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Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (9): 815-824.

• 论文 • 上一篇    下一篇

PERTURBATION FORMULATION OF CONTINUATION METHOD INCLUDING LIMIT AND BIFURCATION POINTS

吴怡1, 任文敏2, 张维2   

  1. 1. Peking Institute of Nuclear Engineering, Beijing;
    2. Qinghua University, Beijing
  • 收稿日期:1995-07-06 出版日期:1992-09-18 发布日期:1992-09-18

PERTURBATION FORMULATION OF CONTINUATION METHOD INCLUDING LIMIT AND BIFURCATION POINTS

Wu Yi1, Ren Wen-min2, Zhang Wei2   

  1. 1. Peking Institute of Nuclear Engineering, Beijing;
    2. Qinghua University, Beijing
  • Received:1995-07-06 Online:1992-09-18 Published:1992-09-18

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摘要： 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.

关键词: continuation method, perturbation, limit point, bifurcation point, thin shell buckling

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.

Key words: continuation method, perturbation, limit point, bifurcation point, thin shell buckling

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