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Investigation of Random Vibrations of a Rigid Body on Vibration Dampers with Straightened Surfaces

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Advances in Asian Mechanism and Machine Science (ASIAN MMS 2021)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 113))

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Abstract

Creation of vibration protection devices using rolling bearings is now widely used in transport equipment and seismic protection of structures.

Design of economical and reliable engineering construction of buildings and structures requires abandoning current deterministic approach to the calculation of structures and creating new methods based on statistical approach.

This work investigates random vibrations of a vibration-proof body on vibration dampers with straightened surfaces. Random vibrations of a rigid body on rolling bearings bounded by high-order surfaces of revolution with allowance made to rolling friction on relaxing soils were investigated using the apparatus for cumulant analysis of random non-Gaussian processes. The law of establishing the mean and second-order cumulants is determined for arbitrary initial conditions. The stability of stochastic vibration isolation systems with rolling bearings in terms of second-order moments - the so-called root-mean-square stability - has been investigated.

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References

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Funding

This research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grants No. AP08856744).

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Authors and Affiliations

  1. Institute of Mechanics and Machine Science named after the Academician U.A. Dzholdasbekov, Abai Kazakh National Pedagogical University, Almaty, Kazakhstan

    K. Bissembayev

  2. Institute of Mechanics and Machine Science named after the Academician U.A. Dzholdasbekov, Almaty, Kazakhstan

    Zh. Iskakov

  3. Abai Kazakh National Pedagogical University, Almaty, Kazakhstan

    A. Sagadinova

Authors
  1. K. Bissembayev
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  2. Zh. Iskakov
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  3. A. Sagadinova
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Editor information

Editors and Affiliations

  1. Department of Applied Mechanics, Hanoi University of Science and Technology, Hanoi, Vietnam

    Nguyen Van Khang

  2. Department of Applied Mechanics, Hanoi University of Science and Technology, Hanoi, Vietnam

    Nguyen Quang Hoang

  3. Department of Industrial Engineering, University of Rome Tor Vergata, Rome, Italy

    Marco Ceccarelli

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Bissembayev, K., Iskakov, Z., Sagadinova, A. (2022). Investigation of Random Vibrations of a Rigid Body on Vibration Dampers with Straightened Surfaces. In: Khang, N.V., Hoang, N.Q., Ceccarelli, M. (eds) Advances in Asian Mechanism and Machine Science. ASIAN MMS 2021. Mechanisms and Machine Science, vol 113. Springer, Cham. https://doi.org/10.1007/978-3-030-91892-7_77

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  • DOI: https://doi.org/10.1007/978-3-030-91892-7_77

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-91891-0

  • Online ISBN: 978-3-030-91892-7

  • eBook Packages: EngineeringEngineering (R0)

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