Parametrically excited non-linear systems: a comparison of two methods

• Autorzy: El-Bassiouny A. F.
• Języki publikacji: EN

Abstrakty

EN

Subharmonic resonance of two-degree-of-freedom systems with cubic nonlinearities to multifrequency parametric excitations in the presence of three-to-one internal resonance is investigated. Two approximate methods (the multiple scales and the generalized synchronization) are used to construct a firs-order non-linear ordinary differential equations governing the modulation of the amplitudes and phases. Steady state solutions and their stability are computed for selected values of the system parameters. The results obtained by the two methods are in excellent agreement. Numerical solutions are carried out and graphical representations of the results are presented and discussed.

Słowa kluczowe

EN

non-linear vibration; two-mode response; multiple scales method; generalized synchronization method; multifrequency excitations; resonances; stability

PL

drgania nieliniowe; metoda analizy wieloskalowej; rezonans; metoda synchroniczna; stateczność

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2001
• Tom: Vol. 5, nr 1
• Strony: 21--40
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

El-Bassiouny A. F.

• Mathematics Department, Faculty of Science, Benha University, Benha 13518, Egypt

Bibliografia

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