 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 81, Issue 6 / 2017 | Next article >> |
| 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 |
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