Transition to chaos and escape phenomenon in two-degrees-of-freedom oscillator with a kinematic excitation
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.
- Transition to chaos and escape phenomenon in two-degrees-of-freedom oscillator with a kinematic excitation
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Volume 70, Issue 2 , pp 1125-1133
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- Springer Netherlands
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- Nonlinear oscillations
- Vehicle suspension
- Recurrence plot
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