Route to Chaos and Bistability Analysis of Quasi-Periodically Excited Three-Leg Supporter with Shape Memory Alloy
Joint Authors
Karthikeyan, Anitha
Varadharajan, Manisekaran
Duraisamy, Prakash
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-19
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, the effect of quasi-periodic excitation on a three-leg supporter configured with shape memory alloy is investigated.
We derived the equation of motion for the system using the supporter configuration and polynomial constitutive model of the shape memory alloys (SMAs) based on Falk model.
Two sets of parameters and symmetric initial conditions are used to analyze the system.
The system responded with a chaotic attractor and a strange nonchaotic attractor.
Coexistence of these attractors is studied and discussed with corresponding phase portrait, bifurcation plot, and cross section of basin of attraction.
We confirm the quasi-periodic excitation results with generation of strange nonchaotic attractors as discussed in the literature.
The special properties like symmetricity and bistability are revealed and the parameter ranges of existence of such behaviors are discussed.
The system is analyzed for different phases and the existence of bistability in martensite phase and transition phase is explained.
While the system enters into austenite phase, the bistability behavior vanishes.
The results provide insight knowledge into dynamical response of a quasi-periodically excited SMA leg support system and will be useful for design improvements and controller design.
American Psychological Association (APA)
Varadharajan, Manisekaran& Duraisamy, Prakash& Karthikeyan, Anitha. 2020. Route to Chaos and Bistability Analysis of Quasi-Periodically Excited Three-Leg Supporter with Shape Memory Alloy. Complexity،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1143894
Modern Language Association (MLA)
Varadharajan, Manisekaran…[et al.]. Route to Chaos and Bistability Analysis of Quasi-Periodically Excited Three-Leg Supporter with Shape Memory Alloy. Complexity No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1143894
American Medical Association (AMA)
Varadharajan, Manisekaran& Duraisamy, Prakash& Karthikeyan, Anitha. Route to Chaos and Bistability Analysis of Quasi-Periodically Excited Three-Leg Supporter with Shape Memory Alloy. Complexity. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1143894
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143894