LATERAL BUCKLING OF END-LOADED CANTILEVER BEAMS

被引：23

作者：

REISSNER, E

机构：

[1] Dept of Applied Mechanics and Eng. Sciences, University of California San Diego, La Jolla, California

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1979年 / 30卷 / 01期

关键词：

D O I：

10.1007/BF01597478

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The classical problem of lateral buckling of cantilever beams with transverse end load is reexamined, as an example of a problem fully governed by the intrinsic equations of Kirchhoff's curved beam theory. It is shown that a suitable non-dimensionalization of the differential equations of the problem leads to a straightforward perturbation solutions, with leading and second-order terms of the expansion having well-defined differences in physical significance. The equations of a recent extension of Kirchhoff's theory, which take account of transverse shear deformation, are used for the purpose of obtaining a numerical result for the influence of shear deformability on the lateral buckling load. © 1979 Birkhäuser Verlag.

引用

页码：31 / 40

页数：10