Buckling and post-buckling of a nonlinearly elastic column

被引：17

作者：

Brojan, M. ^{[1
]}

Puksic, A. ^{[1
]}

Kosel, F. ^{[1
]}

机构：

[1] Univ Ljubljana, Fac Mech Engn, Ljubljana 1000, Slovenia

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2007年 / 87卷 / 07期

关键词：

stability; post-buckling; material nonlinearity; large deflections; critical force; Ludwick formula; bifurcation; limit load; finite disturbance buckling;

D O I：

10.1002/zamm.200710333

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The classical problem of buckling of an inextensible elastic column, under the action of a compressive force is examined. The column is made of nonlinearly elastic material for which the stress-strain relation is represented by the Ludwick constitutive law. An approximative formula for determination of the force at immediate post-buckling is given. Further post-buckling solutions are obtained for different values of the nonlinearity parameter by numerical integration using the Runge-Kutta-Fehlberg algorithm, and are presented in non-dimensional diagrams. It is shown that no bifurcation point is found in the case of nonlinearly elastic column. (c) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：518 / 527

页数：10

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