Complete solution of the stability problem for elastica of Euler's column

被引：46

作者：

Kuznetsov, VV ^{[1
]}

Levyakov, SV

机构：

[1] Novosibirsk State Tech Univ, Dept Theoret Mech, Novosibirsk 630092, Russia

[2] Siberian Aeronaut Res Inst, Novosibirsk 630051, Russia

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2002年 / 37卷 / 06期

关键词：

elastica; stability; bifurcation point; eigensolution;

D O I：

10.1016/S0020-7462(00)00114-1

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The stability of postcritical equilibrium forms of a simply supported column loaded with an axial force is analyzed. Investigating the sign of the second variation of the column's total energy, we obtain the Sturm-Liouville boundary-value problem, which is solved numerically. The stability conditions are formulated in terms of eigenvalues of the problem. The complete solution to the column plane elastica is given. The ranges of the compressive force corresponding to stable equilibrium configurations of the column are established. (C), 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1003 / 1009

页数：7

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