Generalized Reissner analysis of large axisymmetric deflections of thin circular and annular plates

被引：6

作者：

Plaut, Raymond H. ^{[1
]}

机构：

[1] Virginia Tech, Dept Civil & Environm Engn, Blacksburg, VA 24061 USA

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2020年 / 203卷

关键词：

Circular plates; Annular plates; Large deflections; Ponding; Punch pull-off; Rigid hub; Edge moment; Pressure; VON-KARMAN PLATE; VONKARMAN EQUATIONS; BLISTER TEST; ADHESION;

D O I：

10.1016/j.ijsolstr.2020.08.004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A generalized Reissner theory for axisymmetric problems of thin circular and annular plates is applied to various problems. The plates are assumed to be linearly elastic, and shear deformation is neglected. Large deflections, rotations, and strains are allowed. The plate edges may be clamped or simply supported, movable or immovable. The types of loading considered are uniform pressure, central concentrated load, uniform edge moment, full ponding, and central rigid hub pushed downward (with or without an elastic foundation). In some cases, the effects of Poisson's ratio and the radius-to-thickness ratio are investigated, and the maximum deflections are compared to those based on von Karman theory and Reissner theory. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页码：131 / 137

页数：7

共 35 条

[1] Computer-extended perturbation solution for the large deflection of a circular plate .2. Central loading with clamped edge [J].

Cao, JJ .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1997, 50 :333-347

[2] Innovative iteration technique for large deflection problem of annular plate [J].

Chen, Y. Z. .

STEEL AND COMPOSITE STRUCTURES, 2013, 14 (06) :605-620

[3] Ponding problem of plates in nonlinear nature [J].

Cheng, ZQ ;

Liang, W ;

Chen, D .

MECHANICS RESEARCH COMMUNICATIONS, 1996, 23 (04) :335-337

[4]

Chia C.Y., 1980, Nonlinear Analysis of Plates, V1st

[5] LARGE DEFLECTION OF A CIRCULAR PLATE ON ELASTIC FOUNDATION UNDER A CONCENTRATED LOAD AT CENTER [J].

DATTA, S .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1975, 42 (02) :503-505

[6] AN APPROXIMATE SOLUTION OF THE AXISYMMETRIC VONKARMAN EQUATIONS FOR A POINT-LOADED CIRCULAR PLATE [J].

DOLOVICH, AT ;

BRODLAND, GW ;

THORNTONTRUMP, AB .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1988, 55 (01) :241-243

[7] NON-LINEAR AXISYMMETRIC STATIC ANALYSIS OF ORTHOTROPIC THIN ANNULAR PLATES [J].

DUMIR, PC ;

NATH, Y ;

GANDHI, ML .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1984, 19 (03) :255-272

[8] LARGE DEFLECTION AXISYMMETRIC ANALYSIS OF ORTHOTROPIC ANNULAR PLATES ON ELASTIC FOUNDATIONS [J].

DUMIR, PC .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1988, 24 (08) :777-787

[9] A clamped punch-loaded blister test for adhesion: a lumped parameter model and the bending-to-stretching behavior [J].

Feng, Luyi ;

Li, Xiwen ;

Shi, Tielin .

JOURNAL OF ADHESION SCIENCE AND TECHNOLOGY, 2015, 29 (16) :1733-1744

[10]

Frakes J.P., 1985, J APPL MECH, V52

← 1 2 3 4 →