受压矩形截面柱在塑性阶段的缺陷敏感性分析<sup>*</sup>

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

受压矩形截面柱在塑性阶段的缺陷敏感性分析^*

1.
College of Structural Engineering, Tongji University, Shanghai 200092, P.R. China;
2.
Department of Mechanical Engineering, East China University of Techanology, Shanghai 200093, P.R. China

摘要: 对加载到塑性阶段的矩形截面柱,本文研究了几何缺陷对屈曲的影响.在分析中考虑了弹性卸载的影响.求出了荷载、缺陷大小及分叉模态幅值之间的精确渐近关系式.结果表明在塑性阶段最大承载力对小缺陷非常敏感,但当缺陷大小达到某一值后,可能不存在最大载荷.
- 塑性屈面 /
- 缺陷敏感性 /
- 渐近展开
Abstract: The effect of small geometrical imperfections on the buckling of a rectangular column compressed into the plastic range is studied. In the analysis, the effect of ealstic unloading is taken into account. An asymptotically exact relation is abtained among the load, the amplitude of imperfections and the amplitude of bifurcation mode. The results show that the maximum supported load is very sensitive to small imperfections, and that, however, there may not be maximum load if the imperfection amplitude is greater than some magnitude.
- plastic buckling /
- imperfection sensitivity /
- asymptotic expansion

[1]	J.W.Hutchinson,Imperfection-sensitivity in the plastic range,J.Mech.Phys.Solids.,21(1973),191-204.
[2]	J.W.Hutchinson,Plastic buckling,Adv.Appl.Mech.,14(1974),67-144.
[3]	Y.S.Cheng,W.D.Lu and H.Fang,Plastic post-buckling of a simply supported column with a solid rectangular cross-section,Appl.Math.Mech.,16(1995),713-722.
[4]	A.Needleman and V.Tvergaard,Aspects of plastic postbuckling behavior,Mecha nics of Solids,Oxford:Pergamon Press(1982),453-498.
[5]	X.M.Su and W.D.L u,Postbuckling and imperfection sensitivity analysis of structres in the plastic range:part 2,Thin-Walled Struct.,11(1991),203-217.
[6]	B.Budiansky,Theory of buckling and post-buckling behavior of elastic structures,Adv.Appl.Mech.,14(1974),1-65.
[7]	Y.S.Cheng and W.D.L u,Uniqueness and bifurcation in elastic-plastic solids,Int.J.Solids Structures,30(1993),3073-3084.

点击查看大图