Approximate analytical solutions in the analysis of elastic structures of complex geometry

Dmitriy Goloskokov, A. Matrosov

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

1 цитирование (Scopus)

Выдержка

A method of analytical decomposition for analysis plane structures of a complex configuration is presented. For each part of the structure in the form of a rectangle all the components of the stress-strain state are constructed by the superposition method. The method is based on two solutions derived in the form of trigonometric series with unknown coefficients using the method of initial functions. The coefficients are determined from the system of linear algebraic equations obtained while satisfying the boundary conditions and the conditions for joining the structure parts. The components of the stress-strain state of a bent plate with holes are calculated using the analytical decomposition method.

Язык оригиналаанглийский
Название основной публикацииEIGHTH POLYAKHOV'S READING
Подзаголовок основной публикацииProceedings of the International Scientific Conference on Mechanics
РедакторыElena V. Kustova, Gennady A. Leonov, Mikhail P. Yushkov, Nikita F. Morosov, Mariia A. Mekhonoshina
ИздательAmerican Institute of Physics
Число страниц7
ISBN (электронное издание)9780735416604
DOI
СостояниеОпубликовано - 2 мая 2018
СобытиеВосьмые Поляховские чтения: международная научная конференция по механике - Старый Петергоф, Saint Petersburg, Российская Федерация
Продолжительность: 29 янв 20182 фев 2018
Номер конференции: 8
https://events.spbu.ru/events/polyakhov_readings
http://nanomat.spbu.ru/en/node/175
http://nanomat.spbu.ru/ru/node/192
http://spbu.ru/news-events/calendar/viii-polyahovskie-chteniya

Серия публикаций

НазваниеAIP Conference Proceedings
Номер1
Том1959
ISSN (печатное издание)0094-243X
ISSN (электронное издание)1551-7616

Конференция

КонференцияВосьмые Поляховские чтения
СтранаРоссийская Федерация
ГородSaint Petersburg
Период29/01/182/02/18
Адрес в сети Интернет

Предметные области Scopus

  • Физика и астрономия (все)

Цитировать

Goloskokov, D., & Matrosov, A. (2018). Approximate analytical solutions in the analysis of elastic structures of complex geometry. В E. V. Kustova, G. A. Leonov, M. P. Yushkov, N. F. Morosov, & M. A. Mekhonoshina (Ред.), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics [070013] (AIP Conference Proceedings; Том 1959, № 1). American Institute of Physics. https://doi.org/10.1063/1.5034688
Goloskokov, Dmitriy ; Matrosov, A. / Approximate analytical solutions in the analysis of elastic structures of complex geometry. EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. редактор / Elena V. Kustova ; Gennady A. Leonov ; Mikhail P. Yushkov ; Nikita F. Morosov ; Mariia A. Mekhonoshina. American Institute of Physics, 2018. (AIP Conference Proceedings; 1).
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abstract = "A method of analytical decomposition for analysis plane structures of a complex configuration is presented. For each part of the structure in the form of a rectangle all the components of the stress-strain state are constructed by the superposition method. The method is based on two solutions derived in the form of trigonometric series with unknown coefficients using the method of initial functions. The coefficients are determined from the system of linear algebraic equations obtained while satisfying the boundary conditions and the conditions for joining the structure parts. The components of the stress-strain state of a bent plate with holes are calculated using the analytical decomposition method.",
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Goloskokov, D & Matrosov, A 2018, Approximate analytical solutions in the analysis of elastic structures of complex geometry. в EV Kustova, GA Leonov, MP Yushkov, NF Morosov & MA Mekhonoshina (ред.), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics., 070013, AIP Conference Proceedings, № 1, том. 1959, American Institute of Physics, Восьмые Поляховские чтения, Saint Petersburg, Российская Федерация, 29/01/18. https://doi.org/10.1063/1.5034688

Approximate analytical solutions in the analysis of elastic structures of complex geometry. / Goloskokov, Dmitriy; Matrosov, A.

EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. ред. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. American Institute of Physics, 2018. 070013 (AIP Conference Proceedings; Том 1959, № 1).

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

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T1 - Approximate analytical solutions in the analysis of elastic structures of complex geometry

AU - Goloskokov, Dmitriy

AU - Matrosov, A.

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N2 - A method of analytical decomposition for analysis plane structures of a complex configuration is presented. For each part of the structure in the form of a rectangle all the components of the stress-strain state are constructed by the superposition method. The method is based on two solutions derived in the form of trigonometric series with unknown coefficients using the method of initial functions. The coefficients are determined from the system of linear algebraic equations obtained while satisfying the boundary conditions and the conditions for joining the structure parts. The components of the stress-strain state of a bent plate with holes are calculated using the analytical decomposition method.

AB - A method of analytical decomposition for analysis plane structures of a complex configuration is presented. For each part of the structure in the form of a rectangle all the components of the stress-strain state are constructed by the superposition method. The method is based on two solutions derived in the form of trigonometric series with unknown coefficients using the method of initial functions. The coefficients are determined from the system of linear algebraic equations obtained while satisfying the boundary conditions and the conditions for joining the structure parts. The components of the stress-strain state of a bent plate with holes are calculated using the analytical decomposition method.

KW - INITIAL FUNCTIONS

KW - BIHARMONIC PROBLEM

KW - EQUILIBRIUM

KW - RECTANGLE

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A2 - Kustova, Elena V.

A2 - Leonov, Gennady A.

A2 - Yushkov, Mikhail P.

A2 - Morosov, Nikita F.

A2 - Mekhonoshina, Mariia A.

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Goloskokov D, Matrosov A. Approximate analytical solutions in the analysis of elastic structures of complex geometry. В Kustova EV, Leonov GA, Yushkov MP, Morosov NF, Mekhonoshina MA, редакторы, EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. American Institute of Physics. 2018. 070013. (AIP Conference Proceedings; 1). https://doi.org/10.1063/1.5034688