Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators-Reference-Cited by-同舟云学术

Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators

Published:2018 Issue: Volume:2018 Page:1-9
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Rajagopal Karthikeyan¹²^ORCID,Karthikeyan Anitha¹²,Duraisamy Prakash²,Weldegiorgis Riessom²

Affiliation:

1. Center for Nonlinear Dynamics, Department of Electrical and Communication Engineering, The PNG University of Technology, Lae, Papua New Guinea

2. Center for Nonlinear Dynamics, Defence University, Bishoftu, Ethiopia

Abstract

A two-degree-of-freedom shape memory oscillator derived using polynomial constitutive model is investigated. Periodic, quasiperiodic, chaotic, and hyperchaotic oscillations are shown by the shape memory alloy based oscillator for selected values of the operating temperatures and excitation parameters. Bifurcation plots are derived to investigate the system behavior with change in parameters. A fractional order model of the shape memory oscillator is presented and dynamical behavior of the system with fractional orders and parameters are investigated.

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2018/8365845.pdf

Reference33 articles.

1. Dynamics of shape memory alloys patches with mechanically induced transformations

2. Experimental Nonlinear Dynamics of a Shape Memory Alloy Wire Bundle Actuator

3. Nonlinear dynamics of shape memory alloy oscillators in tuning structural vibration frequencies

4. Nonlinear dynamics and chaos in shape memory alloy systems

5. Thermomechanical modelling, nonlinear dynamics and chaos in shape memory oscillators

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