Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7175547 | Journal of Applied Mathematics and Mechanics | 2017 | 8 Pages |
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.
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Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
K. Yu. Osipenko,