Perturbation Formulation of Continuation Method Including Limit and Bifurcation Points

Wu Yi; Ren Wen-min; Zhang Wei

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(9): 785-794

Wu Yi, Ren Wen-min, Zhang Wei. Perturbation Formulation of Continuation Method Including Limit and Bifurcation Points[J]. Applied Mathematics and Mechanics, 1992, 13(9): 785-794.

Citation:

Wu Yi, Ren Wen-min, Zhang Wei. Perturbation Formulation of Continuation Method Including Limit and Bifurcation Points[J]. Applied Mathematics and Mechanics, 1992, 13(9): 785-794.

Citation:

Wu Yi, Ren Wen-min, Zhang Wei. Perturbation Formulation of Continuation Method Including Limit and Bifurcation Points[J]. Applied Mathematics and Mechanics, 1992, 13(9): 785-794.

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Perturbation Formulation of Continuation Method Including Limit and Bifurcation Points

1.
Peking Institute of Nuclear Engineering, Beijing;
2.
Qinghua University, Beijing

Received Date: 1990-07-06
Publish Date: 1992-09-15

Abstract

Abstract

This paper gives the perturbation formulation of continuation method for nonlinear equations. Emphasis is laid on the discussion of searching for the singular points on the equilibrium path and of tracing the paths over the limit or bifurcation points. The method is applied to buckling analysis of thin shells. The pre-and post-buckling equilibrium paths and deflections can be obtained, which are illustrated in examples of buckling analysis of cylindrical and toroidal shells.
- continuation method,
- perturbation,
- limit point,
- bifurcation point,
- thin shell buckling

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References(10)

References

[1]	Keller,H.,Lecture on Nonlinear Method in Bifurcation Problems(1987).
[2]	高尔腊伊,A,and G.瓦特桑,矩阵特征值问题的计算方法(1980).
[3]	吴怡,清华大学博士论文,清华大学工程力学系(1989).
[4]	李庆杨、白峰杉,清华大学科学报告87-011,清华大学应用数学系(1987).
[5]	Sanders,J.,Quart.Appl.Math.,21(1963),21.
[6]	Yamaki,N.,Elastic Stability of Circular Cylindrical Shells(1984).
[7]	Pakagiotopoulos,G.,Int.J.Pres.Ves.and Piping,20(1985),87.
[8]	Sobel,L.and W.Flugge,J.AIAA,5(1967),425.
[9]	Bushnell,D.,J.AIAA,5(1967),1455.
[10]	Jordan,P.,J.AIAA,11(1973),1439.