This paper examines synchronization of a set of metronomes placed on a lightweight foam platform. Two configurations of the set of metronomes are considered: a row setup containing one-dimensional coupling and a cross setup containing two-dimensional coupling. Depending on the configuration and coupling between the metronomes, i.e., the platform parameters, in- and/or anti-phase synchronized behavior is observed in the experiments. To explain this behavior, mathematical models of a metronome and experimental setups have been derived and used in a local stability analysis. It is numerically and experimentally demonstrated that varying the coupling parameters for both configurations has a significant influence on the stability of the synchronized solutions.
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November 2016
Research Article|
October 25 2016
Huygens' inspired multi-pendulum setups: Experiments and stability analysis
F. N. Hoogeboom;
F. N. Hoogeboom
a)
1Department of Mechanical Engineering,
Eindhoven University of Technology
, Eindhoven, The Netherlands
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A. Y. Pogromsky;
A. Y. Pogromsky
b)
1Department of Mechanical Engineering,
Eindhoven University of Technology
, Eindhoven, The Netherlands
2Department of Control Systems and Industrial Robotics,
Saint Petersburg National Research University of Information Technologies
, Mechanics and Optics, St. Petersburg, Russia
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H. Nijmeijer
H. Nijmeijer
c)
1Department of Mechanical Engineering,
Eindhoven University of Technology
, Eindhoven, The Netherlands
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Chaos 26, 116304 (2016)
Article history
Received:
May 10 2016
Accepted:
August 09 2016
Citation
F. N. Hoogeboom, A. Y. Pogromsky, H. Nijmeijer; Huygens' inspired multi-pendulum setups: Experiments and stability analysis. Chaos 1 November 2016; 26 (11): 116304. https://doi.org/10.1063/1.4965031
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