Abstract

When a crack exists in a structural member, it leads to changes in natural frequencies. Therefore, cracks in structures can be detected by measuring the natural frequencies. In this paper a method for identification of a crack in a in-plane vibration plate is presented using both a genetic algorithm (GA) and FEM. The FEM program is developed to calculate the natural frequencies of the cracked plates based on the 8-node quadrilateral model. In the analysis, two types of cracks, i.e., internal and edge crack are considered. To identify the crack location and the size from frequency measurements, the size and the position of the crack in a plate are coded into fixed-length binary digit string. By using GA, the square sum of residuals between the measured data and the dynamic response is minimized in the identification process and thus the crack is identified. The availability of the proposed method is confirmed by results of numerical simulation.

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