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Complexity
Volume 2017 (2017), Article ID 8017138, 10 pages
https://doi.org/10.1155/2017/8017138
Research Article

Determining the Coupling Source on a Set of Oscillators from Experimental Data

1División de Investigación y Posgrado, Facultad de Ingeniería, Universidad Autónoma de Querétaro, 76010 Santiago de Querétaro, QRO, Mexico
2Departamento de Ingeniería Mecánica, Facultad de Ingeniería, Universidad Autónoma de Querétaro, 76010 Santiago de Querétaro, QRO, Mexico
3Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556, USA

Correspondence should be addressed to Juan Carlos Jauregui-Correa; xm.qau@iugeruaj.cj

Received 9 January 2017; Accepted 5 April 2017; Published 4 May 2017

Academic Editor: Jia Wu

Copyright © 2017 Juan Carlos Jauregui-Correa et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Complex systems are a broad concept that comprises many disciplines, including engineering systems. Regardless of their particular behavior, complex systems share similar behaviors, such as synchronization. This paper presents different techniques for determining the source of coupling when a set of oscillators synchronize. It is possible to identify the location and time variations of the coupling by applying a combination of analytical techniques, namely, the source of synchronization. For this purpose, the analysis of experimental data from a complex mechanical system is presented. The experiment consisted in placing a 24-bladed rotor under an airflow. The vibratory motion of the blades was recorded with accelerometers, and the resulting information was analyzed with four techniques: correlation coefficients, Kuramoto parameter, cross-correlation functions, and the recurrence plot. The measurements clearly show the existence of frequencies due to the foreground components and the internal interaction between them due to the background components (coupling).