最適化シンポジウム講演論文集
Online ISSN : 2424-3019
セッションID: 120
会議情報
固有値解析による微小き裂の探索/同定のための数学理論とその応用 : き裂探索の数学理論および,き裂要素の構築
浅野 直輝山本 茂樹
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会議録・要旨集 フリー

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抄録
The purpose of this paper is to specify the positions and the sizes of cracks by a percussive sound. At first, a cracked element in FEM analysis is developed for both a surface crack and an internal crack for obtaining monotone decreasing eigenvalues for all degrees. Next, a converse theorem of Weyl's monotony theorem is constructed in order to inspect the accuracy of the crack elements. A method for searching and identifying various cracks is developed based on an efficient exhaustive search method composed of the hierarchical algorithm using the evaluation function. Finally, the validity of this method is verified from several calculation examples.
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© 2004 一般社団法人 日本機械学会
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