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.

引用

页码：12 / 24

页数：13

共 10 条

[1] Melnikov's method and stick-slip chaotic oscillations in very weakly forced mechanical systems [J].

Awrejcewicz, J ;

Holicke, MM .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (03) :505-518

[2] Thermoelastic contact of a rotating shaft with a rigid bush in conditions of bush wear and stick-slip movements [J].

Awrejcewicz, J ;

Pyryev, Y .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2002, 40 (10) :1113-1130

[3]

Awrejcewicz J., 1991, BIFURCATION CHAOS CO

[4]

AWREJCEWICZ J, 2003, NONCLASSICAL THERMOE

[5]

AWREJCEWICZ J, 1985, BIFURCATION CHAOS SI

[6] Suppression of chaos in averaged oscillator driven by external and parametric excitations [J].

Belhaq, M ;

Houssni, M .

CHAOS SOLITONS & FRACTALS, 2000, 11 (08) :1237-1246

[7] Chaotic dynamics for perturbations of infinite-dimensional Hamiltonian systems [J].

Berti, M ;

Carminati, C .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 48 (04) :481-504

[8] Periodic and chaotic behaviour in a reduced form of the perturbed generalized Korteweg-deVries and Kadomtsev-Petviashvili equations [J].

Cao, Q ;

Djidjeli, K ;

Price, WG ;

Twizell, EH .

PHYSICA D, 1999, 125 (3-4) :201-221

[9] Higher-order Melnikov functions for single-DOF mechanical oscillators: Theoretical treatment and applications [J].

Lenci, S ;

Rega, G .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2004, (02) :145-168

[10]

Melnikov VK., 1963, Trans. Moscow Math. Soc, V12, P1

← 1 →