 | | 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: | | 12868 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8057
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| In English (Mech. Solids): | | 4811 |
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| B. V. Nerubailo and V. P. Ol’shanskii, "Asymptotic method for analysis of a conical shell under local loading," Mech. Solids. 42 (3), 429-436 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
3 |
Pages |
429-436 |
| Title |
Asymptotic method for analysis of a conical shell under local loading |
| Author(s) |
B. V. Nerubailo (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993, Russia, prof_nebo@mail.ru)
V. P. Ol’shanskii (National Technical University “Kharkiv Polytechnical Institute”, Frunze 21, Kharkov, 61002, Ukraine) |
| Abstract |
Differential equations of the general theory describing the stress-strain state of conical shells are very complicated, and when computing the exact solution of the problem by analytic methods one encounters severe or even so far insurmountable difficulties. Therefore, in the present paper we develop an approach based on the method of asymptotic synthesis of the stressed state, which has already proved efficient when solving similar problems for cylindrical shells [1, 2]. We essentially use the fourth-order differential equations obtained by Kan [3], which describe the ground state and the boundary effect. Earlier, such equations have already been used to solve problems concerning force and thermal actions on weakly conical shells [4–6]. By applying the asymptotic synthesis method to these equations, we manage to obtain sufficiently accurate closed-form solutions. |
| References |
| 1. | I. F. Obraztsov, B. V. Nerubailo, and I. V. Andrianov, Asymptotic Methods in the Structal Mechanics of Thin-Walled
Structures (Mashinostroenie, Moscow, 1991) [in Russian]. |
| 2. | B. V. Nerubailo, Local Strength Problems for Cylindrical
Shells (Mashinostroenie, Moscow, 1983) [in Russian]. |
| 3. | S. N. Kan,
Structural Mechanics of Shells
(Mashinostroenie, Moscow, 1966)
[in Russian]. |
| 4. | V. A. Sibiryakov, "Analysis of an Orthotropic Conical Shell for an
Arbitrary External Load by V. Z. Vlasov's Method," Izv. Vyssh.
Uchebn. Zaved. Aviats. Tekhnika, No. 2, 72-82 (1959). |
| 5. | V. A. Sibiryakov, "Determining Thermal Stresses in a Conical
Shell," Izv. Vyssh. Uchebn. Zaved. Aviats. Tekhnika, No. 1, 72-82
(1960). |
| 6. | B. V. Nerubailo, "On the Solution of Differential Equations of
Conical Shells with Singular Right-Hand Side," PMTF 37 (2),
157-161 (1996). |
| 7. | S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates
and Shells (McGraw-Hill, New York, 1959; Fizmatgiz, Moscow, 1963). |
| 8. | I. S. Gradshtein and I. M. Ryzhik,
Tables of Integrals, Sums, Series, and Products
(Nauka, Moscow, 1971)
[in Russian]. |
|
| Received |
01 June 2004 |
| Link to Fulltext |
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