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Nonlinear Dynamics of Structures, Systems and Devices pp 227–235Cite as

Analysis of a Shape Memory Alloy Spring System Under Harmonic Excitation

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Abstract

A shape memory alloy (SMA) spring system is analysed to determine its response to harmonic forcing. In particular, the superelasticity effect of the system is investigated. The shape memory alloy is modelled using a piecewise linear force–displacement curve. The SMA spring is arranged so as to introduce a geometric nonlinearity. The system of equations are numerically integrated and frequency response curves are determined. Periodic, quasiperiodic and chaotic motions are observed for different combinations of parameter values.

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References

  1. Cuvalci, O., Ertas, A., Ekwaro-Osire, S., Cicek, I.: Non-linear vibration absorber for a system under sinusoidal and random excitation: experiments. J. Sound Vib. 249(4), 701–718 (2002)

    Article  ADS  Google Scholar 

  2. Lacarbonara, W., Bernardini, D., Vestroni, F.: Nonlinear thermomechanical oscillations of shape-memory devices. Int. J. Solids Struct. 41, 1209–1234 (2004)

    Article  Google Scholar 

  3. Oliveira, H., De Paula, A., Savi, M.: Dynamical behavior of a pseudoelastic vibration absorber using shape memory alloys. Shock. Vib. (2017). https://doi.org/10.1155/2017/7609528

    Book  Google Scholar 

  4. Madill, D., Wang. D.: Modeling and L 2-stability of a shape memory alloy position control system. IEEE Trans. Control Syst. Technol. 6(4), 473–481 (1998)

    Google Scholar 

  5. Hu, J., Noh, M.: Seismic response and evaluation of SDOF self-centering friction damping braces subjected to several earthquake ground motions. Adv. Mater. Sci. Eng. (2015). https://doi.org/10.1155/2015/397273

    Book  Google Scholar 

  6. Budd, C.J.: Non-smooth dynamical systems and the grazing bifurcation. In: Nonlinear Mathematics and Its Applications, pp. 219–235. Cambridge University Press, Cambridge (1996)

    Google Scholar 

  7. Gottwald, G., Melbourne, I.: A new test for chaos in deterministic systems. Proc. R. Soc. A 460, 603–611 (2004)

    Article  ADS  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical and Manufacturing Engineering, The University of the West Indies, St. Augustine, Trinidad and Tobago

    Shivan Ramnarace & Jacqueline Bridge

Authors
  1. Shivan Ramnarace
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  2. Jacqueline Bridge
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Corresponding author

Correspondence to Jacqueline Bridge .

Editor information

Editors and Affiliations

  1. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome, Italy

    Walter Lacarbonara

  2. Department of Mechanical Engineering, University of Maryland, College Park, MD, USA

    Balakumar Balachandran

  3. Department of Physics, Lanzhou University of Technology, Lanzhou, Gansu, China

    Jun Ma

  4. Department of Electrical Engineering, Polytechnic of Porto - School of Engineering (ISEP), Porto, Portugal

    J. A. Tenreiro Machado

  5. Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary

    Gabor Stepan

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Ramnarace, S., Bridge, J. (2020). Analysis of a Shape Memory Alloy Spring System Under Harmonic Excitation. In: Lacarbonara, W., Balachandran, B., Ma, J., Tenreiro Machado, J., Stepan, G. (eds) Nonlinear Dynamics of Structures, Systems and Devices. Springer, Cham. https://doi.org/10.1007/978-3-030-34713-0_23

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