
Paweł Fritzkowski, Roman Starosta, Grażyna Sypniewska-Kamińska, Jan Awrejcewicz. Dynamics of a periodically driven chain of coupled nonlinear oscillators[J]. Journal of Zhejiang University Science A, 2017, 18(7): 497-510.
@article{title="Dynamics of a periodically driven chain of coupled nonlinear oscillators",
author="Paweł Fritzkowski, Roman Starosta, Grażyna Sypniewska-Kamińska, Jan Awrejcewicz",
journal="Journal of Zhejiang University Science A",
volume="18",
number="7",
pages="497-510",
year="2017",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1600628"
}
%0 Journal Article
%T Dynamics of a periodically driven chain of coupled nonlinear oscillators
%A Paweł Fritzkowski
%A Roman Starosta
%A Grażyna Sypniewska-Kamińska
%A Jan Awrejcewicz
%J Journal of Zhejiang University SCIENCE A
%V 18
%N 7
%P 497-510
%@ 1673-565X
%D 2017
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1600628
TY - JOUR
T1 - Dynamics of a periodically driven chain of coupled nonlinear oscillators
A1 - Paweł Fritzkowski
A1 - Roman Starosta
A1 - Grażyna Sypniewska-Kamińska
A1 - Jan Awrejcewicz
J0 - Journal of Zhejiang University Science A
VL - 18
IS - 7
SP - 497
EP - 510
%@ 1673-565X
Y1 - 2017
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1600628
Abstract: A 1D chain of coupled oscillators is considered, including the Duffing-type nonlinearity, viscous damping, and kinematic harmonic excitation. The equations of motion are presented in a non-dimensional form. The approximate equations for the vibrational amplitudes and phases are derived by means of the classical averaging method. A simple analysis of the resulting equations allows one to determine the conditions for the two basic synchronous steady-states of the system: the in-phase and anti-phase motions. The relations between the required excitation frequency and the natural frequencies of the abbreviated (linear) system are discussed. The validity of these predictions is examined by a series of numerical experiments. The effect of the model parameters on the rate of synchronization is analyzed. For the purpose of systematic numerical studies, the cross-correlation of time-series is used as a measure of the phase adjustment between particular oscillators. Finally, some essential issues that arise in case of the mechanical system with dry friction are indicated.
CLC number: O313; O32
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2017-06-12
Cited: 0
Clicked: 7211
Open peer comments: Debate/Discuss/Question/Opinion
<1>