Duffing type stiffness which are self (due to friction) and externally (harmonically) excited. The fundamental solutions of the homoclinic orbit are constructed. Then, the Melnikov-Gruendler approach is used to define the Melnikov's function including smooth and stick-slip chaotic behaviour. Theoretical considerations are supported by numerical examples. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：5669 / 5682
页数：14
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