Using 0–1 test to diagnose chaos on shape memory alloy dynamical systems. (October 2017)

• Record Type: Journal Article
• Authors: Savi, Marcelo A.; Pereira-Pinto, Francisco Heitor I.; Viola, Flavio M.; de Paula, Aline Souza; Bernardini, Davide; Litak, Grzegorz; Rega, Giuseppe
• Is Part Of: Chaos, solitons and fractals. Volume 103(2017)
• Page Start: 307
• Page End: 324
• Publication Date: 2017-10
• Subjects: Shape memory alloys -- 0–1 test -- Lyapunov exponents -- Chaos -- Chaos diagnose -- Nonlinear dynamics; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2017.06.016
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: 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.