 | | 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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| D.V. Boiko, L.P. Zheleznov, and V.V. Kabanov, "Studies of Nonlinear Deformation and Stability of Stiffened Oval Cylindrical Shells under Combined Loading by Bending Moment and Boundary Transverse Force," Mech. Solids. 47 (3), 298-303 (2012) |
| Year |
2012 |
Volume |
47 |
Number |
3 |
Pages |
298-303 |
| DOI |
10.3103/S0025654412030041 |
| Title |
Studies of Nonlinear Deformation and Stability of Stiffened Oval Cylindrical Shells under Combined Loading by Bending Moment and Boundary Transverse Force |
| Author(s) |
D.V. Boiko (Chaplygin Siberian Research Aviation Institute, Polzunova 21, Novosibirsk, 630021 Russia, dvboiko@ngs.ru)
L.P. Zheleznov (Chaplygin Siberian Research Aviation Institute, Polzunova 21, Novosibirsk, 630021 Russia, lev@wsr.ru)
V.V. Kabanov (Chaplygin Siberian Research Aviation Institute, Polzunova 21, Novosibirsk, 630021 Russia, ni010@yandex.ru) |
| Abstract |
The finite-element statement of stability problems for stiffened oval cylindrical shells is presented with the moments and the nonlinearity of their subcritical stress-strain state taken into account. Explicit expressions for the displacements of elements of noncircular cylindrical shells as solids are obtained by integration of the equations derived by equating the linear deformation components with zero. These expressions are used to construct the shape functions of the effective quadrangular finite element of natural curvature, and an efficient algorithm for studying the shell nonlinear deformation and stability is developed. The stability of stiffened oval cylindrical shells is studied in the case of combined loading by a boundary transverse force and a bending moment. The influence of the shell ovality and the deformation nonlinearity on the shell stability is investigated. |
| Keywords |
oval shell, stability, combined loading |
| References |
| 1. | E. I. Grigolyuk and V. V. Kabanov,
Stability of Shells
(Nauka, Moscow, 1978)
[in Russian]. |
| 2. | L. P. Zheleznov and V. V. Kabanov,
"Finite Element and Algorithm for Studying Nonlinear Deformation
and Stability of Noncircular Cylindrical Shells,"
in Applied Problems of Mechanics of Thin-Walled Structures
(Izd-vo MGU, Moscow, 2000),
pp. 120-127
[in Russian]. |
| 3. | V. V. Kabanov,
Stability of Inhomogeneous Cylindrical Shells
(Mashinostroenie, Moscow, 1982)
[in Russian]. |
| 4. | S. V. Astrakharchik, L. P. Zheleznov and V. V. Kabanov,
"Study of Nonlinear Deformation and Stability of Shells and Panels of Nonzero Gaussian Curvature,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 102-108 (1994)
[Mech. Solids (Engl. Transl.)]. |
| 5. | S. V. Astrakharchik and V. V. Kabanov,
"Nonlinear Deformation and Stability of Stiffened Cylindrical Shells
under Bending,"
in Spatial Structures in Krasnoyarsk Region
(Izd-vo KISI, Krasnoyarsk, 1985),
pp. 75-83
[in Russian]. |
| 6. | L. V. Kantorovich and G. P. Akilov,
Functional Analysis in Normed Spaces
(Fizmatgiz, Moscow, 1959; Pergamon Press, Oxford, 1964). |
| 7. | J. H. Wilkinson and C. Reinsch,
Handbook of ALGOL Algorithms. Linear Algebra
(Mashinostroenie, Moscow, 1976)
[in Russian]. |
| 8. | B. P. Demidovich and I. A. Maron,
Foundations of Computational Mathematics
(Nauka, Moscow, 1966)
[in Russian]. |
|
| Received |
17 November 2009 |
| Link to Fulltext |
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