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

G Litak; M Borowiec; MI Friswell; K Szabelski

doi:10.1016/j.cnsns.2007.01.003

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

G Litak, M Borowiec, MI Friswell, K Szabelski

Department of Aerospace Engineering

Research output: Contribution to journal › Article (Academic Journal) › peer-review

94 Citations (Scopus)

Abstract

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.

Translated title of the contribution	Chaotic vibration of a quarter-car model excited by the road surface profile
Original language	English
Pages (from-to)	1373 - 1383
Number of pages	11
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	13 (7)
DOIs	https://doi.org/10.1016/j.cnsns.2007.01.003
Publication status	Published - Sept 2008

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Publisher: Elsevier

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10.1016/j.cnsns.2007.01.003

http://www.aer.bris.ac.uk/contact/academic/friswell/paper_ft.html

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@article{67841143c670439bb4fec9ac3dd4a743,

title = "Chaotic vibration of a quarter-car model excited by the road surface profile",

abstract = "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.",

author = "G Litak and M Borowiec and MI Friswell and K Szabelski",

note = "Publisher: Elsevier",

year = "2008",

month = sep,

doi = "10.1016/j.cnsns.2007.01.003",

language = "English",

volume = "13 (7)",

pages = "1373 -- 1383",

journal = "Communications in Nonlinear Science and Numerical Simulation",

issn = "1007-5704",

publisher = "Amsterdam:Elsevier",

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TY - JOUR

T1 - Chaotic vibration of a quarter-car model excited by the road surface profile

AU - Litak, G

AU - Borowiec, M

AU - Friswell, MI

AU - Szabelski, K

N1 - Publisher: Elsevier

PY - 2008/9

Y1 - 2008/9

N2 - 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.

AB - 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.

U2 - 10.1016/j.cnsns.2007.01.003

DO - 10.1016/j.cnsns.2007.01.003

M3 - Article (Academic Journal)

SN - 1007-5704

VL - 13 (7)

SP - 1373

EP - 1383

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

ER -

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

Abstract

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