Display Abstract
Title Lyapunov exponents of an impact oscillator with Hertz's and Newton's model of contact
Name Wioleta Serweta
Country Poland
Email w.serweta@wp.pl
Co-Author(s) Andrzej Okolewski, Barbara Blazejczyk Okolewska, Krzysztof Czolczynski, Tomasz Kapitaniak
Submit Time 2014-02-27 07:38:13
Session
Special Session 25: Dynamics of chaotic and complex systems and applications
Contents
The paper is concerned with the analysis of motion of a harmonically excited one - degree - of - freedom mechanical system having an amplitude constraint. The contact between the oscillated mass and the barrier is modeled on the basis of Newton's law as well as Hertz's law with nonlinear damping. The influence of the frequency of excitation force of the system's behavior is studied. The spectrums of Lyapunov exponents are calculated in a wide range of control parameter. The dynamical behaviors of two systems with impacts: a system with hard impacts and system with Hertz's impacts, which are equivalent in the sense of the same rate of impact energy dissipation, are compared and strong qualitative and quantitative similarities are observed.
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