 | | 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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| Yu. I. Vinogradov, Yu. A. Gusev, V. I. Nikitenko, and V. I. Petrov, "Local strength of thin-walled structures," Mech. Solids. 42 (5), 796-806 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
5 |
Pages |
796-806 |
| Title |
Local strength of thin-walled structures |
| Author(s) |
Yu. I. Vinogradov (Bauman Moscow State Technical University, 2-ya Baumanskaya 5, Moscow, 105005, Russia, ean@sm.bmstu.ru)
Yu. A. Gusev (Bauman Moscow State Technical University, 2-ya Baumanskaya 5, Moscow, 105005, Russia)
V. I. Nikitenko (Joint Stock Company “Military-Industrial Corporation “NPO Mashinostroyenia”, Gagarina 33, Reutov, Moscow oblast, 143966, Russia)
V. I. Petrov (Bauman Moscow State Technical University, 2-ya Baumanskaya 5, Moscow, 105005, Russia) |
| Abstract |
We suggest efficient methods for studying stress concentrations in thin-walled structural members. The advantages of these methods are determined by their essential distinguishing characteristics as compared with well-known methods. After the separation of variables, the solution of linear ordinary differential equations of shell strain mechanics is analytically determined in the form of a matrix Taylor series. The property of the solution to satisfy arbitrary initial conditions allows one simply to reduce the boundary conditions to the initial conditions prior to calculating. Another method for structures with arbitrary parameters of the shells permits one to transfer the boundary conditions by a multiplicative method to the stress concentration site and to use them as the initial conditions in studying the stress concentration. We present the results of investigations of the stress concentration in transport-launch containers of aircraft by various methods. |
| References |
| 1. | Ya. M. Grigorenko and A. T. Vasilenko,
Problems of Statics of Anisotropic Inhomogeneous Shells
(Nauka, Moscow, 1992)
[in Russian]. |
| 2. | F. R. Gantmakher,
Theory of Matrices
(Nauka, Moscow, 1992)
[in Russian]. |
| 3. | V. A. Steklov,
Foundations of Theory of
Integration of Ordinary Differential Equations
(Gostekhizdat, Moscow-Leningrad, 1927)
[in Russian]. |
| 4. | A. Yu. Vinogradov and Yu. I. Vinogradov,
"A Method of Transferring Boundary Conditions by
Cauchy-Krylov Functions for Rigid Linear Ordinary
Differential Equations,"
Dokl. Ross. Akad. Nauk
373 (4), 474-476 (2000)
[Russian Acad. Sci. Dokl. Math. (Engl. Transl.)]. |
|
| Received |
23 March 2006 |
| Link to Fulltext |
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