414 固有値解析によるはり構造のき裂同定のための評価関数の検討(オーガナイズドセッション : 計算力学と構造最適化)

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This paper presents a method for detecting and identifying very small cracks using finite element method. The eigenvalue properties are investigated on the stiffness matrix inspecting the cracks. When applying Weyl's theorem to this eigenvalue problem, the all Nth-eigenvalues are monotonously decreased, according to the increase in the depth of the crack. But the first eigenvalues fluctuate in this numerical solution. Therefore, behavior of the first ones doesn't agree with the theoretical result of Weyl's theorem. Hence, several numerical eigenvalues except for the first ones are available for detecting the cracks. The validity of this method is confirmed from the identification of the cracks of more than 3% crack-depth-rate on beam structures.
2000-09-08