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Transition to chaos and escape phenomenon in two-degrees-of-freedom oscillator with a kinematic excitation

Nonlinear Dynamics (2012) 70(2) 1125-1133
DOI: 10.1007/s11071-012-0518-8
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Abstract

We study the dynamics of a two-degreesof- 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. © The Author(s) 2012.

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Borowiec, M., & Litak, G. (2012). Transition to chaos and escape phenomenon in two-degrees-of-freedom oscillator with a kinematic excitation. Nonlinear Dynamics, 70(2), 1125–1133. https://doi.org/10.1007/s11071-012-0518-8

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