 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| D.V. Boiko, L.P. Zheleznov, and V.V. Kabanov, "Study of Nonlinear Deformation and Stability of Reinforced Shells under Combined Loading by a Bending Moment and a Transverse Boundary Force," Mech. Solids. 46 (5), 766-771 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
5 |
Pages |
766-771 |
| DOI |
10.3103/S0025654411050104 |
| Title |
Study of Nonlinear Deformation and Stability of Reinforced Shells under Combined Loading by a Bending Moment and a Transverse Boundary Force |
| Author(s) |
D.V. Boiko (Chaplygin Siberian Research Aviation Institute, Polzunova 21, Novosibirsk, 630021 Russia)
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 |
We present a finite-element statement for the solution
of stability problems for reinforced elliptic cylindrical shells
with moment properties and nonlinearity in their precritical stress-strain state
taken into account.
Integrating the equations obtained by equating the linear strain components with zero, we find explicit expressions for the displacements of elements of noncircular cylindrical shells as rigid bodies. Using these expressions, we construct the shape functions of a four-angle finite element of natural curvature and develop an effective algorithm for studying nonlinear deformation and stability of shells. We study the stability of reinforced elliptic cylindrical shells under combined loading by a transverse boundary force and a bending moment and investigate how the ellipticity of the shells and the nonlinearity of deformation at the precritical stage affect the shell stability. |
| Keywords |
noncircular cylindrical reinforced shells, nonlinear deformation, stability, finite element method, transverse force, bending by moment of force |
| 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 an 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. | V. V. Kabanov and S. V. Astrakharchik,
"Nonlinear Deformation and Stability of Reinforced Cylindrical Shells in Bending,"
in Spatial Structures in Krasnoyarsk Region
(KISI, Krasnoyarsk, 1985),
pp. 75-83
[in Russian]. |
| 6. | L. V. Kantorovich and T. R. Akilov,
Functional Analysis in Normed Spaces
(Fizmatgiz, Moscow, 1959; Pergamon Press, Oxford, 1964). |
| 7. | J. H. Wilkinson and C. Reinsch,
Handbook for Automatic Computations,
Vol. 2: Linear Algebra
(Springer, New York, 1971; Mashinostroenie, Moscow, 1976). |
| 8. | B. P. Demidov and I. A. Maron,
Foundations of Computational Mathematics
(Nauka, Moscow, 1966)
[in Russian]. |
|
| Received |
04 March 2009 |
| Link to Fulltext |
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