Original scientific paper

Chaos in the constrained resonant system

Edvard Govekar ; Faculty of Mechanical Engineering, University E. Kardelj, p. p. 394, 61 000 Ljubljana, Yugoslavia
Igor Grabec ; Faculty of Mechanical Engineering, University E. Kardelj, p. p. 394, 61 000 Ljubljana, Yugoslavia

Abstract

The article presents computer simulation of a harmonically forced, damped mechanical oscillator in which the motion is restricted on one side of the equilibrium position by a fixed wall. Due to elastic impacts with the wall, chaotic movement results if the system dissipation is low. With increasing driving amplitude, the transition from harmonic to chaotic, and further to nonlinear periodic motion is observed. The corresponding changes of the attractor are shown by its projections onto the (X, X) plane. They are characterized by the Poincaré section and correlation dimension. The properties of typical oscillations are represented by the spectral distributions.

Keywords

Hrčak ID:

331483

URI

https://hrcak.srce.hr/331483

Publication date:

7.5.1989.

Article data in other languages: slovenian

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