单向压缩简支矩形板后屈曲摄动分析

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

Perturbation Analyses for the Postbuckling of Simply Supported Rectangular Plates under Uniaxial Compression

摘要: 本文从Kármán板大挠度方程出发,以挠度为摄动参数,采用直接摄动法,研究了简支矩形板在单向压缩作用下的后屈曲性态.本文讨论了两种面内边界条件,同时考虑了初始挠度的影响.计算结果与实验结果的比较表明二者是一致的.本文所用的方法,没有见到有人发表过.作者认为,对于矩形板后屈曲分析,本文是比较简明的.

Abstract: In this paper,applying perturbation method to von Karman nonlinear large deftection equations of plates by taking deflection as perturbation parameter,the postbuckling behavior of simply supported rectangular plates under uniaxiai compression is insestigated.Two types of in-plane bouridary conditions are now considered and the effecis of initial imperfections are also studied.It is found that the theoretical results are in good agreement with experiments.The method suggested in this paper which has not been found in previous papers is rather simple and easy for the postbuckling analysis of rectangular plates.

[1]	Stein,M.,Loads and deformations of buckled rectangular plates,NASA TR R-40(1959).
[2]	Walker,A.C.,The post-buckling behavior of simply-supported square plates,Aero,Quart.,20(1969),203-222.
[3]	Supple,W.J.,Change of wave-form of plates in the post-buckling range,Int.J.Solids Structures,6(1970),1243-1258.
[4]	Stoebel,G.J.and W.H.Warner,Stability and secondary bifurcation for von Krmn plates,J.Elasticity,3(1973),185-202.
[5]	Dombourian,E.M.,C.V.Smith and R.L.Carlson,A perturbation solution to a plate postbuckling problem,Int.J.Non-Linear Mech.,11(1976),49-58.
[6]	Uemura,M.and O.Byon,Secondary buckling of a flat plate under uniaxial compression,Part 1:Theoretical analysis of simply supported flat plate,Int.J.Non-Linear Mech.,12(1977),355-370.
[7]	Nakamura,T.and K.Uetani,The secondary buckling and post-secondary-buckling behaviors of rectangular plates,Int.J.Mech.Sci.,21(1979),265-286.
[8]	Carnoy,E.G.and T.J.R.Hughes,Finite element analysis of the secondary buckling of a flat plate under uniaxial compression,Int.J.Non-Linear Mech.,18(1983),167-175.
[9]	张建武、范祖尧,简支矩形板后屈曲平衡路径的一个摄动解,上海交通大学学报,18,5(1984),101-112.
[10]	张建武、范祖尧,压缩简支矩形板二次屈曲和二次分枝点分析,应用力学,3,3(1986),1-23.