Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
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 language | English |
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Title of host publication | 8th Polyakhov's Reading |
Subtitle of host publication | Proceedings of the International Scientific Conference on Mechanics |
Editors | Elena V. Kustova, Gennady A. Leonov, Mikhail P. Yushkov, Nikita F. Morosov, Mariia A. Mekhonoshina |
Publisher | American Institute of Physics |
Volume | 1959 |
ISBN (Electronic) | 9780735416604 |
DOIs | |
State | Published - 2 May 2018 |
Event | International Scientific Conference on Mechanics - Eighth Polyakhov's Reading: 8th Polyakhov's Reading - Старый Петергоф, Saint Petersburg, Russian Federation Duration: 29 Jan 2018 → 2 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 |
Name | AIP Conference Proceedings |
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Volume | 1959 |
ISSN (Print) | 0094-243X |
ISSN (Electronic) | 1551-7616 |
Conference | International Scientific Conference on Mechanics - Eighth Polyakhov's Reading |
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Country/Territory | Russian Federation |
City | Saint Petersburg |
Period | 29/01/18 → 2/02/18 |
Internet address |
ID: 28343390