Standard

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. ed. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. American Institute of Physics, 2018. 070013 (AIP Conference Proceedings; Vol. 1959, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Goloskokov, D & Matrosov, A 2018, Approximate analytical solutions in the analysis of elastic structures of complex geometry. in EV Kustova, GA Leonov, MP Yushkov, NF Morosov & MA Mekhonoshina (eds), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics., 070013, AIP Conference Proceedings, no. 1, vol. 1959, American Institute of Physics, International Scientific Conference on Mechanics - Eighth Polyakhov's Reading, Saint Petersburg, Russian Federation, 29/01/18. https://doi.org/10.1063/1.5034688

APA

Goloskokov, D., & Matrosov, A. (2018). Approximate analytical solutions in the analysis of elastic structures of complex geometry. In E. V. Kustova, G. A. Leonov, M. P. Yushkov, N. F. Morosov, & M. A. Mekhonoshina (Eds.), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics [070013] (AIP Conference Proceedings; Vol. 1959, No. 1). American Institute of Physics. https://doi.org/10.1063/1.5034688

Vancouver

Goloskokov D, Matrosov A. Approximate analytical solutions in the analysis of elastic structures of complex geometry. In Kustova EV, Leonov GA, Yushkov MP, Morosov NF, Mekhonoshina MA, editors, 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

Author

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. editor / Elena V. Kustova ; Gennady A. Leonov ; Mikhail P. Yushkov ; Nikita F. Morosov ; Mariia A. Mekhonoshina. American Institute of Physics, 2018. (AIP Conference Proceedings; 1).

BibTeX

@inproceedings{38ac06a19b8d438f8df7c424ba74908d,
title = "Approximate analytical solutions in the analysis of elastic structures of complex geometry",
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.",
keywords = "INITIAL FUNCTIONS, BIHARMONIC PROBLEM, EQUILIBRIUM, RECTANGLE",
author = "Dmitriy Goloskokov and A. Matrosov",
year = "2018",
month = may,
day = "2",
doi = "10.1063/1.5034688",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
number = "1",
editor = "Kustova, {Elena V.} and Leonov, {Gennady A.} and Yushkov, {Mikhail P.} and Morosov, {Nikita F.} and Mekhonoshina, {Mariia A.}",
booktitle = "EIGHTH POLYAKHOV'S READING",
address = "United States",
note = "International Scientific Conference on Mechanics - Eighth Polyakhov's Reading : 8th Polyakhov's Reading ; Conference date: 29-01-2018 Through 02-02-2018",
url = "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",

}

RIS

TY - GEN

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

AU - Goloskokov, Dmitriy

AU - Matrosov, A.

N1 - Conference code: 8

PY - 2018/5/2

Y1 - 2018/5/2

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

UR - http://www.scopus.com/inward/record.url?scp=85047183221&partnerID=8YFLogxK

U2 - 10.1063/1.5034688

DO - 10.1063/1.5034688

M3 - Conference contribution

T3 - AIP Conference Proceedings

BT - EIGHTH POLYAKHOV'S READING

A2 - Kustova, Elena V.

A2 - Leonov, Gennady A.

A2 - Yushkov, Mikhail P.

A2 - Morosov, Nikita F.

A2 - Mekhonoshina, Mariia A.

PB - American Institute of Physics

T2 - International Scientific Conference on Mechanics - Eighth Polyakhov's Reading

Y2 - 29 January 2018 through 2 February 2018

ER -

ID: 13394733