Abstract

AbstractCars riding on rough road surfaces possess critical speeds for which the vertical car vibrations become resonant. The paper investigates these effects in case of harmonic and stochastic base excitations. The investigations are extended to nonlinear dynamics to calculate Lyapunov exponents and rotation numbers for quarter car models with bilinear damping characteristics. In the nonlinear case there are critical parameter values of the wheel suspension where stationary car vibrations bifurcate into chaos and exponential growth behavior.Key wordsVertical car dynamicsresonant car speedsbilinear dampingLyapunov exponentschaos and exponential growth

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