期刊
JOURNAL OF SOUND AND VIBRATION
卷 430, 期 -, 页码 214-230出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2018.05.032
关键词
Double pendulum; Magnets; Modelling; Experiment; Bifurcation; Chaos
资金
- Polish National Science Centre [OPUS 14, 2017/27/B/ST8/01330]
Chaotic and regular behavior of the system consisting of a double physical pendulum with two repulsive permanent magnets is studied. We are focused on mathematical modelling, numerical simulations, experimental measurements and in particular on a novel magnetic interaction modelling. System parameters are identified by matching the output signals from experiments and numerical solutions to the developed mathematical model governed by a strongly non-linear set of two second order ODEs including the friction and the magnetic interaction torques. Considered system shows chaotic and periodic dynamics. Few chaotic zones have been detected numerically and confirmed experimentally. Scenarios of transition from regular to chaotic motion and vice versa, as well as the bifurcation diagrams are illustrated and discussed. Good agreement between the numerical simulation and experimental measurement is achieved. (C) 2018 Elsevier Ltd. All rights reserved.
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