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Russian Academy of Sciences
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IssuesArchive of Issues2017-6pp.455-462

Archive of Issues

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K.Yu. Osipenko, "The stability of the motion of a non-axisymmetric body in a resistive medium," J. Appl. Math. Mech. 81 (6), 455-462 (2017)
Year 2017 Volume 81 Issue 6 Pages 455-462
DOI 10.1016/j.jappmathmech.2018.03.014
Title The stability of the motion of a non-axisymmetric body in a resistive medium
Author(s) K.Yu. Osipenko (Institute for Problems in Mechanics of the Russian Academy of Sciences; Moscow State University of Civil Engineering, Moscow, Russia, kirill-o@mail.ru)
Abstract A mathematical model of the plane motion of a non-axisymmetric body in a resistive medium is constructed using the local interaction method. Criteria for the stability of rectilinear motion are obtained in a general form in the case of a frozen axial velocity. The stability of the motion of a regular triangular pyramid is investigated in detail when a constant friction and pressure, specified using an empirical Poncelet formula in the form of a sum of inertial and strength terms, acts on its lateral surface. The stabilities of a pyramid and a cone are compared. The effect of deceleration on the stability of the rectilinear motion is considered.
Keywords resistive; rectilinear; torque
Received 24 March 2016
Link to Fulltext https://www.sciencedirect.com/science/article/pii/S0021892818300248
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