Metamorphoses of resonance curves in systems of coupled oscillators

• Autorzy: Kyzioł J. , Okniński A.

Identyfikatory

DOI

10.15632/jtam-pl.54.4.1197

• Języki publikacji: EN

Abstrakty

EN

We study dynamics of two coupled periodically driven oscillators in a general case and compare it with two simplified models. Periodic steady-state solutions to these system equations are determined within the Krylov-Bogoliubov-Mitropolsky approach. Amplitude profiles are computed. These two equations, each describing a surface, define a 3D curve – intersection of these surfaces. In the present paper, we analyse metamorphoses of amplitude profiles induced by changes of control parameters in three dynamical systems studied. It is shown that changes of the dynamics occur in the vicinity of singular points of these 3D curves.

Słowa kluczowe

EN

coupled oscillators; amplitude profiles; singular points

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 4
• Strony: 1197--1204
• Opis fizyczny: Bibliogr. 21 poz., rys.

Twórcy

autor

Kyzioł J.

• Kielce University of Technology, Kielce, Poland

autor

Okniński A.

• Kielce University of Technology, Kielce, Poland

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.