Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 2256-2268 |
| Number of pages | 14 |
| Journal | Journal of Vibration and Control |
| Volume | 23 |
| Issue number | 14 |
| Early online date | 1 Nov 2015 |
| DOIs | |
| Publication status | Published - 1 Aug 2017 |
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Keywords
- parametric pendulum
- time-delayed feedback method
- bifurcation control
- experimental dynamics
Cite this
Experimental bifurcation control of a parametric pendulum. / de Paula, Aline S.; Savi, Marcelo A.; Vaziri, Vahid; Pavlovskaia, Ekaterina; Wiercigroch, Marian.
In: Journal of Vibration and Control, Vol. 23, No. 14, 01.08.2017, p. 2256-2268.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Experimental bifurcation control of a parametric pendulum
AU - de Paula, Aline S.
AU - Savi, Marcelo A.
AU - Vaziri, Vahid
AU - Pavlovskaia, Ekaterina
AU - Wiercigroch, Marian
N1 - Acknowledgments The authors would like to thank the Brazilian Research Agencies CNPq, CAPES and FAPERJ and through the INCT-EIE (National Institute of Science and Technology - Smart Structures in Engineering) the CNPq and FAPEMIG for their support. The Air Force Office of Scientific Research (AFOSR) is also acknowledged. Funding The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: The authors would like to acknowledge the support of ANP, FINEP and MCT through PRH-PB/MCT, and also the support of Petrobras. The authors also would like to thank the Brazilian Research Agencies CNPq, CAPES and FAPERJ and through the INCT-EIE (National Institute of Science and Technology - Smart Structures in Engineering) the CNPq and FAPEMIG for their support. The Air Force Office of Scientific Research (AFOSR) is also acknowledged.
PY - 2017/8/1
Y1 - 2017/8/1
N2 - The aim of the study is to maintain the desired period-1 rotation of the parametric pendulum over a wide range of the excitation parameters. Here the Time-Delayed Feedback control method is employed to suppress those bifurcations, which lead to loss of stability of the desired rotational motion. First, the nonlinear dynamic analysis is carried out numerically for the system without control. Specifically, bifurcation diagrams and basins of attractions are computed showing co-existence of oscillatory and rotary attractors. Then numerical bifurcation diagrams are experimentally validated for a typical set of the system parameters giving undesired bifurcations. Finally, the control has been implemented and investigated both numerically and experimentally showing a good qualitative agreement.
AB - The aim of the study is to maintain the desired period-1 rotation of the parametric pendulum over a wide range of the excitation parameters. Here the Time-Delayed Feedback control method is employed to suppress those bifurcations, which lead to loss of stability of the desired rotational motion. First, the nonlinear dynamic analysis is carried out numerically for the system without control. Specifically, bifurcation diagrams and basins of attractions are computed showing co-existence of oscillatory and rotary attractors. Then numerical bifurcation diagrams are experimentally validated for a typical set of the system parameters giving undesired bifurcations. Finally, the control has been implemented and investigated both numerically and experimentally showing a good qualitative agreement.
KW - parametric pendulum
KW - time-delayed feedback method
KW - bifurcation control
KW - experimental dynamics
U2 - 10.1177/1077546315613237
DO - 10.1177/1077546315613237
M3 - Article
VL - 23
SP - 2256
EP - 2268
JO - Journal of Vibration and Control
JF - Journal of Vibration and Control
SN - 1077-5463
IS - 14
ER -