Journal
CHAOS SOLITONS & FRACTALS
Volume 103, Issue -, Pages 307-324Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2017.06.016
Keywords
Shape memory alloys; 0-1 test; Lyapunov exponents; Chaos; Chaos diagnose; Nonlinear dynamics
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Funding
- CNPq [302.709/2013-4]
- CAPES
- FAPERJ [E-26/202.985/2015]
- Air Force Office of Scientific Research (AFOSR) [FA9550-16-0381]
- Foundation for Polish Science
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Shape Memory Alloy (SMA) dynamical systems may exhibit a rich response that can include periodic, quasi-periodic, chaotic and hyperchaotic behaviors. In this regard, diagnostic tools are important in order to identify the different types of behaviors. This paper aims to analyze systems with SMA elements through a nonlinear dynamics perspective with a specific focus on the use of 0-1 test to quantify the chaoticity of the dynamical response of SMA oscillators. The investigation includes different constitutive models for the restitution force on both single-and two-degree of freedom oscillators. Results of the 0-1 test are compared with Lyapunov exponents calculated with different algorithms. The analyses show that the 0-1 test can be considered a reliable and computationally efficient alternative as a diagnostic tool of chaotic responses. (C) 2017 Elsevier Ltd. All rights reserved.
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