The Perturbation Solution of the Large Elastic Curve of Buckled Bars and the Singular Perturbation Method for Its Imperfect Bifurcation Problem

Zhou Zhe-wei

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(4): 337-345

Zhou Zhe-wei. The Perturbation Solution of the Large Elastic Curve of Buckled Bars and the Singular Perturbation Method for Its Imperfect Bifurcation Problem[J]. Applied Mathematics and Mechanics, 1987, 8(4): 337-345.

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The Perturbation Solution of the Large Elastic Curve of Buckled Bars and the Singular Perturbation Method for Its Imperfect Bifurcation Problem

Zhou Zhe-wei

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

Received Date: 1985-10-18
Publish Date: 1987-04-15

Abstract

Abstract

This paper presents the large deflection elastic curve of buckled bars through perturbation method, and the bifurcation diagrams including the influence of the imperfection at the base by using singular perturbation method of imperfect bifurcation theory. The physical meaning of the bifurcation diagrams is discussed.

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References(3)

References

[1]	铁木辛柯,《弹性稳定理论》,第二版,科学出版社(1965).
[2]	Matkowsky,B.J.and E.L.Reiss,Singular perturbations of bifurcations,SIAM T,Appl,Math.,33,2(1977).
[3]	Iooss,Grard and D,D,Joseph,Elementary Stability and Bifurcation Theory,Springer-Verlag(1980).