Influence of an Energy Source on Regular and Chaotic Vibrations of Coupled Nonlinear Oscillators

• Autorzy: Warmiński J.
• Języki publikacji: EN

Abstrakty

EN

Regular and chaotic vibrations of the system composed of two parametrically and self-excited oscillators are analysed in the paper. The considered system is excited by a non-ideal energy source represented by DC motor with limited power supply. Interactions between different vibration types, bifurcation and the synchronisation regions are found by analytical and numerical methods. Influence of the most important parameters on transition through resonance areas is presented. Possible chaotic motions are determined by Lyapunov exponent criterion.

Słowa kluczowe

EN

non-ideal system; self-excitation; parametric; chaos; synchronisation; vibrations

PL

system nielinearny; samowzbudzenie; metoda parametryczna; chaos

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 2007
• Tom: Vol. 31, No. 1
• Strony: 101--119
• Opis fizyczny: Bibliogr. 11 poz., rys., tab., wykr.

Twórcy

autor

Warmiński J.

• Lublin University of Technology, Departament of Applied Mechanics,

Bibliografia

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• Kononenko, V.O., 1969, Vibrating Systems with Limited Power Supply, London, Iliffe.
• Nusse, H.E., Yorke J.A., 1998, Dynamics: Numerical Explorations, Springer Verlag. Sommerfeld, A., 1902, Zeitschrift des Vereins Deutsher Ingenieure, 46, Berlin, 391-394.
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• Szabelski, K., Warmiński, J., 1995, The self-excited system vibrations with the parametric and external excitations, Journal of Sound and Vibration, 187 (4), 595-607, Elsevier.
• Szabelski, K., Warmiński, J., 1997, Vibrations of a Non-Linear Self-Excited System with Two Degrees of Freedom under External and Parametric Excitation, Journal of Nonlinear Dynamics, 14, 23-36, Kluwer Academic Publishers.
• Tondl, A., 1978, On the interaction between self-excited and parametric vibrations, Monographs and Memoranda, National Research Institute for Machine Design, No 25, Prague.
• Tondl, A., Ecker, H., 1999, Cancelling of Self-Excited Vibrations by Means of Parametric Excitation, Proceedings of the 1999 ASME Design Engineering Technical Conferences, DETC9/VIB-8071, Las Vegas, Nevada, USA.
• Warmiński, J., 2001, Regular and Chaotic Vibrations of Parametrically and Self-Excited Systems with Ideal and Non-Ideal Energy Sources (in Polish), Technical University of Lublin Publisher.