Development of a New Branch-Switching Algorithm in Nonlinear FEM using Scaled Corrector

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概要

• 論文の詳細を見る

• A new algorithm for branch-switching at bifurcation points in the nonlinear finite element method is developed. The procedure is simple and neither eigenvalue analysis nor an alternative cpu-extensive task is necessary for the calculation of buckling modes at bifurcation points. The basic concept is that a displacement corrector vector in the Newton-Raphson iteration can be used in place of an eigenvalue mode which is usually used for branch-switching, due to the high similarity of the governing equations at bifurcation points. Two numerical examples, buckling of a square plate under compressive loading and 'diamond buckling' of a cylinder, are conducted to demonstrate the validity of the algorithm.

• 一般社団法人日本機械学会の論文
• 1994-07-15

著者

• NOGUCHI Hirohisa

  Department of System Design Engineering, Keio University

• Noguchi Hirohisa

  Department Of Mechanical Engineering Keio University

• Noguchi Hirohisa

  Department Of Mechanical Engineering Keio Univ.

• HISADA Toshiaki

  Research Center for AdvanCed Science and Technology, University of Tokyo

• Hisada Toshiaki

  Research Center For Advanced Science And Technology University Of Tokyo

• Noguchi Hirohisa

  Department of Mechanical Engineering, Keio University

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