 | | 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. I. Gulyayev and I. L. Solovjov, "Critical states of thin-walled hyperbolic gyros elastically connected to a rotating platform," Mech. Solids. 42 (4), 530-539 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
4 |
Pages |
530-539 |
| Title |
Critical states of thin-walled hyperbolic gyros elastically connected to a rotating platform |
| Author(s) |
V. I. Gulyayev (National Transport University, Suvorova 1, Kiev, 01010, Ukraine, valery@gulyayev.com.ua)
I. L. Solovjov (National Transport University, Suvorova 1, Kiev, 01010, Ukraine, solovjov@gala.net) |
| Abstract |
We analyze effects related to the origination of critical states of thin-walled rigid and elastic axisymmetric hyperbolic gyros (shells) elastically connected by the smaller base to a rotating carrier body. We consider the cases of simple and compound rotations of the body and show that, in the case of simple rotation, the specific features of origination of critical states of solid and elastic shells are determined by the ratio of their axial moments of inertia. In the case of compound rotation, the first frequency of precession resonance vibrations of elastic shells generated by the gyroscopic forces of inertia is independent of the elastic compliance of the body-shell joint. |
| References |
| 1. | V. I. Gulyayev,
"Dynamics of Elastic Systems in Compound Motion,"
Prikl. Mekh.
39 (5), 28-51 (2003). |
| 2. | A. Tondl,
Dynamics of Turbogenerator Rotors
(Energiya, Leningrad, 1971)
[in Russian]. |
| 3. | H. Ziegler,
Principles of Structural Stability
(Blaisdell Publishing Company, Waltham, MA, 1968; Mir, Moscow, 1971). |
| 4. | V. I. Gulyayev, A. A. Grom, and N. A. Snezhko,
"Precession Vibration of Conic Shells in Complex Rotation,"
Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 156-163 (1999)
[Mech. Solids (Engl. Transl.)]. |
| 5. | M. A. Belova, V. I. Gulyayev, and I. L. Solovjov,
"Static and Dynamical Critical States of Parabolic Shells
in Simple and Compound Rotations,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 3, 152-163 (2004)
[Mech. Solids (Engl. Transl.)]. |
| 6. | V. I. Gulyayev, I. L. Solovjov, and P. Z. Lugovyy,
"Analysis of Precession Vibrations of Thin-Wall Elastic Shells in
Compound Rotation,"
J. Sound and Vibrat.
246 (3), 491-504 (2001). |
| 7. | V. I. Gulyayev, I. L. Solovjov, and M. A. Belova,
"Interconnection of Critical States of Parabolic Shells in Simple and
Compound Rotations with Values of Their Natural Precession Vibrations
Frequencies,"
Inter. J. Solids and Structures
41 (13), 3565-3583 (2004). |
| 8. | V. I. Gulyayev, I. L. Solovjov, and M. A. Belova,
"Critical States of Thin Ellipsoidal Shells in Simple and Compound
Rotations,"
J. Sound and Vibrat.
270 (1/2), 323-339 (2004). |
| 9. | A. I. Lurie,
Analytical Mechanics
(Fizmatgiz, Moscow, 1961; Springer, Berlin, 2001). |
| 10. | K. R. Sivadas,
"Vibrations Analysis of Prestressed Rotating Thick Circular
Conical Shell,"
J. Sound and Vibrat.
186 (1), 99-109 (1995). |
|
| Received |
08 February 2005 |
| Link to Fulltext |
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