STRESS-STRAIN STATE IN THE CORNER POINTS OF A CLAMPED PLATE UNDER UNIFORMLY DISTRIBUTED NORMAL LOAD

Research output

Abstract

The bending of a rectangular clamped thin plate under the uniformly distributed transverse load is considered. The solution of the Sophie Germaine equation is constructed by the method of initial functions (MIF). On two opposite sides the boundary conditions are satisfied exactly. Then, on the two remaining ones, the boundary conditions are satisfied approximately by the collocation method. The results of calculations of the stress-strain state at the corner points of the plate are given.

Original languageEnglish
Pages (from-to)142-146
Number of pages5
JournalMaterials Physics and Mechanics
Volume36
Issue number1
DOIs
Publication statusPublished - 1 Jan 2018

Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Materials Science(all)

Cite this

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title = "STRESS-STRAIN STATE IN THE CORNER POINTS OF A CLAMPED PLATE UNDER UNIFORMLY DISTRIBUTED NORMAL LOAD",
abstract = "The bending of a rectangular clamped thin plate under the uniformly distributed transverse load is considered. The solution of the Sophie Germaine equation is constructed by the method of initial functions (MIF). On two opposite sides the boundary conditions are satisfied exactly. Then, on the two remaining ones, the boundary conditions are satisfied approximately by the collocation method. The results of calculations of the stress-strain state at the corner points of the plate are given.",
keywords = "method of initial functions, bending of a plate clamped, corner points, RECTANGULAR PLATE, Bending of a plate clamped, Corner points, Method of initial functions",
author = "Matrosov, {Alexander V.} and Suratov, {Vladislav A.}",
year = "2018",
month = "1",
day = "1",
doi = "10.18720/MPM.3612018_16",
language = "Английский",
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pages = "142--146",
journal = "ФИЗИКА И МЕХАНИКА МАТЕРИАЛОВ",
issn = "1605-8119",
publisher = "Институт проблем машиноведения РАН",
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T1 - STRESS-STRAIN STATE IN THE CORNER POINTS OF A CLAMPED PLATE UNDER UNIFORMLY DISTRIBUTED NORMAL LOAD

AU - Matrosov, Alexander V.

AU - Suratov, Vladislav A.

PY - 2018/1/1

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N2 - The bending of a rectangular clamped thin plate under the uniformly distributed transverse load is considered. The solution of the Sophie Germaine equation is constructed by the method of initial functions (MIF). On two opposite sides the boundary conditions are satisfied exactly. Then, on the two remaining ones, the boundary conditions are satisfied approximately by the collocation method. The results of calculations of the stress-strain state at the corner points of the plate are given.

AB - The bending of a rectangular clamped thin plate under the uniformly distributed transverse load is considered. The solution of the Sophie Germaine equation is constructed by the method of initial functions (MIF). On two opposite sides the boundary conditions are satisfied exactly. Then, on the two remaining ones, the boundary conditions are satisfied approximately by the collocation method. The results of calculations of the stress-strain state at the corner points of the plate are given.

KW - method of initial functions

KW - bending of a plate clamped

KW - corner points

KW - RECTANGULAR PLATE

KW - Bending of a plate clamped

KW - Corner points

KW - Method of initial functions

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U2 - 10.18720/MPM.3612018_16

DO - 10.18720/MPM.3612018_16

M3 - статья

VL - 36

SP - 142

EP - 146

JO - ФИЗИКА И МЕХАНИКА МАТЕРИАЛОВ

JF - ФИЗИКА И МЕХАНИКА МАТЕРИАЛОВ

SN - 1605-8119

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