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Stability of high-frequency periodic motions of a heavy rigid body with a horizontally vibrating suspension point

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Abstract

The motion of a heavy rigid body one of whose points (the suspension point) executes horizontal harmonic high-frequency vibrations with small amplitude is considered. The problem of existence of high-frequency periodic motions with period equal to the period of the suspension point vibrations is considered. The stability conditions for the revealed motions are obtained in the linear approximation. The following three special cases of mass distribution in the body are considered; a body whose center of mass lies on the principal axis of inertia, a body whose center of mass lies in the principal plane of inertia, and a dynamically symmetric body.

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Authors and Affiliations

  1. Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993, Russia

    M. V. Belichenko

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  1. M. V. Belichenko
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Correspondence to M. V. Belichenko.

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Original Russian Text © M.V. Belichenko, 2016, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2016, No. 6, pp. 15–28.

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Belichenko, M.V. Stability of high-frequency periodic motions of a heavy rigid body with a horizontally vibrating suspension point. Mech. Solids 51, 632–642 (2016). https://doi.org/10.3103/S0025654416060029

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  • DOI: https://doi.org/10.3103/S0025654416060029

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