ZADACHA O DEFORMIROVANII KRUGLOY PLASTINY S OTVERSTIEM
Authors:
1.
K(P)FU
2.
KNITU
3.
K(P)FU, Institut vychislitel'noy matematiki i IT
Type:
Article
Pages:
from 179
to 182
Status:
Published
Received:
19.04.2023
Accepted:
01.08.2025
Published:
01.08.2025
Subject area:
UDC 539.3
Language:
Russian
Keywords:
пластина, плита, трехмерная задача, перемещение, напряжения, вариационный принцип Лагранжа, уравнения Бесселя, модифицированные функции Бесселя, кольцевое напряжение, соотношения упругости, plate, a plate, a three-dimensional challenge, movement, tension, the Lagrangian variational principle, Bessel equations, modified Bessel function, annular tension, elasticity ratio
Abstract (English):
Is the stress concentration at the edge of the hole in a circular plate within the task "a" (terminology A.I. Lurie [1]). The three-dimensional problem of equilibrium of circular plates consist of two-dimensional using Lagrangian principle possible movements. See also the results of the calculations the dimensionless stress at the edge of the holes under the action of compressive, smooth, fast diminishing surface load.
Is the stress concentration at the edge of the hole in a circular plate within the task "a" (terminology A.I. Lurie [1]). The three-dimensional problem of equilibrium of circular plates consist of two-dimensional using Lagrangian principle possible movements. See also the results of the calculations the dimensionless stress at the edge of the holes under the action of compressive, smooth, fast diminishing surface load.
Keywords:
пластина, плита, трехмерная задача, перемещение, напряжения, вариационный принцип Лагранжа, уравнения Бесселя, модифицированные функции Бесселя, кольцевое напряжение, соотношения упругости, plate, a plate, a three-dimensional challenge, movement, tension, the Lagrangian variational principle, Bessel equations, modified Bessel function, annular tension, elasticity ratio
пластина, плита, трехмерная задача, перемещение, напряжения, вариационный принцип Лагранжа, уравнения Бесселя, модифицированные функции Бесселя, кольцевое напряжение, соотношения упругости, plate, a plate, a three-dimensional challenge, movement, tension, the Lagrangian variational principle, Bessel equations, modified Bessel function, annular tension, elasticity ratio
1. Lur'e A.I. Prostranstvennye zadachi teorii uprugosti. - M.: GITTL, 1995. - 494 s.
2. Belous P.A. "Osesimmetrichnye zadachi teorii uprugosti". Odessa: OGPU, 2000. - 183 s.
3. Hayrullin F.S., Serazutdinov M. N., Sidorin S.G. Raschet napryazhenno-deformirovannogo sostoyaniya sotovogo polikarbonata. Vestnik Kazanskogo tehnologicheskogo universiteta. № 9. Kazan'. 2010 g. S.433-437.
4. Hayrullin F.S., Sidorin S.G. Opredelenie napryazhenno-deformirovannogo sostoyaniya materiala sotovoy struktury. Vestnik Kazanskogo tehnologicheskogo universiteta. T. 15, № 18. Kazan'. 2012g. S. 23 - 26.
