 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 51, Issue 4 / 2016 | Next article >> |
| M.F. Baburchenkov and N.M. Borodachev, "Infinite Systems in Problems for a Stiffened Rectangular Plate," Mech. Solids. 51 (4), 436-450 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
4 |
Pages |
436-450 |
| DOI |
10.3103/S0025654416040075 |
| Title |
Infinite Systems in Problems for a Stiffened Rectangular Plate |
| Author(s) |
M.F. Baburchenkov (Smolensk Auto Aggregate Plant AMO ZIL, ul. Gubenko 26, Smolensk, 214011 Russia, babur_mf@mail.ru)
N.M. Borodachev (National Aviation University, pr. Kosmonavta Komarova 1, Kiev, 03680 Ukraine) |
| Abstract |
A method is proposed for obtaining analytic solutions of a set of infinite systems of linear algebraic equations arising in problems of elasticity for stiffened rectangular plates with stiffening ribs. The method is based on a transformation of a set of infinite systems to a single system and on determining a majorant of the function generating the system series with regard to the order of the unknowns. It is proved that the constructed solution satisfies the infinite system for large indices of the unknowns. The amount of computations is decreased, and the reliability of the results increases. Some realization examples are given. |
| Keywords |
interaction mechanics, stiffened rectangular plate, infinite systems of equations |
| References |
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|
| Received |
22 November 2013 |
| Link to Fulltext |
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