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Stochastic Resonances and Antiresonances in Rotating Mechanisms

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Advances in Nonlinear Dynamics

Part of the book series: NODYCON Conference Proceedings Series ((NCPS))

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Abstract

Within the framework of vibrational mechanics, a general equation for the slow motion of a rotating mechanism in the presence of high-frequency stochastic excitation is obtained. This equation is similar to the initial equation in the absence of excitation with a modified inertial coefficient and dissipative function, which depend on the intensity of the random process. As an application, a centrifugal pendulum absorber with a high-frequency stochastic component in the rotation speed is considered. It is shown that its behaviour differs significantly from that of a standard pendulum without stochastic excitation.

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Author information

Authors and Affiliations

  1. Institute for Problems in Mechanical Engineering of Russian Academy of Sciences, St. Petersburg, Russia

    Eugen Kremer

Authors
  1. Eugen Kremer
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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 Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA

    Michael J. Leamy

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

    Jun Ma

  5. ISEP-Institute of Engineering, Polytechnic of Porto, Porto, Portugal

    J. A. Tenreiro Machado

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

    Gabor Stepan

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Kremer, E. (2022). Stochastic Resonances and Antiresonances in Rotating Mechanisms. In: Lacarbonara, W., Balachandran, B., Leamy, M.J., Ma, J., Tenreiro Machado, J.A., Stepan, G. (eds) Advances in Nonlinear Dynamics. NODYCON Conference Proceedings Series. Springer, Cham. https://doi.org/10.1007/978-3-030-81162-4_66

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  • DOI: https://doi.org/10.1007/978-3-030-81162-4_66

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-81161-7

  • Online ISBN: 978-3-030-81162-4

  • eBook Packages: EngineeringEngineering (R0)

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