Concerning the problem of vibrational process localization on coatings with defects

Authors

  • Babeshko V.A. Kuban State University, Krasnodar, Российская Федерация
  • Babeshko O.M. Kuban State University, Krasnodar, Российская Федерация
  • Gladskoi I.B. Kuban State University, Krasnodar, Российская Федерация
  • Grishchenko D.V. Kuban State University, Krasnodar, Российская Федерация
  • Lozovoy V.V. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация
  • Pluzhnik A.V. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация
  • Shestopalov V.L. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация

UDC

539.3

Abstract

We described earlier, that both in dynamic and in static mixed boundary value problems can occur the localization of processes, which are described by the considered boundary problem. At the same time some new phenomena, which were not investigated earlier, are revealed. Block element approach is a useful tool for the investigation of phenomena of localization processes because the wording of the conditions of localization is based on the integral method of factorization, which is included in the algorithm of block elements building. The conditions of vibration localization process by the example of the mixed boundary problem concerning the vibration of coatings with defects are listed below. The investigation is based on the block element approach and also on “natural viruses” theory developed earlier in the study. The connection between the integral equations of the considered boundary value problem with the same ones in the specified theory is found.

Keywords:

localization, anomaly natural process, natural virus, boundary-value problems

Acknowledgement

Отдельные фрагменты работы выполнены при поддержке грантов РФФИ (12-01-00330, 12-01-00332, 13-01-96502, 13-01-96505, 13-01-96508, 14-08-00404, 13-01-12003-м), гранта Президента РФ (НШ-1245.2014.1), программ отделения ЭММПУ и Президиума РАН (проект 43), выполняемых Южным научным центром РАН.

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 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

Igor B. Gladskoi

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

e-mail: i.glad@list.ru

Dmitriy V. Grishchenko

аспирант кафедры математического моделирования Кубанского государственного университета

e-mail: icmm@fpm.kubsu.ru

Viktor V. Lozovoy

научный сотрудник Южного научного центра РАН

e-mail: niva_kgu@mail.ru

Andrey V. Pluzhnik

научный сотрудник Южного научного центра РАН

e-mail: infocenter@kubsu.ru

Valeriy L. Shestopalov

канд. техн. наук, заведующий лабораторией Южного научного центра РАН

e-mail: vlshestopalov@gmail.com

References

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Issue

2014. No. 4

Pages

13-20

Submitted

2014-12-07

Published

2014-12-22

How to Cite

Babeshko V.A., Babeshko O.M., Gladskoi I.B., Grishchenko D.V., Lozovoy V.V., Pluzhnik A.V., Shestopalov V.L. Concerning the problem of vibrational process localization on coatings with defects. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2014, no. 4, pp. 13-20. (In Russian)

Copyright (c) 2014 Babeshko V.A., Babeshko O.M., Gladskoi I.B., Grishchenko D.V., Lozovoy V.V., Pluzhnik A.V., Shestopalov V.L.

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