| Issue |
ITM Web Conf.
Volume 15, 2017
II International Conference of Computational Methods in Engineering Science (CMES’17)
|
|
|---|---|---|
| Article Number | 05013 | |
| Number of page(s) | 7 | |
| Section | Exploitation And Machine Building | |
| DOI | https://doi.org/10.1051/itmconf/20171505013 | |
| Published online | 15 December 2017 | |
Recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillator
1 AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Department of Robotics and Mechatronics, Mickiewicz Alley 30, 30-059 Krakow, Poland
2 AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Department of Process Control, Mickiewicz Alley 30, 30-059 Krakow, poland
3 University of Rome Sapienza, Department of Structural and Geotechnical Engineering, via Antonio Gramsci 53, 00192, Rome, Italy
4 Universidade Federal do Rio de Janeiro, COPPE – Mechanical Engineering, Centre for Nonlinear Mechanics, Rio de Janeiro - RJ - Brazil
* Corresponding author: g.litak@pollub.pl
The recurrence analysis is a promising tool for diagnostics of periodic and chaotic solutions, as well as identifying bifurcations. This paper deals with the application of this analysis for the first time to identify regular and non-regular motions of a superelastic shape memory alloy oscillator. The numerical analyses show that the method is capable of distinguishing periodic and chaotic trajectories. Recurrence quantities are applied, showing that different approaches are possible to establish the distinction between periodic and chaotic signals. Basically, recurrence entropy, trapping time, and characteristic recurrence time are considered.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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