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On the solving of equilibrium problem for the soft network shell with a load concentrated at the point

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dc.contributor.author Badriev I.
dc.contributor.author Banderov V.
dc.contributor.author Zadvornov O.
dc.date.accessioned 2018-09-18T20:48:56Z
dc.date.available 2018-09-18T20:48:56Z
dc.date.issued 2013
dc.identifier.issn 2224-9893
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/142446
dc.description.abstract A spatial equilibrium problem of a soft network shell in the presence of external point load concentrated at some point is considered. A network shell is understood to mean the shell which has as its strength basement the net formed by two families of mutually intersecting, absolutely flexible, elastic threads. It is supposed that functions describing physical relations in the threads are continuous, nondecreasing, and have the linear growth at infinity. The generalized problem in the form of operator equation in the Sobolev space is formulated. It is proved that the set of solutions of the generalized problem is non-empty, convex, and closed. The finite dimensional approximations of the problem are constructed and their convergence is investigated. To solve the problem, we used a two-layer iterative method. This method was realized numerically. The numerical experiments made for the model problems confirmed the efficiency of the iterative method.
dc.relation.ispartofseries PNRPU Mechanics Bulletin
dc.subject Finite dimensional approximations
dc.subject Mathematical simulation
dc.subject Point load
dc.subject Soft network shell
dc.subject Two-layer iterative method
dc.title On the solving of equilibrium problem for the soft network shell with a load concentrated at the point
dc.type Article
dc.relation.ispartofseries-issue 3
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 17
dc.source.id SCOPUS22249893-2013-3-SID84893590865


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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