Factorization methods in the problem of the bases and coverings of polygonal forms

Authors

  • Babeshko V.A. Kuban State University, Krasnodar, Российская Федерация
  • Evdokimova O.V. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация
  • Babeshko O.M. Kuban State University, Krasnodar, Российская Федерация
  • Telyatnikov I.S. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация
  • Eletskiy Yu.B. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация
  • Uafa S.B. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация

UDC

539.3

Abstract

The block element method is considered in mechanics mixed boundary problems for continuous bodies The approach was induced by Wiener-Hopf method, and its extension to space case is called integral factorization method and mostly used in applications with the smooth-boundary areas. In this work the method is used for sectionally smooth boundary areas with corner points, what requested its development for two- complex-variable functions. Concerned boundary problems have numerous applications for the tasks of mechanics, theoretical and technical physics. Created method was tested on a vector contact problem for wedge-shaped stamp, taking place in the first quadrant. Means of achieving of different solution's characteristics are described in details. They are based on convertion of one-dimensional linear integral equation system, typical to dynamic and static contact problems for stripe-stamps.

Keywords:

vector contact problem, system of integral equations, wedge-shaped area, block element, factorization, approximate values, singular characteristics

Acknowledgement

Отдельные фрагменты работы выполнены в рамках реализации Госзадания на 2017 г. проекты (9.8753.2017/БЧ), (0256-2014-0006), Программы президиума РАН 1-33П, проекты с (0256-2015-0088) по (0256-2015-0093), и при поддержке грантов РФФИ (15-01-01379, 15-08-01377, 16-41-230214, 16-41-230218, 16-48-230216, 17-08-00323).

Author Infos

Vladimir A. Babeshko

академик РАН, д-р физ.-мат. наук, зав. кафедрой математического моделирования Кубанского государственного университета, директор Научно-исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета, заведующий лабораторией Южного федерального университета

e-mail: babeshko41@mail.ru

Olga V. Evdokimova

д-р физ.-мат. наук, главный научный сотрудник Южного научного центра РАН

e-mail: evdokimova.olga@mail.ru

Olga M. Babeshko

д-р физ.-мат. наук, главный научный сотрудник Научно-исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета

e-mail: babeshko49@mail.ru

Ilya S. Telyatnikov

канд. физ.-мат. наук, младший научный сотрудник лаборатории прикладной математики и механики Южного научного центра РАН

e-mail: ilux_t@list.ru

Yuriy B. Eletskiy

заведующий лабораторией Южного научного центра РАН

e-mail: elezkiy@priazovneft.ru

Samir B. Uafa

инженер Кубанского государственного университета

e-mail: uafa70@mail.ru

References

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Issue

Pages

5-12

Submitted

2017-06-18

Published

2017-06-30

How to Cite

Babeshko V.A., Evdokimova O.V., Babeshko O.M., Telyatnikov I.S., Eletskiy Yu.B., Uafa S.B. Factorization methods in the problem of the bases and coverings of polygonal forms. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2017, no. 2, pp. 5-12. (In Russian)