Crack Identification of Curved Beam Using Frequency Change

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  • 固有振動数の変化に基づくき裂を有する曲がりはりのき裂同定
  • コユウ シンドウスウ ノ ヘンカ ニ モトヅク キレツ オ ユウスル マガリハリ ノ キレツ ドウテイ

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Abstract

In this paper a crack identification method for curved beams is presented using both genetic algorithm (GA) and FEM. The crack is simulated by an equivalent rotational spring model. On the basis of this approximate model, the stiffness matrices of a cracked element are derived employing the curved beam theory. In order to calculate the natural frequencies of the curved beam, which are required to identify of the crack location and the depth from frequency measurements, FEM program including the cracked element is developed. The depth and the position of the crack in the curved beam are estimated by using these natural frequencies and GA. The proposed method is verified by numerical simulation of some sample problems.

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