Transition to chaos and escape phenomenon in two-degrees-of-freedom oscillator with a kinematic excitation

被引：0
作者：
Marek Borowiec
Grzegorz Litak
机构：
[1] Lublin University of Technology,Department of Applied Mechanics
来源：
Nonlinear Dynamics | 2012年 / 70卷
关键词：
Nonlinear oscillations; Vehicle suspension; Recurrence plot;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the dynamics of a two-degrees-of-freedom (two-DOF) nonlinear oscillator representing a quarter-car model excited by a road roughness profile. Modeling the road profile by means of a harmonic function, we derive the Melnikov criterion for a system transition to chaos or escape. The analytically obtained estimations are confirmed by numerical simulations. To analyze the transient vibrations, we used recurrences.
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页码：1125 / 1133
页数：8
相关论文
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[1]  
Verros G.(2000)Control and dynamics of quarter-car models with dual-rate damping J. Vib. Control 6 1045-1063
[2]  
Natsiavias S.(2001)Analytical description and optimization of the dynamic behaviour of passively suspended road vehicles J. Sound Vib. 245 457-481
[3]  
Stepan G.(2004)On non-linear stochastic dynamics of quarter car models Int. J. Non-Linear Mech. 39 753-765
[4]  
Gobbi M.(2004)Investigation on chaotic motion in hysteretic non-linear suspension system with multi-frequency excitations Mech. Res. Commun. 31 229-236
[5]  
Mastinu G.(2008)Response of a magneto-rheological fluid damper subjected to periodic forcing in a high frequency limit Z. Angew. Math. Mech. 88 1000-1004
[6]  
Von Wagner U.(2009)Establishing the limiting conditions of operation of magneto-rheological fluid dampers in vehicle suspension systems Mech. Res. Commun. 8 957-962
[7]  
Li S.(2005)A study of random vibration characteristics of the quarter-car model J. Sound Vib. 282 111-124
[8]  
Yang S.(2005)Design optimization of quarter-car models with passive and semi-active suspensions under random road excitation J. Vib. Control 11 581-606
[9]  
Guo W.(2003)Chaos in vehicle suspension system with hysteretic nonlinearity J. Vib. Meas. Diagn. 23 86-89
[10]  
Litak G.(2005)Dynamic analysis of a nonlinear system under semi-active control J. Vib. Eng. 18 219-222
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