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A Tutorial Review on Time-Frequency Analysis of Non-Stationary Vibration Signals with Nonlinear Dynamics Applications

  • General and Applied Physics
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Abstract

Time-frequency analysis (TFA) for mechanical vibrations in non-stationary operations is the main subject of this article, concisely written to be an introducing tutorial comparing different time-frequency techniques for non-stationary signals. The theory was carefully exposed and complemented with sample applications on mechanical vibrations and nonlinear dynamics. A particular phenomenon that is also observed in non-stationary systems is the Sommerfeld effect, which occurs due to the interaction between a non-ideal energy source and a mechanical system. An application through TFA for the characterization of the Sommerfeld effect is presented. The techniques presented in this article are applied in synthetic and experimental signals of mechanical systems, but the techniques presented can also be used in the most diverse applications and also in the numerical solution of differential equations.

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Authors and Affiliations

  1. Faculty of Engineering, Federal University of Grande Dourados, Rodovia Dourados-Itahum, Km 12, S/N, Dourados, MS, Brazil

    Marcus Varanis

  2. Mechanical Engineering Department, Federal University of Paraná, Av. Cel. Francisco H. dos Santos, 230, Jardim das Américas, Curitiba, PR, Brazil

    Anderson L. Silva

  3. Federal University of Technology - Paraná, R. Doutor Washington Subtil Chueire, S/N, Jardim Carvalho, Ponta Grossa, PR, Brazil

    José M. Balthazar

  4. School of Mechanical Engineering, University of Campinas, Rua Mendeleyev, 200, Cidade Universitária “Zeferino Vaz” Barão Geraldo, Campinas, SP, Brazil

    Robson Pederiva

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  1. Marcus Varanis
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  2. Anderson L. Silva
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Varanis, M., Silva, A.L., Balthazar, J.M. et al. A Tutorial Review on Time-Frequency Analysis of Non-Stationary Vibration Signals with Nonlinear Dynamics Applications. Braz J Phys 51, 859–877 (2021). https://doi.org/10.1007/s13538-020-00842-y

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