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The chaotic dynamics of vibrational mechanisms with energy sources of limited power

✍ Scribed by N.N. Verichev; S.N. Verichev; V.I. Yerofeyev

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
447 KB
Volume
71
Category
Article
ISSN
0021-8928

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✦ Synopsis

The dynamics of a vibrational mechanism with an energy source of limited power is considered. A system of two degrees of freedom is reduced to a system of the Lorenz type by the method of averaging. The existence of one of the types of chaotic attractors in a dynamical system which is a vibrational mechanism, that is, a Lorenz attractor, is established by this. The existence of a Feigenbaum attractor and intermittence is also established. Chaotic limit sets determine the chaotic behaviour of the instantaneous frequency of rotation of an asynchronous motor. The qualitative patterns of the rotational characteristic are constructed for different values of the parameters of the system and a physical interpretation of the results is given.

πŸ“œ SIMILAR VOLUMES

The dynamics of a β€œflexible-rotor/limite
The dynamics of a β€œflexible-rotor/limited-power-excitation-source” system
✍ N.N. Verichev; S.N. Verichev; V.I. Yerofeyev πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 282 KB

A "flexible-rotor/limited-power-excitation-source" dynamical system, which is a model of the vibrations of shafts driven by a motor of limited power is considered. The types of rotation characteristics of the motor and resonance characteristics of the shaft in the resonance parameter zone for differ