About a starting earthquake by harmonic actions in the space case

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
  • Khripkov D.A. Kuban State University, Krasnodar, Российская Федерация
  • Lozovoy V.V. 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
  • Evdokimov V.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

UDC

539.3

DOI:

https://doi.org/10.31429/vestnik-15-2-24-29

Abstract

The object of study is the behavior of two semi-infinite tectonic plates under vibration conditions located on a deformable ground in the form a deformable layer. It is taken to be that the plates have parallel vertical boundaries and two positions on the layer -- when there is some distance between their edges and when there is not. An antiplane boundary problem is studied on the assumption that the edges of the tectonic plates act harmonically in time with the same frequency of stress, parallel to one of the coordinate axes. The boundary problem stated for a triblock structure is studied by the block element method, the algorithm of which requires the implementing of exterior form operations, exterior analysis, and the creating of the quotient topology for the block structure. The problem reduces to studying functional equations the solutions of which are the contact stresses. The concentrations of contact stresses which show the probability of a starting earthquake when the tectonic plates come together are studied.

Keywords:

block element, factorization, topology, integral and differential factorization methods, exterior forms, block structures, boundary problems, singular peculiarity

Acknowledgement

Отдельные фрагменты работы выполнены в рамках реализации Госзадания на 2018~г., проекты (9.8753.2017/8.9), (01201354241), программ президиума РАН I-16, (00-18-21), I-52 проект (00-18-29), и при поддержке грантов РФФИ (16-41-230214), (16-41-230218), (16-48-230216), (17-08-00323), (18-08-00465), (18-01-00384), (18-05-80008).

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

Dmitriy A. Khripkov

научный сотрудник Кубанского государственного университета

e-mail: vestnik@kubsu.ru

Victor V. Lozovoy

канд. физ.-мат. наук, научный сотрудник Южного научного центра РАН

e-mail: niva_kgu@mail.ru

Samir B. Uafa

младший научный сотрудник Южного научного центра РАН

e-mail: uafa70@mail.ru

Vladimir S. Evdokimov

студент Кубанского государственного университета, лаборант Южного научного центра РАН

e-mail: evdok_vova@mail.ru

Yuri B. Eletskiy

заведующий лабораторией Южного научного центра РАН

e-mail: elezkiy@priazovneft.ru

References

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Issue

Section

Mechanics

Pages

24-29

Submitted

2018-06-20

Published

2018-06-27

How to Cite

Babeshko V.A., Evdokimova O.V., Babeshko O.M., Khripkov D.A., Lozovoy V.V., Uafa S.B., Evdokimov V.S., Eletskiy Yu.B. About a starting earthquake by harmonic actions in the space case. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2018, vol. 15, no. 2, pp. 24-29. DOI: https://doi.org/10.31429/vestnik-15-2-24-29 (In Russian)