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

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...

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Main Authors: Juan Carlos Jauregui-Correa, Carlos S. López-Cajun, Mihir Sen
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2017/8017138
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author Juan Carlos Jauregui-Correa
Carlos S. López-Cajun
Mihir Sen
author_facet Juan Carlos Jauregui-Correa
Carlos S. López-Cajun
Mihir Sen
author_sort Juan Carlos Jauregui-Correa
collection DOAJ
description 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).
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publishDate 2017-01-01
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spelling doaj-art-791aaefb81b9463aa000fddc99cd93d52025-02-03T01:10:23ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/80171388017138Determining the Coupling Source on a Set of Oscillators from Experimental DataJuan Carlos Jauregui-Correa0Carlos S. López-Cajun1Mihir Sen2División de Investigación y Posgrado, Facultad de Ingeniería, Universidad Autónoma de Querétaro, 76010 Santiago de Querétaro, QRO, MexicoDepartamento de Ingeniería Mecánica, Facultad de Ingeniería, Universidad Autónoma de Querétaro, 76010 Santiago de Querétaro, QRO, MexicoDepartment of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556, USAComplex 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).http://dx.doi.org/10.1155/2017/8017138
spellingShingle Juan Carlos Jauregui-Correa
Carlos S. López-Cajun
Mihir Sen
Determining the Coupling Source on a Set of Oscillators from Experimental Data
Complexity
title Determining the Coupling Source on a Set of Oscillators from Experimental Data
title_full Determining the Coupling Source on a Set of Oscillators from Experimental Data
title_fullStr Determining the Coupling Source on a Set of Oscillators from Experimental Data
title_full_unstemmed Determining the Coupling Source on a Set of Oscillators from Experimental Data
title_short Determining the Coupling Source on a Set of Oscillators from Experimental Data
title_sort determining the coupling source on a set of oscillators from experimental data
url http://dx.doi.org/10.1155/2017/8017138
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