 | | 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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| N. I. Amel'kin, "To the solid angle theorem," Mech. Solids. 38 (2), 8-12 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
2 |
Pages |
8-12 |
| Title |
To the solid angle theorem |
| Author(s) |
N. I. Amel'kin (Moscow) |
| Abstract |
A quaternion solution is given for the problem of determining
the displacement of a rigid body with a fixed point in terms
of the initial and terminal positions of an axis of this body.
One of the corollaries of this solution yields the solid
angle theorem and its new generalizations. |
| References |
| 1. | V. Ph. Zhuravlev, Fundamentals of Theoretical Mechanics [in
Russian], Nauka, Fizmatlit, Moscow, 1997. |
| 2. | Yu. K. Zhbanov and V. Ph. Zhuravlev, "On some properties of
finite rotations of a rigid body subject to a nonholonomic constraint,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 1, pp. 9-14, 1978. |
| 3. | V. Ph. Zhuravlev, "The solid angle theorem in dynamics
of a rigid body," PMM [Applied Mathematics and Mechanics],
Vol. 60, No. 2, pp. 323-326, 1996. |
| 4. | N. I. Amel'kin, Kinematics and Dynamics of a Rigid
Body [in Russian], MFTI, Moscow, 2000. |
| 5. | A. Yu. Ishlinskii, Mechanics of Special Types
of Gyroscopic Systems [in Russian], Izd-vo AN UkrSSR, Kiev, 1952. |
|
| Received |
14 December 2000 |
| << Previous article | Volume 38, Issue 2 / 2003 | Next article >> |
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