Analytical study of the nonlinear behavior of a shape memory oscillator. I: Primary resonance and free response at low temperatures

DOI10.1007/s11071-009-9573-1zbMath1189.70092OpenAlexW2053260121MaRDI QIDQ979354

J. Martínez

Publication date: 28 June 2010

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-009-9573-1

zbMATH Keywords

method of multiple scalesnonlinear dynamicsbifurcationsresonancesshape memory alloyjump phenomenafrequency-response

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Vibrations in dynamical problems in solid mechanics (74H45) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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Uses Software

• MATDS

Cites Work

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• An overview of constitutive models for shape memory alloys
• Chaos in a shape memory two-bar truss
• Determining Lyapunov exponents from a time series
• A thermodynamical constitutive model for shape memory materials. I: The monolithic shape memory alloy
• A constitutive model for shape memory alloys considering tensile-compressive asymmetry and plasticity