 | | 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
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.P. Markeyev, "The equations of the approximate theory of the motion of a rigid body with a vibrating suspension point," J. Appl. Math. Mech. 75 (2), 132-139 (2011) |
| Year |
2011 |
Volume |
75 |
Issue |
2 |
Pages |
132-139 |
| Title |
The equations of the approximate theory of the motion of a rigid body with a vibrating suspension point |
| Author(s) |
A.P. Markeyev (Moscow, Russia, markeev@ipmnet.ru) |
| Abstract |
The motion of a rigid body in a uniform gravity field is investigated. One of the points of the body (the suspension point) performs specified small-amplitude high-frequency periodic or conditionally periodic oscillations (vibrations). The geometry of the body mass is arbitrary. An approximate system of differential equations is obtained, which does not contain the time explicitly and describes the rotational motion of the rigid body with respect to a system of coordinates moving translationally together with the suspension point. The error with which the solutions of the approximate system approximate to the solution of the exact system of equations of motion is indicated. The problem of the stability with respect to the equilibrium of the rigid body, when the suspension point performs vibrations along the vertical, is considered as an application. |
| Received |
15 June 2010 |
| Link to Fulltext |
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