Approximate analytical solutions in the analysis of thin elastic plates

A.V. Matrosov, D.P. Goloskokov

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

2 Scopus citations

Abstract

Two approaches to the construction of approximate analytical solutions for bending of a rectangular thin plate are presented: the superposition method based on the method of initial functions (MIF) and the one built using the Green's function in the form of orthogonal series. Comparison of two approaches is carried out by analyzing a square plate clamped along its contour. Behavior of the moment and the shear force in the neighborhood of the corner points is discussed. It is shown that both solutions give identical results at all points of the plate except for the neighborhoods of the corner points. There are differences in the values of bending moments and generalized shearing forces in the neighborhoods of the corner points.

Original languageEnglish
Title of host publication8th Polyakhov's Reading
Subtitle of host publicationProceedings of the International Scientific Conference on Mechanics
EditorsElena V. Kustova, Gennady A. Leonov, Mikhail P. Yushkov, Nikita F. Morosov, Mariia A. Mekhonoshina
PublisherAmerican Institute of Physics
Volume1959
ISBN (Electronic)9780735416604
DOIs
StatePublished - 2 May 2018
EventInternational Scientific Conference on Mechanics - Eighth Polyakhov's Reading: 8th Polyakhov's Reading - Старый Петергоф, Saint Petersburg, Russian Federation
Duration: 29 Jan 20182 Feb 2018
Conference number: 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

Publication series

NameAIP Conference Proceedings
Volume1959
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Scientific Conference on Mechanics - Eighth Polyakhov's Reading
Country/TerritoryRussian Federation
CitySaint Petersburg
Period29/01/182/02/18
Internet address

Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'Approximate analytical solutions in the analysis of thin elastic plates'. Together they form a unique fingerprint.

Cite this