 | | 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
|
| In English (Mech. Solids): | | 3212 |
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| A.V. Belyaev, Yu.I. Vinogradov, and M.V. Konstantinov, "On the Choice of the Mathematical Model of Spherical Shell for Strength Calculation," Mech. Solids. 53 (3), 329-339 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
3 |
Pages |
329-339 |
| DOI |
10.3103/S0025654418070117 |
| Title |
On the Choice of the Mathematical Model of Spherical Shell for Strength Calculation |
| Author(s) |
A.V. Belyaev (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, str. 1, Moscow, 105005 Russia)
Yu.I. Vinogradov (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, str. 1, Moscow, 105005 Russia, yuvino@rambler.ru)
M.V. Konstantinov (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, str. 1, Moscow, 105005 Russia) |
| Abstract |
Aerospace and other systems usually have spherical tanks, as the most optimal in terms of weight ratio. The functional units of such systems are connected by frames. Consequently, tanks (spherical shells) are loaded locally in them. In this case, the strength of the shell is determined by the stresses in the places of their concentration.
The importance of solving the problems of the strength of a spherical shell attracts the attention of researchers in terms of simplifying mathematical models for engineering calculations with controlled error.
In the article, quantitative criteria for the well-known simplified mathematical models (the theory of shallow shells and asymptotic) are determined for use in solving strength problems with controlled error. |
| Keywords |
spherical shell, mathematical model of deformation, quantitative analysis |
| References |
| 1. | V. Z. Vlasov,
Selected Works, Vol. 1. Sketch of scientific activity "The General Theory of Shells." Articles
(Izdat. AN SSSR, Moscow, 1962)
[in Russian]. |
| 2. | A. L. Goldenveizer,
Theory of Elastic Thin Shells
(Nauka, Moscow, 1976)
[in Russian]. |
| 3. | A. P. Filin,
Elements of the Theory of Shells
(Stroiizdat, Leningrad Division, Leningrad, 1975)
[in Russian]. |
| 4. | V. V. Novozhilov, K. F. Chernykh, and E. I. Mikhailovskii,
The Linear Theory of Thin Shells
(Politekhnika, Leningrad, 1991)
[in Russian]. |
| 5. | Yu. I. Vinogradov, V. P. Georgievskii, and M. V. Konstantinov,
"Goldenweizer Asymptotics in Strength Calculations of Spherical Reservoirs,"
Vestnik MGTU im. N.E. Baumana. Mashinostr.,
No. 3, 119-133 (2015). |
| 6. | G. B. Men'kov,
Solution of Problems of Deformable Shell Mechanics by Functional Normalization Method,
Candidate's Dissertation in Physics and Mathematics
(Kazan, 1999)
[in Russian]. |
| 7. | Y. I. Vinogradov and G. B. Men'kov,
A Method for Functional Normalization for Boundary Value Problems in the Theory of Shells
(Editorial URSS, Moscow, 2001)
[in Russian]. |
| 8. | Y. M. Grigorenko, L. A. Il'in, and A. D. Kovalenko,
Theory of Thin Conical Shells and Their Applications in Machine Engineering
(Izdat. AN UkrSSR, Kiev, 1963)
[in Russian]. |
| 9. | Yu. I. Vinogradov and M. V. Konstantinov,
"Analysis of a Spherical Tank under a Local Action,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 109-120 (2016)
[Mech. Solids. (Engl. Transl.)
51 (2), 223-233 (2016)]. |
| 10. | Yu. I. Vinogradov,
"Influence of Frame Rigidity on Deformation Mechanics of Cylindrical Shells,"
Izv. Vyssh. Uchebn. Zaved. Mashinostr., No. 9, 20-25 (2013). |
| 11. | A. A. Amosov, Yu. A. Dubinsky, and N. V. Kopchenova,
Computational Methods for Engineers
(Vysshaya Shkola, Moscow, 1994)
[in Russian]. |
| 12. | M. V. Konstantinov,
"Vlasov Mathematical Model Inaccuracy Quantitative Assessment for a Shallow Spherical Shell,"
Nauka Obraz. Nauch. Izd. MGTU im. N. E. Baumana,
No. 12, 858-877 (2014). |
|
| Received |
29 December 2016 |
| Link to Fulltext |
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