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Vibrational Movement of a Solid Body along an Inclined Surface

  • MECHANICS OF MACHINES
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Abstract

We treat the problem of the motion of a heavy flat body along an inclined plane under the action of two harmonic forces in the vertical and horizontal directions. The interaction of the body and the inclined surface is taken into account according to the dry friction model. An analytical solution of the problem for periodic solutions is obtained. Four possible modes of motion have been revealed. The dependences of the characteristic phases and the average speed of movement over the period on the amplitude of harmonic forces are constructed. Conditions are obtained under which a body can move up an inclined plane.

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Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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Authors and Affiliations

  1. National Research University Moscow Power Engineering Institute, Moscow, Russia

    A. I. Munitsyn

  2. Ivanovo State Power Engineering University, Ivanovo, Russia

    L. N. Krainova

Authors
  1. A. I. Munitsyn
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  2. L. N. Krainova
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Correspondence to A. I. Munitsyn.

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Translated by G. Dedkov

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Munitsyn, A.I., Krainova, L.N. Vibrational Movement of a Solid Body along an Inclined Surface. J. Mach. Manuf. Reliab. 52, 658–663 (2023). https://doi.org/10.1134/S1052618823070178

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  • DOI: https://doi.org/10.1134/S1052618823070178

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