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.
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页码：151 / 156
页数：6
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