固有値問題の摂動展開による釣合経路上の臨界点予測手法

概要

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The exact prediction of critical points on the equilibrium path is desired in the numerical analysis of critical behavior of a structure. A new strategy for predicting the critical point is proposed here by applying the incremental perturbation method to eigenvalue problem. The variations in eigenvalues are evaluated by solving the ordered perturbation equations successively. The perturbation equations can be solved by applying the generalized inverse. The solution of algebraic equation, which sets the each eigenvalue to zero with respect to incremental parameter, gives the step length to the critical point. Two typical examples for critical behavior show that the strategy proposed here can predict the critical point of structure model with high accuracy.
社団法人日本建築学会の論文
1999-08-30