 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Čçâ. ĐŔÍ. ĚŇŇ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 59, Issue 3 / 2024 | Next article >> |
| A.A. Burov and V.I. Nikonov, "Motion of a Variable Body in a Time-Dependent Force Field," Mech. Solids. 59 (3), 1283-1289 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
3 |
Pages |
1283-1289 |
| DOI |
10.1134/S0025654424602878 |
| Title |
Motion of a Variable Body in a Time-Dependent Force Field |
| Author(s) |
A.A. Burov (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia, jtm@narod.ru)
V.I. Nikonov (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia, nikon_v@list.ru) |
| Abstract |
The problem of translational-rotational motion of a variable body is considered under the
assumption that the inertial properties of the body, as well as the external forces and torques acting on
it, explicitly depend on explicitly. The conditions are indicated under which the equations of motion
are reduced to classical equations that describe the motion of a rigid body in a force field that does not
depend on time. There are cases when the equations of motion are reduced to completely integrable ones. Elements of the discussion of the 1920–1930s about the description of the motion of a material point of variable mass in a time-dependent gravitational field are reproduced. |
| Keywords |
translational-rotational motion of a variable body, time-dependent inertial properties, time-dependent forces, change of time, change of variables |
| Received |
20 October 2023 | Revised |
19 December 2023 | Accepted |
28 December 2023 |
| Link to Fulltext |
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