 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| V.N. Paimushin, "Contact formulation of non-linear problems in the mechanics of shells with their end sections connected by a plane curvilinear rod," J. Appl. Math. Mech. 78 (1), 84-98 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
1 |
Pages |
84-98 |
| Title |
Contact formulation of non-linear problems in the mechanics of shells with their end sections connected by a plane curvilinear rod |
| Author(s) |
V.N. Paimushin (Kazan, Russia, dsm@dsm.kstu-kai.ru, vpajmushin@mail.ru) |
| Abstract |
Starting from the consistent version of the geometrically non-linear equations of the theory of elasticity for small deformations and arbitrary displacements, a Timoshenko-type model that takes account of shear and compression deformations and also an extended variational Lagrange principle, an improved geometrically non-linear theory of static deformation is constructed for reinforced thin-walled structures with shell elements, the end sections of which are connected by a rod. It is based on the introduction into the treatment of contact forces and torques as unknowns on the lines joining the shells to the rods and it enables all classical and non-classical forms of loss of stability in structures of the class considered to be investigated. An analytical solution of the problem of the stability of a rectangular plate, that is under compression in one direction, supported by a hinge along two opposite edges and joined by a hinge with an elastic rod on one of the other two edges, is found using a simplified version of the linearized equations. |
| Received |
27 July 2012 |
| Link to Fulltext |
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