 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 53, Issue 8 / 2018 | Next article >> |
| G.V. Gorr, "On a Class of Solutions for the Dynamic Equations of a Rigid Body Acted upon by Potential and Gyroscopic Forces," Mech. Solids. 53 (S2), 107-117 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
S2 |
Pages |
107-117 |
| DOI |
10.3103/S0025654418050072 |
| Title |
On a Class of Solutions for the Dynamic Equations of a Rigid Body Acted upon by Potential and Gyroscopic Forces |
| Author(s) |
G.V. Gorr (Institute of Applied Mathematics and MechaniNational Academy of Sciences of Ukraine, Slavyansk, Donetsk oblast, 84116 Ukraine, gvgorr@gmail.com) |
| Abstract |
The reduction of the Grioli equations to the Yehia equations is obtained by means of nonsingular transformation. A class of solutions for equations of the motion of a rigid body acted upon by potential and gyroscopic forces is given as dependent on the random vector function of components from the unit vector of the symmetry axis of force fields. Asymptotic Lyapunov solutions are considered for the cases where the limit solution is described by a linear vector function. |
| Keywords |
potential and gyroscopic forces, Grioli equations, Yehia equations, asymptotic motions |
| Received |
22 March 2018 |
| Link to Fulltext |
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