THE PROBLEM OF DEFLECTION SHAPES OF A SIMPLY SUPPORTED PLATE UNDER A LONGITUDINAL STRAIN

被引：0

作者：

Sharafutdinova, G. G. ^{[1
]}

机构：

[1] Bashkir State Univ, Sterlitamak Branch, 49 Prospekt Lenina, Sterlitamak 453103, Russia

来源：

UFA MATHEMATICAL JOURNAL | 2012年 / 4卷 / 04期

关键词：

Deflection of the plate; approximate study; critical strain; bifurcation points; asymptotic formulas; state of balance;

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 the approximate study of the problem of the bifurcation behaviour of an elastic plate with the change of the longitudinal compressive strain is carried out. A new scheme which allows to determine the critical values of the strain at which the plate takes a stable curvilinear equilibrium is constructed. The scheme also leads to an asymptotic formula which describes the nonlinear deflections of the plate when passing through the critical strain.

引用

页码：151 / 156

页数：6