Analysis of vibration of three-degree-of-freedom dynamical system with double pendulum

• Autorzy: Sado D. , Gajos K.

Warianty tytułu

PL

Analiza drgań dynamicznego układu z podwójnym wahadłem o trzech stopniach swobody

• Języki publikacji: EN

Abstrakty

EN

The nonlinear response of a three-degree-of-freedom vibratory system with a double pendulum in the neighborhood of internal and external resonances has been examined. Numerical and analytical methods have been applied for these investigations. Analytical solutions have been obtained by using the multiple scales method. This method is used to construct first-order non- linear ordinary differential equations governing the modulation of amplitudes and phases. Steady state solutions and their stability are computed for selected values of the system parameters.

PL

W pracy przebadano drgania nieliniowego układu o trzech stopniach swobody z podwójnym wahadłem w otoczeniu rezonansów wewnętrznych i zewnętrznych. Badania przeprowadzono analitycznie i numerycznie. Rozwiązanie analityczne uzyskano przy użyciu metody wielu skali czasowych. Metoda posłużyła do zbudowania nieliniowych równań różniczkowych pierwszego rzędu opisujących modulację amplitud i faz. Rozwiązanie ustalone i jego stabilność zostały przedstawione dla wybranych wartości parametrów układu.

Słowa kluczowe

EN

nonlinear coupled oscillators; autoparametric vibrations; multiple scale method

PL

metoda wielu skal; nieliniowe równania drgań

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2008
• Tom: Vol. 46 nr 1
• Strony: 141--156
• Opis fizyczny: Bibliogr. 17 poz., rys.

Twórcy

autor

Sado D.

autor

Gajos K.

• Warsaw University of Technology, Poland,

Bibliografia

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