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Mathematical model for the bending of plastically anisotropic beams. / Pavilaynen, G. V.

в: Vestnik St. Petersburg University: Mathematics, Том 48, № 4, 01.10.2015, стр. 275-279.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Pavilaynen, GV 2015, 'Mathematical model for the bending of plastically anisotropic beams', Vestnik St. Petersburg University: Mathematics, Том. 48, № 4, стр. 275-279. https://doi.org/10.3103/S1063454115040093

APA

Pavilaynen, G. V. (2015). Mathematical model for the bending of plastically anisotropic beams. Vestnik St. Petersburg University: Mathematics, 48(4), 275-279. https://doi.org/10.3103/S1063454115040093

Vancouver

Pavilaynen GV. Mathematical model for the bending of plastically anisotropic beams. Vestnik St. Petersburg University: Mathematics. 2015 Окт. 1;48(4):275-279. https://doi.org/10.3103/S1063454115040093

Author

Pavilaynen, G. V. / Mathematical model for the bending of plastically anisotropic beams. в: Vestnik St. Petersburg University: Mathematics. 2015 ; Том 48, № 4. стр. 275-279.

BibTeX

@article{8925e44eb5d845cfa84950c32660a164,
title = "Mathematical model for the bending of plastically anisotropic beams",
abstract = "A mathematical model for the bending of a plastically anisotropic beam simply supported at both ends and subjected to a constant moment is considered. A differential equation with variable coefficients is derived for the beam curvature. The yield points of the beam material under tension and compression are assumed to be known. The elastoplastic bending of the beam with allowance for the strength-different (SD) effect is considered. The classical Bernoulli–Euler beam theory and the ideal plasticity model are used construct the mathematical model, and the problem is solved analytically. The solutions obtained for a classical isotropic beam and an SD beam are compared, and the contribution of the SD effect is analyzed. The problem is solved completely, and its results can be used to study bending under different loading.",
keywords = "beam, elastoplastic bending, strength-different effect",
author = "Pavilaynen, {G. V.}",
year = "2015",
month = oct,
day = "1",
doi = "10.3103/S1063454115040093",
language = "English",
volume = "48",
pages = "275--279",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Mathematical model for the bending of plastically anisotropic beams

AU - Pavilaynen, G. V.

PY - 2015/10/1

Y1 - 2015/10/1

N2 - A mathematical model for the bending of a plastically anisotropic beam simply supported at both ends and subjected to a constant moment is considered. A differential equation with variable coefficients is derived for the beam curvature. The yield points of the beam material under tension and compression are assumed to be known. The elastoplastic bending of the beam with allowance for the strength-different (SD) effect is considered. The classical Bernoulli–Euler beam theory and the ideal plasticity model are used construct the mathematical model, and the problem is solved analytically. The solutions obtained for a classical isotropic beam and an SD beam are compared, and the contribution of the SD effect is analyzed. The problem is solved completely, and its results can be used to study bending under different loading.

AB - A mathematical model for the bending of a plastically anisotropic beam simply supported at both ends and subjected to a constant moment is considered. A differential equation with variable coefficients is derived for the beam curvature. The yield points of the beam material under tension and compression are assumed to be known. The elastoplastic bending of the beam with allowance for the strength-different (SD) effect is considered. The classical Bernoulli–Euler beam theory and the ideal plasticity model are used construct the mathematical model, and the problem is solved analytically. The solutions obtained for a classical isotropic beam and an SD beam are compared, and the contribution of the SD effect is analyzed. The problem is solved completely, and its results can be used to study bending under different loading.

KW - beam

KW - elastoplastic bending

KW - strength-different effect

UR - http://www.scopus.com/inward/record.url?scp=84959321256&partnerID=8YFLogxK

U2 - 10.3103/S1063454115040093

DO - 10.3103/S1063454115040093

M3 - Article

AN - SCOPUS:84959321256

VL - 48

SP - 275

EP - 279

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 4

ER -

ID: 9118143