 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 47, Issue 5 / 2012 | Next article >> |
| V.A. Babeshko, O.M. Babeshko, and O.V. Evdokimova, "Block Elements in the Theory of Plates of Irregular Shape," Mech. Solids. 47 (5), 566-570 (2012) |
| Year |
2012 |
Volume |
47 |
Number |
5 |
Pages |
566-570 |
| DOI |
10.3103/S002565441205010X |
| Title |
Block Elements in the Theory of Plates of Irregular Shape |
| Author(s) |
V.A. Babeshko (Kuban State University, Stavropol'skaya 149, Krasnodar, 350040 Russia, babeshko@kubsu.ru)
O.M. Babeshko (Kuban State University, Stavropol'skaya 149, Krasnodar, 350040 Russia)
O.V. Evdokimova (South Scientific Centre, Russian Academy of Sciences, Chekhova 41, Rostov-on-Don, 344006 Russia) |
| Abstract |
The problem of studying the stress-strain state is considered for plates of irregular three-dimensional nonclassical shape made of a linear-elastic material, for example, for pyramidal or prismoidal plates. The block element method is used together with the vector eigenfunction method. This approach allows one to reduce the problem to solving a system of second-order integral equations with a second-order completely continuous operator and a separate equation in stresses and displacements. |
| Keywords |
block elements, deformable plates, factorization method, vector eigenfunctions, pseudodifferential equations |
| References |
| 1. | A. F. Ulitko,
Method of Eigenvector Functions in Spatial Problems of Elasticity
(Naukova Dumka, Kiev, 1979)
[in Russian]. |
| 2. | V. T. Grinchenko and A. F. Ulitko,
Equilibrium of Elastic Solids of Canonical Shape
(Naukova Dumka, Kiev, 1985)
[in Russian]. |
| 3. | V. T. Golovchan, V. D. Kubenko, N. A. Shul'ga, et al.,
Dynamics of Elastic Solids
(Naukova Dumka, Kiev, 1986)
[in Russian]. |
| 4. | V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova,
"On the Theory of a Block Element,"
Dokl. Ross. Akad. Nauk
427 (2), 183-186 (2009)
[Dokl. Phys. (Engl. Transl.)
54 (7), 329-332 (2009)]. |
| 5. | V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova,
"On the Sadovskii' Problem of Block Structures,"
Dokl. Ross. Akad. Nauk
427 (4), 480-485 (2009)
[Dokl. Phys. (Engl. Transl.)
54 (8), 373-377 (2009)]. |
| 6. | V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova,
"The Pyramidal Block Element,"
Dokl. Ross. Akad. Nauk
428 (1), 30-34 (2009)
[Dokl. Phys. (Engl. Transl.)
54 (9), 418-422 (2009)]. |
| 7. | V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova,
"The Arbitrary Triangular Pyramidal Block Element,"
Dokl. Ross. Akad. Nauk
429 (6), 758-761 (2009)
[Dokl. Phys. (Engl. Transl.)
54 (12), 557-560 (2009)] |
| 8. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"About Polyhedral and Convex Block Elements,"
Dokl. Ross. Akad. Nauk
432 (5), 620-623 (2010)
[Dokl. Phys. (Engl. Transl.)
55 (6), 292-296 (2010)] |
| 9. | O. V. Evdokimova, O. M. Babeshko, and V. A. Babeshko,
"On the Differential Factorization Method in Inhomogeneous Problems,"
Dokl. Ross. Akad. Nauk
418 (3), 321-323 (2008)
[Dokl. Math. (Engl. Transl.)
76 (1), 140-142 (2008)]. |
| 10. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Automorphism and Pseudo-Differential Equations in the Block-Element Method,"
Dokl. Ross. Akad. Nauk
438 (5), 623-625 (2011)
[Dokl. Phys. (Engl. Transl.)
56 (6), 348-351 (2011)]. |
|
| Received |
28 May 2012 |
| Link to Fulltext |
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