Chaotic response of a quarter car model forced by a road profile with a stochastic component

被引：46
|
作者：
Litak, Grzegorz [1 ]
Borowiec, Marek [1 ]
Friswell, Michael I. [2 ]
Przystupa, Wojciech [3 ]
机构：
[1] Tech Univ Lublin, Dept Appl Mech, PL-20618 Lublin, Poland
[2] Univ Bristol, Dept Aerosp Engn, Bristol BS8 1TR, Avon, England
[3] Agr Univ Lublin, Dept Appl Math, PL-20950 Lublin, Poland
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 05期
关键词：
NOISE-INDUCED CHAOS; H-INFINITY CONTROL; MAGNETORHEOLOGICAL DAMPER; VEHICLE SUSPENSION; FULL-VEHICLE; OSCILLATOR; VIBRATION; MOTION; SYSTEM; OPTIMIZATION;
D O I：
10.1016/j.chaos.2007.07.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Melnikov criterion is used to examine a global homoclinic bifurcation and transition to chaos in the case of a quarter car model excited kinematically by a road surface profile consisting of harmonic and noisy components. By analyzing the potential all analytic expression is found for the homoclinic orbit. The road profile excitation including harmonic and random characteristics as well as the damping arc treated as perturbations of a Hamiltonian system. The critical Melnikov amplitude of the road surface profile is found, above which the system can vibrate chaotically. This transition is analyzed for different levels of noise and illustrated by numerical simulations. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：2448 / 2456
页数：9
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