The Influence of Imperfections Upon the Critical Load of Structures

Zhu Zhengyou; Cong Yuhao

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(10): 1033-1039

Zhu Zhengyou, Cong Yuhao. The Influence of Imperfections Upon the Critical Load of Structures[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1033-1039.

Citation:

Zhu Zhengyou, Cong Yuhao. The Influence of Imperfections Upon the Critical Load of Structures[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1033-1039.

Citation:

Zhu Zhengyou, Cong Yuhao. The Influence of Imperfections Upon the Critical Load of Structures[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1033-1039.

PDF( 283 KB)

The Influence of Imperfections Upon the Critical Load of Structures

Zhu Zhengyou¹,
Cong Yuhao²

1.
Shanghai Institute of Applied Mathematics and Mechanics;Department of Mathematics, Shanghai University, Shanghai 200072, P R China;
2.
College of Mathematical Sciences, Shanghai Normal University, Shanghai 200234, P R China

Received Date: 1998-10-07
Rev Recd Date: 1999-04-20
Publish Date: 1999-10-15

Abstract

Abstract

By means of the theory of universal unfolding, the influence of multi-imperfections upon the critical load of structure in engineering is analysed in this paper. For the pitchfork problem, a lower bound of increments of the critical loads caused by imperfections of the structures is given. A simple and available numerical method for computing the lower bound is described.
- imperfections,
- critical load,
- pitchfork,
- universal unfolding

FullText(HTML)

References(12)

References

[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.