He Lu-wu, Cheng Chang-jun. The Buckled States of Rectangular Plates[J]. Applied Mathematics and Mechanics, 1992, 13(5): 401-406.
 Citation: He Lu-wu, Cheng Chang-jun. The Buckled States of Rectangular Plates[J]. Applied Mathematics and Mechanics, 1992, 13(5): 401-406.

# The Buckled States of Rectangular Plates

• Publish Date: 1992-05-15
• In this paper, based on the generalized variational principle of plates, the buckled states of rectangular plates under uniaxial compression are studied by use of the finite element method and the numerical analysis results under various boundary conditions are obtained by using the continuation calculation method.
•  [1] Berger,M.S.,On von Káirmán's equations and the buckling of a thin plate I: The clamped plate,Comm.Pure Appl.Math.,20,4 (1967),687-719. [2] Berger,M.S.and P.C.File,On yon Káirmán's equations and the buckling of a thin plates,Ⅱ:Plate with general edge condition,Comm.Pure Appl.Math.,21,3 (1968),227-241. [3] Yang Xiao,Cheng Chang-jun,Variational principles,perforated thin plates and finite element method on buckling and post-buckling analysis,Acta Mechanica Sinica,7,2 (1991),1-10. [4] 张建武、范祖尧,简支矩形板后屈曲平衡路径的-个摄动解,上海交通大学学报,18(5)(1984),101-111. [5] Bauer,L.and E.L,Reiss,Nonlinear buckling of rectangular plates,SIAM.J.Appl.Math.,13,3 (1965),603-626. [6] 吕小安,开孔柱壳的非线性理论与稳定性问题,兰州大学博士学位论文(1990). [7] 何录武,夹层板的屈曲和分支兰州大学博士学位论文(1990). [8] 朱正佑、程昌钧,关于开孔薄板大挠度问题的-般数学理论,力学学报,18(2)(1986),123-135. [9] 朱正佑、程昌钧,嵘分支问题的数值计算方法》,兰州大学出版社(1989).

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142