| | 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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<< Previous article | Volume 39, Issue 2 / 2004 | Next article >> |
V. M. Belubekyan, "Buckling analysis of a shell with transverse shear," Mech. Solids. 39 (2), 99-103 (2004) |
Year |
2004 |
Volume |
39 |
Number |
2 |
Pages |
99-103 |
Title |
Buckling analysis of a shell with transverse shear |
Author(s) |
V. M. Belubekyan (Erevan) |
Abstract |
In most cases, taking into account transverse shear strains in the problems of buckling of isotropic plates leads to results which differ from those of the Kirchhoff theory of plates by a value whose order of magnitude is equal to that of the squared relative thickness of the plate [1]. This correction value can, however, be more significant for certain boundary conditions at the edges of a plate. The equations of buckling of a plate are presented on the basis of a version of the refined first-order theory suggested in [2]. The contribution of three natural boundary conditions is discussed on the basis of an example of localized buckling near the free edge of a plate. |
References |
1. | S. A. Ambartsumyan, Theory of Anisotropic Plates [in Russian], Nauka, Moscow, 1987. |
2. | V. V. Vasil'ev, "Classical theory of plates: historical perspective and state-of-the-art," Izv. AN. MTT [Mechanics of Solids], No. 3, pp. 46-58, 1998. |
3. | V. V. Novozhilov, Theory of Elasticity [in Russian], Sudpromgiz, Leningrad, 1958. |
4. | V. V. Bolotin, Nonconservative Problems of Elasticity [in Russian], Fizmatgiz, Moscow, 1961. |
5. | A. L. Goldenveizer, "The construction of an approximate theory of bending of a plate by the method of asymptotic integration of the equations of elasticity," PMM [Applied Mathematics and Mechanics], Vol. 26, No. 4,
pp. 668-686, 1962. |
6. | V. M. Belubekyan and M. V. Belubekyan, "On the boundary conditions of the theory of plates," Izv. NAN RA. Mekhanika, Vol. 52, No. 2, pp. 11-21,
1999. |
7. | E. A. Ivanova, "Asymptotic and numerical analysis of high-frequency free vibrations of rectangular plates," Izv. AN. MTT [Mechanics of Solids], No. 2, pp. 163-174, 1998. |
8. | M. V. Belubekyan, "Problems of localized buckling of a plate," in Problems of Optimal Control, Stability and Strength of Mechanical Systems [in Russian], pp. 95-99, EGU, Erevan, 1997. |
|
Received |
28 February 2002 |
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