A BENDING PROBLEM OF AN INFINITE PLATE WEAKENED BY TWO IDENTICAL HOLES

被引：0

作者：

Abashidze, Zurab ^{[1
]}

机构：

[1] Georgian Tech Univ, Dept Math, 77 Kostava Str, GE-0175 Tbilisi, Georgia

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2022年 / 176卷 / 02期

关键词：

Cutting force; Normal bending moment; Plate deflection; Conformal mapping; Linear conjugation value problem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the bending problem for an infinite plate weakened by two square-shaped holes. The contours of the holes have the grooves at the vertices of the square along the smooth contours and are the sought part of the plate boundary. Applying the theory of functions of a complex variable and the conformal mapping theory, this problem is reduced to a boundary problem of the analytic function theory. A plate deflection and an unknown part of the boundary are found, assuming that the tangential normal moment on it is a constant value.

引用

页码：163 / 171

页数：9

共 50 条

[1] BENDING PROBLEM OF A FINITE COMPOSITE LAMINATED PLATE WEAKENED BY MULTIPLE ELLIPTICAL HOLES
Mao, Chunjian
Xu, Xiwu
[J]. ACTA MECHANICA SOLIDA SINICA, 2013, 26 (04) : 419 - 426
[2] BENDING PROBLEM OF A FINITE COMPOSITE LAMINATED PLATE WEAKENED BY MULTIPLE ELLIPTICAL HOLES
Chunjian Mao
Xiwu Xu
[J]. Acta Mechanica Solida Sinica, 2013, 26 (04) : 419 - 426
[3] Bending problem of a finite composite laminated plate weakened by multiple elliptical holes
Mao C.
Xu X.
[J]. Acta Mech. Solida Sin., 4 (419-426): : 419 - 426
[4] BENDING OF A SEMI-INFINITE ANISOTROPIC PLATE WEAKENED BY CURVILINEAR CUTS
LYUBCHAK, VA
FILSHTINSKII, LA
[J]. SOVIET APPLIED MECHANICS, 1982, 18 (10): : 910 - 913
[5] Construction of elastoplastic boundary in problem of tension of a plate weakened by holes
Senashov, S. I.
Gomonova, O. V.
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2019, 108 : 7 - 10
[6] Bending of a semi-infinite cantilevered plate weakened by a cut with contacting edges
Perepichka V.V.
[J]. Journal of Mathematical Sciences, 1998, 90 (2) : 1978 - 1981
[7] INVERSE PROBLEM OF THERMAL ELASTICITY FOR PLANE WEAKENED BY INFINITE LINE OF IDENTICAL ORIFICES
MIRSALIMOV, VM
[J]. IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1976, (02): : 110 - 114
[8] TRANSVERSE BENDING OF AN INFINITE PLATE WITH A DOUBLY PERIODIC ARRAY OF HOLES
YAMADA, K
TAKEUTI, Y
[J]. BULLETIN OF THE JSME-JAPAN SOCIETY OF MECHANICAL ENGINEERS, 1979, 22 (173): : 1537 - 1543
[9] Uniform rotation of a polygonal plate weakened by two linear crack holes
Kuliyev, S. A.
[J]. MECHANICS RESEARCH COMMUNICATIONS, 2010, 37 (02) : 184 - 190
[10] An infinite plate weakened by periodic cracks
Chen, YZ
Lee, KY
[J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2002, 69 (04): : 552 - 555

← 1 2 3 4 5 →