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Influence of Smart Material on the Dynamical Response of Mechanical Oscillator

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Applied Non-Linear Dynamical Systems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 93))

Abstract

The dynamical response of systems with shape memory alloy (SMA) or magnetorheological damper (MRD) presents a different behavior due to their nonlinear characteristics. Both systems have a nonlinear behavior due to adaptive dissipation related to their hysteretic behavior. This property is very attractive in engineering field. This paper investigates the nonlinear dynamical behavior of an SMA or MRD oscillator system. The LuGre mathematical model is used to represent the MRD behavior. On the other hand, the SMA model is based on a thermomechanical consistent model with four state variables.

Numerical simulations show different aspects about these two systems.

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Author information

Authors and Affiliations

  1. Department of Mathematics, UTFPR - Federal Technological University of Paraná, Curitiba, Brazil

    Vinícius Piccirillo & Ângelo Marcelo Tusset

  2. Department of Statistics, Applied Mathematical and Computation, UNESP – São Paulo State University, Rio Claro, Brazil

    José Manoel Balthazar

  3. Dipartimento di Ingegneria Strutturale e Geotecnica, Sapienza Università di Roma, Rome, Italy

    Davide Bernardini & Guiseppe Rega

Authors
  1. Vinícius Piccirillo
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  2. Ângelo Marcelo Tusset
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  3. José Manoel Balthazar
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  4. Davide Bernardini
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  5. Guiseppe Rega
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Corresponding author

Correspondence to Vinícius Piccirillo .

Editor information

Editors and Affiliations

  1. Department of Automation, Biomechanics and Mechatronics, Łódź University of Technology, Łódź, Poland

    Jan Awrejcewicz

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Piccirillo, V., Tusset, Â.M., Balthazar, J.M., Bernardini, D., Rega, G. (2014). Influence of Smart Material on the Dynamical Response of Mechanical Oscillator. In: Awrejcewicz, J. (eds) Applied Non-Linear Dynamical Systems. Springer Proceedings in Mathematics & Statistics, vol 93. Springer, Cham. https://doi.org/10.1007/978-3-319-08266-0_37

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