Vibration Analysis of a Shape Memory Oscillator by Harmonic Balance Method Verified Numerically

DOI10.1142/S0218127419300076zbMath1416.34028OpenAlexW2926681119WikidataQ128203558 ScholiaQ128203558MaRDI QIDQ4631657

Joanna Rekas, Krzysztof Kecik, Rafał Rusinek

Publication date: 18 April 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419300076

zbMATH Keywords

chaosperiodic solutionharmonic balance methodshape memory alloy

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Nonautonomous smooth dynamical systems (37C60)

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Cites Work

• On complex periodic motions and bifurcations in a periodically forced, damped, hardening Duffing oscillator
• An overview of constitutive models for shape memory alloys
• Chaos control of a nonlinear oscillator with shape memory alloy using an optimal linear control. I: Ideal energy source
• Chaos in a shape memory two-bar truss
• Analytical study of the nonlinear behavior of a shape memory oscillator. I: Primary resonance and free response at low temperatures
• Analytical study of the nonlinear behavior of a shape memory oscillator. II: Resonance secondary
• Bifurcation analysis on delay-induced bursting in a shape memory alloy oscillator with time delay feedback
• A constitutive model for shape memory alloys considering tensile-compressive asymmetry and plasticity
• MULTISTABILITY AND RARE ATTRACTORS IN VAN DER POL–DUFFING OSCILLATOR
• A thermomechanical description of materials with internal variables in the process of phase transitions

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