 | | 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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| S.A. Lychev, T.N. Lycheva, and A.V. Manzhirov, "Unsteady Vibration of a Growing Circular Plate," Mech. Solids. 46 (2), 325-333 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
2 |
Pages |
325-333 |
| DOI |
10.3103/S002565441102021X |
| Title |
Unsteady Vibration of a Growing Circular Plate |
| Author(s) |
S.A. Lychev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, lychevsa@mail.ru)
T.N. Lycheva (Moscow State University of Instrument Engineering and Computer Science, Stromynka 20, Moscow, 107996 Russia)
A.V. Manzhirov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, manzh@ipmnet.ru) |
| Abstract |
Forced vibration of a thickening circular plate is studied within the framework of the small deformation theory. The plate material is assumed to be elastic and isotropic and the plate thickness to be continually increasing due to influx of material from outside. It is also assumed that the plate thickness varies with time but is independent of the space coordinates. Moreover, in the process of growth, the midsurface position does not change, which suggests that the plate grows symmetrically on both its surfaces. |
| Keywords |
growing plate, small deformations, forced vibration, analytical solutions, spectral expansions |
| References |
| 1. | I. A. Birger and Ya. G. Panovko (Eds.),
Strength. Stability. Vibration, Vol. 3.
(Mashinostroenie, Moscow, 1968)
[in Russian]. |
| 2. | N. Kh. Arutyunyan and A. V. Manzhirov,
Contact Problems of Creep Theory
(Inst. Mekh. NAN, Erevan, 1999). |
| 3. | N. Kh. Arutyunyan, A. V. Manzhirov, and V. E. Naumov,
Contact Problems of Mechanics of Growing Bodies
(Nauka, Moscow, 1991)
[in Russian]. |
| 4. | A. A. Kosmodem'yanskii,
A Course of Theoretical Mechanics, Part II
(Prosveshchenie, Moscow, 1966)
[in Russian]. |
| 5. | L. Collatz,
Eigenvalue Problems with Technical Applications
(Chelsea, New York, 1948; Nauka, Moscow, 1968). |
| 6. | V. F. Zaitsev and A. D. Polyanin,
Handbook of Ordinary Differential Equations
(Fiz.-Mat. Lit., Moscow, 2001)
[in Russian]. |
| 7. | Material Property Data,
MatWeb, URL: http://www.matweb.com. |
|
| Received |
16 December 2010 |
| Link to Fulltext |
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