Probabilistic analysis of buckling loads of structures via extended Koiter law |
Ikeda, Kiyohiro
(Department of Civil & Environmental Engineering, Tohoku University)
Ohsaki, Makoto (Department of Architecture & Architectural Engineering, Kyoto University) Sudo, Kentaro (Department of Civil & Environmental Engineering, Tohoku University) Kitada, Toshiyuki (Department of Civil Engineering, Osaka City University) |
1 | Astill, J., Nosseir, C.J. and Shinozuka, M. (1972), "Impact loading on structures with random properties", J. Struct. Mech., 1(1), 63-67 ScienceOn |
2 | Bolotin, V.V. (1958), "Statistical methods in the nonlinear theory of elastic shells", Izvestija Academii Nauk SSSR, Otdeleni Tekhnicheskikh Nauk 3 (English translation: NASA, TTF-85, 1-16, 1960) |
3 | Bucher, C.G. and Bourgund, U. (1990), "A fast and efficient response surface approach for structural reliability problems", Struct. Safety, 7(1), 57-66 DOI ScienceOn |
4 | Chryssanthopoulos, M.K. (1998), "Probabilistic buckling analysis of plates and shells", Thin Wall. Struct., 30(1-4), 135-157 DOI ScienceOn |
5 | Edlund, B.L.O. and Leopoldson, U.L.C. (1975), "Computer simulation of the scatter in steel member strength", Comput. Struct., 5(4), 209-224 DOI ScienceOn |
6 | Elishakoff, I. (1978), "Impact buckling of thin bar via Monte Carlo method", J. Appl. Mech., ASME, 45(3), 586-590 DOI ScienceOn |
7 | Faravelli, L. (1989), "Response surface approach for reliability analysis", J. Eng. Mech. Div., ASCE, 115(2), 2763-2781 DOI |
8 | Ikeda, K. and Fujisawa, T. (2006), "Generalized imperfection sensitivity law for structures with bilateral symmetry", J. Struct. Mech. Earthq. Eng., JSCE A, 62(1), 153-160 |
9 | Ikeda, K. and Murota, K. (1993), "Statistics of normally distributed initial imperfections", Int. J. Solids Struct. 30(18), 2445-2467 DOI ScienceOn |
10 | Ikeda, K. and Murota, K. (2002), Imperfect Bifurcation in Structures and Materials - Engineering use of Group-theoretic Bifurcation Theory, Springer, New York NY |
11 | Ikeda, K. and Ohsaki, M. (2007), "Generalized sensitivity and probabilistic analysis of buckling loads of structures", Int. J. Non-Linear Mech., 42(6), 733-743 DOI ScienceOn |
12 | Koiter, W.T. (1945), On the Stability of Elastic Equilibrium, Dissertation, Delft Univ. of Tech., Holland (English Trans.: NASA Tech. Trans. F10:833, 1967) |
13 | Nakagiri, S. and Hisada, T. (1980), "A note on stochastic finite element method, part 1: Variation of stress and strain caused by shape fluctuation", Monthly J. Inst. Industrial Sci., University of Tokyo, Tokyo, 32, 39-42 |
14 | Ohsaki, M. (2002), "Maximum loads of imperfect systems corresponding to stable bifurcation", Int. J. Solids Struct. 39, 927-941 DOI ScienceOn |
15 | Thompson, J.M.T. (1967), "Towards a general statistical theory of imperfection-sensitivity in elastic postbuckling", J. Mech. Phys. Solids, 15(6), 413-417 DOI ScienceOn |
16 | Ohsaki, M. and Ikeda, K. (2007), Stability and Optimization of Structures - Generalized Sensitivity Analysis Springer, New York NY |