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

被引：26
作者：
Borowiec, Marek [1 ]
Litak, Grzegorz [1 ]
机构：
[1] Lublin Univ Technol, Dept Appl Mech, PL-20618 Lublin, Poland
来源：
NONLINEAR DYNAMICS | 2012年 / 70卷 / 02期
关键词：
Nonlinear oscillations; Vehicle suspension; Recurrence plot; QUARTER-CAR MODEL; MAGNETO-RHEOLOGICAL DAMPER; ROAD SURFACE PROFILE; RECURRENCE PLOTS; VEHICLE MODEL; VIBRATION; DYNAMICS; SYSTEMS; OPTIMIZATION; RESONANCE;
D O I：
10.1007/s11071-012-0518-8
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
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.
引用
收藏
页码：1125 / 1133
页数：9
相关论文
共 50 条
[1]  
Andrzejewski R., 2005, NONLINEAR DYNAMICS W
[2]  
[Anonymous], J VIB MEASUR DIAGNOS
[3]   Nonlinear response of an oscillator with a magneto-rheological damper subjected to external forcing [J].
Borowiec, M. ;
Litak, G. ;
Friswell, M. I. .
MODERN PRACTICE IN STRESS AND VIBRATION ANALYSIS VI, PROCEEDINGS, 2006, 5-6 :277-+
[4]  
Borowiec M, 2010, FORSCH INGENIEURWES, V74, P99, DOI 10.1007/s10010-010-0119-y
[5]   ON THE ONSET OF CHAOTIC DYNAMICS IN ASYMMETRIC OSCILLATORS [J].
BRUHN, B ;
KOCH, BP ;
SCHMIDT, G .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1994, 74 (08) :325-331
[6]  
Brunsden V., 1989, J SOUND VIB, V130, P561
[7]   Recurrence plots revisited [J].
Casdagli, MC .
PHYSICA D, 1997, 108 (1-2) :12-44
[8]  
Ciocogna G., 1987, EPL-EUROPHYS LETT, V3, P963
[9]   RECURRENCE PLOTS OF DYNAMIC-SYSTEMS [J].
ECKMANN, JP ;
KAMPHORST, SO ;
RUELLE, D .
EUROPHYSICS LETTERS, 1987, 4 (09) :973-977
[10]  
[高国生 Gao Guosheng], 2004, [汽车工程, Automotive Engineering], V26, P683
12345