[1] Thomson J M T, Hunt G W. A General Theory of Elastic Stability[M]. New York: John Wiley,1973. [2] Hunt G W. Imperfection sensitivity of semi-symmetric branching[J]. Proc Royal Soc London, Ser A,1977,357(2):193~211. [3] Koiter W T. On the stability of elastic equilibrium[D]. Ph D dissertation. English translation, Delft Holland: NASA Technical translation, 1967,F10:833. [4] Niwa Y, Watanabe E, Nakagawa N. Catastrophe and imperfection sensitivity of two-degree-of freedom systems[J].Proc Japan Soc Civil Engineers,1981,307(1):99~111. [5] Kirkpatrick S W, Holmen B S. Effects of initial imperfections on dynamic buckling of shells[J].J Engrg Mech Div,1988,115(5):1025~1093. [6] Elishakoff I. Stochastic simulation of an initial imperfection data bank for isotropic shell with general inperfections[A]. In: I Elishakoff et al eds. Buckling of Structures[C]. Amsterdam: Elsevier,1988,195~209. [7] Lindberg H E. Random imperfections for dynamic pulse buckling[J].J Engrg Mech Div,1988,114(6):1144~1165. [8] Murota K, Ikada K. Critical initial imperfection of structures[J].Int J Solid Struct,1990,26(8):865~886. [9] Murota K, Ikada K. Critical imperfection of symmetric structures[J]. SIAM Appl Math,1991,51(5):1222~1254. [10] Golubitsky M, Schaeffer D G. Singularities and Groups in Bifurcation Theory[M].Vol.1,Berlin Heidelberg, New York, Tokyo:Springer-Verlag,1984. [11] Arnold V I. Singularity theory[J].London Math Soc Lecture Note Series,51,Berlin Herdelberg, New York, Tokyo: Springer-Verlag,1981. [12] Chow S N, Hale J K, Mallet-Paret J. Application of generic bifurcations[J].Arch Rat Mech Anal,1975,59(2):159~188. |