Chaos in non-ideal mechanical system with clearance(Article)
- Faculty of Technical Sciences, Trg D. Obradovica 6, 21000 Novi Sad, Serbia
Abstract
In this paper a non-ideal mechanical system with clearance is considered. The mechanical model of the system is an oscillator connected with an unbalanced motor. Due to the existence of clearance the connecting force between motor and the fixed part of the system is discontinuous but linear. The mathematical model of the system is represented by two coupled second-order differential equations. The transient and steady-state motion and also the stability of the system are analyzed. The Sommerfeld effect is detected. For certain values of the system parameters the motion is chaotic. This is caused by the period doubling bifurcation. The existence of chaos is proved with maximal Lyapunov exponent. A new chaos control method based on the known energy analysis is introduced and the chaotic motion is transformed into a periodic one. © 2009 SAGE.
Indexed keywords
| Engineering uncontrolled terms | ChaosChaos control.Chaotic motionsEnergy analysisMaximal Lyapunov exponentMechanical modelMechanical systemsNon-ideal systemPeriod doubling bifurcationSecond-order differential equationSommerfeld effectSteady-state oscillations |
|---|---|
| Engineering controlled terms: | Energy managementEquations of motionLarge scale systemsMathematical modelsMechanicsMechatronicsMotorsVibration control |
| Engineering main heading: | Chaotic systems |
- ISSN: 10775463
- CODEN: JVCOF
- Source Type: Journal
- Original language: English
- DOI: 10.1177/1077546308091216
- Document Type: Article
Zukovic, M.; Faculty of Technical Sciences, Trg D. Obradovica 6, Serbia
© Copyright 2009 Elsevier B.V., All rights reserved.
Cited by 42 documents
(2023) Lecture Notes in Mechanical Engineering
(2022) Lecture Notes in Networks and Systems
(2021) Nonlinear Dynamics