 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| E.A. Kogan and E.A. Lopanitsyn, "Vibrations of Structurally Orthotropic Laminated Shells under Thermal Power Loading," Mech. Solids. 52 (3), 329-341 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
3 |
Pages |
329-341 |
| DOI |
10.3103/S0025654417030104 |
| Title |
Vibrations of Structurally Orthotropic Laminated Shells under Thermal Power Loading |
| Author(s) |
E.A. Kogan (Moscow Polytechnic University, ul. Bolshaya Semenovskaya 38, Moscow, 107023 Russia, kogan_ea@mail.ru)
E.A. Lopanitsyn (Moscow Polytechnic University, ul. Bolshaya Semenovskaya 38, Moscow, 107023 Russia) |
| Abstract |
On the basis of the linearized version of equations obtained in a geometrically nonlinear statement and describing the nonaxisymmetric strain of nonshallow sandwich structure orthotropic shells under thermal power loading, the Rayleigh-Ritz method with polynomial approximation of displacements and shear strains is used to solve the problem of small free vibrations of axisymmetrically thermally preloaded freely supported three-layer conical shell. The causes of dynamical fracture of the shell under study are revealed. |
| Keywords |
three-layer structure, orthotropic conical nonshallow shell, transverse shear, thermal power loading, free vibrations, Rayleigh-Ritz method |
| References |
| 1. | E. I. Grigolyuk and P. P. Chulkov,
Stability and Vibrations of Three-Layer Shells
(Mashinostroenie, Moscow, 1973)
[in Russian]. |
| 2. | E. I. Grigolyuk and G. M. Kulikov,
Laminated Reinforced Shells: Analysis of Pneumatic Tyre
(Mashinostroenie, Moscow, 1988)
[in Russian]. |
| 3. | E. I. Grigolyuk and E. A. Kogan,
Statics of Elastic Sandwich Shells
(NIIMekh. MGU, Moscow, 1999)
[in Russian]. |
| 4. | A. N. Andreev and Yu. I. Nemirovskii,
Multilayer Anisotropic Shells and Plates. Bending. Stability. Visrations
(Nauka, Moscow, 2001)
[in Russian]. |
| 5. | N. A. Abrosimov and V. G. Bazhenov,
Nonlinear Problems of Composite Structure Dynamics
(Izdat. NNGU, Nizhnii Novgorod, 2002)
[in Russian]. |
| 6. | D. V. Artamonov, A. N. Litvinov, and M. A. Litvinov, "Dynamics of
Conical Shells with Multilayer Coating," Izv. Vyssh. Uchebn.
Zaved. Povolzhsk Region. Tekhn. Nauki, No. 4(24), 135-144 (2012). |
| 7. | E. I. Grigolyuk,
"Equations of Three-Layer Shells with Light Filler,"
Izv. Akad. Nauk SSSR. OTN,
No. 1, 77-84 (1957). |
| 8. | E. I. Grigolyuk,
"Finite Deflections of Three-Layer Shells with Rigid Filler,"
Izv. Akad. Nauk SSSR. OTN,
No. 1, 26-34 (1958). |
| 9. | E. A. Kogan and E. A. Lopanitsyn, "Stress Strain State od
Nonshallow Sandwich Structure Orthotropic Shells under Thermal Power Loading," in Selected Problems of Applied Mechanics and Mathematics, Collection of papers dedicated to Correspondent Member of RAS E. I. Grigolyuk on the occasion of his 80th birthday
(MGTU "MAMI", Moscow, 2003), pp. 151-171 [in Russian]. |
|
| Received |
08 April 2015 |
| Link to Fulltext |
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