Chaos prediction in the duffing-type system with friction using Melnikov's function

被引：29
|
作者：
Awrejcewicz, J [1 ]
Pyryev, Y [1 ]
机构：
[1] Tech Univ Lodz, Dept Automat & Biomech, PL-90924 Lodz, Poland
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2006年 / 7卷 / 01期
关键词：
Melnikov's function; chaos; duffing-type system; rotating shaft; rigid bush; friction;
D O I：
10.1016/j.nonrwa.2005.01.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Nonlinear equations governing chaotic dynamics exhibited by a class of lumped mechanical systems with dry friction are analysed. It is shown that the obtained corresponding Melnikov's function can be simplified in some cases to yield analytical conditions for chaos occurrence. The analytical predictions are verified numerically. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：12 / 24
页数：13
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