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Vibrations of a Rigid Body with Cylindrical Surface on a Vibrating Foundation

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Abstract

The analytic solution of the problem of forced vibrations of a rigid body with cylindrical surface on a horizontal foundation is given. It is assumed that the dry friction force acts at the point of contact between the cylindrical surface of the body and the foundation and the foundation moves by a harmonic law in the horizontal direction perpendicularly to the cylindrical surface element. The averaging method is used to determine the forced vibration mode near the natural frequency of the body vibrations on the fixed foundation. The results are presented as amplitude-frequency and phase-frequency characteristics.

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References

  1. A. P. Markeev, Dynamics of a Body Contacting with a Rigid Surface (Moscow–Izhevsk, Inst. Komput. Issled., 2014) [in Russian].

    Google Scholar 

  2. I. I. Blekhman and G. Yu. Dzhanilidze, Vibrational Motion (Moscow, Nauka, 1964) [in Russian].

    Google Scholar 

  3. R. F. Nagaev, Periodic Regimes of Vibrational Motion (Moscow, Nauka, 1978) [in Russian].

    Google Scholar 

  4. S. J. Hogan, “The Many Steady State Responses of a Rigid Block under harmonic Forcing,” Earthquake Engng Struct. Dyn. 19, 1057–1071 (1990).

    Article  Google Scholar 

  5. U. Andreaus and P. Casini, “On the Rocking-Uplifting Motion of a Rigid Block in Free and Forced Motion: Influence of Sliding and Bouncing,” Acta Mech. 138, 219–241 (1999).

    Article  MATH  Google Scholar 

  6. A. Sinopoli, “Unilaterality and Dry Friction: A Geometric Foundation for Two-Dimensional Rigid Body Dynamics,” Nonlin. Dyn. 12 (4), 343–366 (1997).

    Article  MathSciNet  MATH  Google Scholar 

  7. V. V. Andronov and V. Ph. Zhuravlev, Dry Friction in Problems ofMechanics (NITs “Regular and Chaotic Dynamics,” Moscow-Izhevsk, 2010) [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. National Research University “Moscow Power Engineering Institute,”, ul. Krasnokazarmennaya 14, Moscow, 111250, Russia

    L. V. Munitsyn

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  1. L. V. Munitsyn
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Correspondence to L. V. Munitsyn.

Additional information

Original Russian Text © A.I. Munitsyn, 2017, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2017, No. 6, pp. 97–108.

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Munitsyn, L.V. Vibrations of a Rigid Body with Cylindrical Surface on a Vibrating Foundation. Mech. Solids 52, 675–685 (2017). https://doi.org/10.3103/S0025654417060073

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  • DOI: https://doi.org/10.3103/S0025654417060073

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