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M.V. Belichenko, "Stability of High-Frequency Periodic Motions of a Heavy Rigid Body with a Horizontally Vibrating Suspension Point," Mech. Solids. 51 (6), 632-642 (2016)
Year 2016 Volume 51 Number 6 Pages 632-642
DOI 10.3103/S0025654416060029
Title Stability of High-Frequency Periodic Motions of a Heavy Rigid Body with a Horizontally Vibrating Suspension Point
Author(s) M.V. Belichenko (Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia, tuzemec1@rambler.ru)
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.
Keywords rigid body, fast vibration, periodic motion, stability
References
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Received 25 June 2015
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