 | | 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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| << Previous article | Volume 79, Issue 4 / 2015 | Next article >> |
| V.Yu. Ol'shanskii, "Linear invariant relations of Kirchhoff's equations," J. Appl. Math. Mech. 79 (4), 334-349 (2015) |
| Year |
2015 |
Volume |
79 |
Issue |
4 |
Pages |
334-349 |
| DOI |
10.1016/j.jappmathmech.2016.01.004 |
| Title |
Linear invariant relations of Kirchhoff's equations |
| Author(s) |
V.Yu. Ol'shanskii (Institute for Precision Mechanics and Control Problems Russ. Acad. of Sci., Saratov, Russia, olshanskiy_vlad@mail.ru) |
| Abstract |
A description of all of the cases of the existence of a linear invariant relation of Kirchhoff's equations is obtained. Existence conditions in a parametric vector form and in an explicit coordinate form are presented. New linear invariant relations and partial solutions are found. The inclusion of well-known linear invariant relations in the general case obtained is indicated. A geometrical interpretation of the conditions for the Chaplygin linear invariant relation to exist is given. |
| Received |
19 January 2014 |
| Link to Fulltext |
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| << Previous article | Volume 79, Issue 4 / 2015 | Next article >> |
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