Chaotic vibration of a quarter-car model excited by the road surface profile

被引:82
作者
Litak, Grzegorz [1 ]
Borowiec, Marek [1 ]
Friswell, Michael I. [2 ]
Szabelski, Kazimierz [1 ]
机构
[1] Tech Univ Lublin, Dept Appl Sci, PL-20618 Lublin, Poland
[2] Univ Bristol, Dept Aerosp Engn, Bristol BS8 1TR, Avon, England
关键词
melnikov criterion; chaotic vibration; quarter-car; sky hook; magnetorheological dampers;
D O I
10.1016/j.cnsns.2007.01.003
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
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 the road surface profile. By analyzing the potential an analytic expression is found for the homoclinic orbit. By introducing an harmonic excitation term and damping as perturbations, the critical Melnikov amplitude of the road surface profile is found, above which the system can vibrate chaotically. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:1373 / 1383
页数:11
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