Directed antenna in block structure
UDC
539.3Abstract
The work is devoted to studying the problem of creating directional antennas in block structures, blocks of which are heterogeneous interacting bodies. Previously, the authors have conducted a similar study for the case of multi-layer medium on an elastic half-space. The area of the study was a half-space in which the antenna direction was formed. Contact between the layers and a half-space made it possible for the vibration influence directed from the surface reach half-space. The problem is much more complicated in the case of an arbitrary block structure. Here it is necessary to solve the problem of contact interaction of blocks that require a specification of regions occupied by blocks and the nature of the contact between them. The study is based on earlier results obtained by the method of block element, and the most recent results based on topological methods for solving boundary value problems. Further research related to the question of localization of the stress-strain state in a separate block, which is also broad enough task, but which has already been performed separately.
Keywords:
block element, factorization, topology, integral and differential factorization methods, exterior forms, block structures, boundary problemsFunding information
Отдельные фрагменты работы выполнены при поддержке грантов РФФИ (12-01-00330, 12-01-00332, 13-01-96502, 13-01-96505, 13-01-96508, 13-01-96509, 14-08-00404, 13-01-12003-м), гранта Президента РФ НШ-1245.2014.1, программ отделения ЭММПУ и Президиума РАН, выполняемых Южным научным центром РАН.
References
- Бабешко В.А., Евдокимова О.В., Бабешко О.М. О дифференциальном методе факторизации в задачах для сплошных сред // ДАН. 2008. Т. 421. № 1. С. 37-40. [Babeshko V.A., Evdokimova O.V., Babeshko O.M. On the differential factorization method in problems for continuous media. Dokl. Phys., 2008, vol. 53, iss. 7, pp. 371-374.]
- Бабешко В.А., Евдокимова О.В., Бабешко О.М. Дифференциальный метод факторизации в статических задачах // ДАН. 2008. Т. 423. № 6. С. 748-752. [Babeshko V.A., Babeshko O.M., Evdokimova O.V. On the differential factorization method in static problems. Dokl. Phys., 2008, vol. 53, pp. 639-643.]
- Евдокимова О.В., Бабешко О.М., Бабешко В.А. О дифференциальном методе факторизации в неоднородных задачах // ДАН. 2008. Т. 418. № 3. С. 321-323. [Evdokimova O.V., Babeshko O.M., Babeshko V.A. On the differential factorization method in inhomogenious problems. Dokl. Math., 2008, vol. 77, pp. 140-142.]
- Бабешко В.А., Евдокимова О.В., Бабешко О.М. Дифференциальный метод факторизации в блочных структурах и нано структурах // ДАН. 2007. Т. 415. № 5. С. 596-599. [Babeshko V.A., Evdokimova O.V., Babeshko O.M. Differential factorization method in block structures and nanostructures. Dokl. Math., 2007, vol. 76, pp. 614-617.]
- Бабешко В.А., Глушков Е.В., Зинченко Ж.Ф. Динамика неоднородных линейно-упругих сред. М.: Наука, 1989. 344 с. [Babeshko V.A., Glushkov B.V., Zinchenko N.F. Dynamics of inhomogenious linearly elastic media, Moscow, Nauka Publ., 1979, 344 p.]
- Ворович И.И., Бабешко В.А., Динамические смешанные задачи теории упругости для неклассических областей. М.: Наука, 1979. 320 с. [Vorovich I.I., Basbeshko V.A. Mixed dynamic problems of elasticity theory in unbounded domains, Moscow, Nauka Publ., 1979, 320 p.]
- Бабешко В.А., Евдокимова О.В., Бабешко О.М. Топологический метод решения граничных задач и блочные элементы // ДАН. 2013. Т. 449. № 4. С. 657-660. [Babeshko V.A., Evdokimova O.V., Babeshko O.M. Topological method of solving doundary-value problem and block elements. Dokl. Phys., 2013, vol. 58, iss. 4, pp. 152-155.]
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Copyright (c) 2014 Бабешко В.А., Евдокимова О.В., Бабешко О.М., Гладской И.Б., Горшкова Е.М.

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