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IssuesArchive of Issues2016-4pp.436-450

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Total articles in the database: 9179
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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 http://link.springer.com/article/10.3103/S0025654416040075
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