Chaotic frictional vibrations excited by a quasiperiodic load

被引：8
|
作者：
Avramov, K. V. [1 ]
机构：
[1] Natl Tech Univ, Kharkov Polytech Inst, Kharkov, Ukraine
来源：
INTERNATIONAL APPLIED MECHANICS | 2006年 / 42卷 / 09期
关键词：
frictional vibrations; quasiperiodic load; Duffing oscillator; chaotic vibrations; modulation; heteroclinic Melnikov function; numerical modeling;
D O I：
10.1007/s10778-006-0178-9
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A Duffing oscillator frictionally interacting with a moving belt under a quasiperiodic load is studied. The multiple-scales method is used to derive a system of two nonautonomous equations with small parameters, which describes the modulation of vibrations. It is shown that the system of modulation equations has a heteroclinic structure. Melnikov functions are used to analyze the domain of heteroclinic chaos.
引用
收藏
页码：1071 / 1076
页数：6
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