Chaotic Vibration of a Quarter-Car Model Excited by the Road Surface Profile
G Litak, M Borowiec (Lublin University, Poland), MI Friswell (University of Bristol) & K Szabelski (Lublin University, Poland)
Communications in Nonlinear Science and Numerical Simulations, Vol. 13, No. 7, September 2008, pp. 1373-1383
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.
This material has been published in the Communications in Nonlinear Science and Numerical Simulations, Vol. 13, No. 7, September 2008, pp. 1373-1383, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by the Elsevier.
Link to paper using doi:10.1016/j.cnsns.2007.01.003
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