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[35454] Artykuł:

Coupled nonlinear oscillators: metamorphoses of amplitude profiles. The case of the approximate effective equation

Czasopismo: Acta Physica Polonica B   Tom: 42, Zeszyt: 10, Strony: 2063-2076
ISSN:  0587-4254
Wydawca:  POLISH ACAD SCIENCES INST PHYSICS, AL LOTNIKOW 32-46, PL-02-668 WARSAW, POLAND
Opublikowano: Pażdziernik 2011
 
  Autorzy / Redaktorzy / Twórcy
Imię i nazwisko Wydział Katedra Procent
udziału
Liczba
punktów
Jan Kyzioł orcid logoWMiBMKatedra Mechaniki**5020.00  
Andrzej Okniński orcid logoWZiMKKatedra Fizyki *****5020.00  

Grupa MNiSW:  Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A)
Punkty MNiSW: 20
Klasyfikacja Web of Science: Article


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Abstract:

We study dynamics of two coupled periodically driven oscillators. Important example of such a system is a dynamic vibration absorber which consists of a small mass attached to the primary vibrating system of a large mass. Periodic solutions of the approximate effective equation derived in our earlier work are determined within the Krylov-Bogoliubov-Mitropolsky (KBM) approach used to compute the amplitude profiles A(Omega). Dependence of the amplitude A of nonlinear resonances on the frequency Omega is much more complicated than in the case of one Duffing oscillator and hence new nonlinear phenomena are possible. In the present paper we study metamorphoses of the function A(Omega) induced by changes of the control parameters near a singular point of this function. It follows that dynamics can be. controlled in the neighbourhood of a singular point.