Chaotic Response of a Quarter-Car Model Forced by a Road Profile with a Stochastic Component

G Litak, M Borowiec (University of Lublin, Poland), MI Friswell (University of Bristol) & W Przystupa (Natural Science University of Lublin, Poland)

Chaos Solitons and Fractals, Vol. 39, No. 5, March 2009, pp. 2448-2456


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 of harmonic and noisy terms. By analyzing the potential an analytic expression is found for the homoclinic orbit. By introducing a profile excitation terms of harmonic and random character and damping as perturbations, the critical Melnikov amplitude of the road surface profile is found, above which the system can vibrate chaotically. This transition is analyzed for different strength of noise.

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This material has been published in the Chaos Solitons and Fractals, Vol. 39, No. 5, March 2009, pp. 2448-2456. Unfortunately the copyright agreement with Elsevier does not allow for the PDF file of the paper to be available on this website.

Link to paper using doi: 10.1016/j.chaos.2007.07.021

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