 | | 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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| V.Ph. Zhuravlev, "Effect of Inertia of Elastic Waves in Elastic Systems with Axial Symmetry," Mech. Solids. 53 (1), 68-72 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
1 |
Pages |
68-72 |
| DOI |
10.3103/S0025654418010089 |
| Title |
Effect of Inertia of Elastic Waves in Elastic Systems with Axial Symmetry |
| Author(s) |
V.Ph. Zhuravlev (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, zhurav@ipmnet.ru) |
| Abstract |
We show that a standing wave excited in an elastic circular ring behaves like a material body: if the moment of external forces directed along the symmetry axis of the ring is applied to the ring, then not only the ring itself but also the initially standing wave excited in it will come to the accelerated rotation. In this motion, this "standing wave" does not change its shape and performs accelerated precession relative to the ring. In this case, the acceleration of the wave with respect to the ring constitutes a certain fraction of the acceleration of the ring relative to the inertial space. The moment of momentum of precessing and traveling waves is calculated. |
| Keywords |
Bryan effect, precession of standing waves, inertial properties of waves |
| References |
| 1. | G. H. Bryan,
"On the Beats in the Vibrations of Revolving Cylinder or Bell,"
Proc. Cambr. Phil. Soc.
7, 101-111 (1890). |
| 2. | W. B. Scott,
"Delco Makes Low-Cost Gyro Prototipe,"
Aviat. Week
117 (17), 64-72 (1982). |
| 3. | E. J. Loper and D. D. Lynch,
"The HRG: A new low- nose inertial rotation sensor,"
in Proc. 16 Jt. Services Data Exchange For Inertial Systems. 16-18 Nov.
(Los Angeles, 1982),
pp. 432-433. |
| 4. | V. Ph. Zhuravlev and D. M. Klimov,
"Dynamic Effects in an Elastic Rotating Ring,"
Izv. Akad Nauk SSSR. Mekh. Tverd. Tela,
No. 5, 17-23 (1983)
[Mech. Solids (Engl. Transl.)] |
| 5. | V. Ph. Zhuravlev and D. M. Klimov,
Applied methods in Vibration Theory
(Nauka, Moscow, 1988)
[in Russian]. |
| 6. | V. Ph. Zhuravlev and D. M. Klimov,
Wave Solid-State Gyroscope
(Nauka, Moscow, 1985)
[in Russian]. |
|
| Received |
15 December 2016 |
| Link to Fulltext |
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