Mechanics of Solids (about journal) 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

Russian  English English About Journal | Issues | Editorial Board | Contact Us
 


 Web hosting is provided
by the Ishlinsky Institute for
Problems in Mechanics
of the Russian
Academy of Sciences
IssuesArchive of Issues2011-2pp.325-333

Archive of Issues

Total articles in the database: 4675
In Russian (. . ): 2249
In English (Mech. Solids): 2426

<< Previous article | Volume 46, Issue 2 / 2011 | Next article >>
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 http://www.springerlink.com/content/e3221007px355k00/
<< Previous article | Volume 46, Issue 2 / 2011 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mtt@ipmnet.ru http://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Branch of Power Industry, Machine Building, Mechanics and Control Processes of RAS, Journals on Mechanics Ltd.
© Journals on Mechanics Ltd.
webmaster
Rambler's Top100