[1] J. M.T. Thompson and G. W. Hunt, Dangers of structural optimization, Engineering Optimization, 1(1974), 99-110.
[2] S. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill, New York(1959).
[3] J. M. Coan. The influence of curvature on the buckling of structures. J. Appl. Mech.. 18 (1951),143.
[4] K.Marguerre, Zur thcurie gckrummten plane grosser formanderung, Proc. 5th Intl.Cong. Appl., Mech.. John Wiley & Sons Inc., New York(1938). 93-101.
[5] Chin Chuenyuan, Nonlinear Analysis of Plates, McGraw-Hill. New York(1980), 93-107.
[6] Xu Kaiyu, Buckling of a rectangular plate with small initial deflection, ICNM-II Proc. ed. by Chien Weizang. Peking University Press, Beijing(1992)630-632.
[7] T. Poston and 1. Stewart. Catastrophe Theory and Its Applications, Pitman, London (1978).
[8] Z. Gaspar, Critical imperfection theroy. J. Strut., Mech., 11(1983). 297-325.
[9] M.Golubitsky and D. Schaeffer,A theroy for imperfect bifurcation via singularity theory, Conun. Pure Appl., Math., 32(1979), 21-98.
[10] M.Berger, On von Karman equations and the buckling of a thin elastic plate L, The clamped plate, Comm. Pure Appl. Mech. 20(1967),687-719.
[11] Cheng Changjun and Zhu Zhengyou, Bucking and Bifurcation of Structures, Lanzhou University Press(1991).(in Chinese)
[12] Zhang Gongqing and Lin Yuanqu, Functional Analysis, Pekjing University Press, Beijing (1987). (in Chinese)
[13] Chen Yushu and Tang Yun, Methods of Modern Analysis in Nonlinear Dynamics, Science Press, Beijing(1992 ). 88-116. (in Chinese) |