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Chaotic behavior of mechanical vibro impact system
with two degrees of freedom and possibilities of
chaotic behavior of quarter vehicle model
JUMV_SMV_09/72

Authors

Aleksandar Kostic - Faculty of Mechanical Engineering Skopje
Milan Kosevski - Faculty of Mechanical Engineering Skopje
Ljupco Kocarev - Faculty of Mechanical Engineering Skopje
Darko Danev - Faculty of Mechanical Engineering Skopje
Igor Gjurkov - Faculty of Mechanical Engineering Skopje

Abstract

Keywords: mechanical vibro impact system, bifurcation diagram, largest Ljapunow exponents, attractors, Poincare sections.

In this paper, a mechanical vibro impact system with two degrees of freedom is analyzed. The dynamical behavior of the system is determined using different tools from dynamical systems theory, including bifurcation diagrams, largest Lyapunov exponent, and Poincare cross sections. Depending on the angular velocity of the excitation, the system shows both periodic and chaotic behavior. The same procedure is than used to examine the possibility of chaotic behavior of quarter vehicle model.

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