利用多分辨率分析法进行圆拱结构裂纹定位

小波分析可以同时在时域和频域取得最佳分辨率,这使得小波理论成为处理非平稳信号的有利工具。将小波理论引入到分析损伤结构的特征信号有利于准确地评价结构健康状况。本文将利用小波多分辨率分析对单、双位置的拱结构损伤进行定位研究。数值算例表明:利用sym4小波通过对多分辨率分析的高频成份进行单支重构,其重构系数的突变可以指示出裂纹位置。此外,对多位置的损伤识别,小波多分辨率分析依然有效。

Crack Detection of a Circular Arch Using Multi-resolution Analysis

Wavelet theory has become the main tool in non-state signal processing for the reason that the character of the signal is described both in the time/spatial and frequency domain simultaneous. The signal of damage struc- ture, non-state signal, implicates bountiful information of the structure from which we can evaluate the status of the structure in services through wavelet analysis. In this paper, the wavelet Multi-Resolution Analysis （MRA） is ap- plied to the spatial-frequency analysis of the first mode of the damage circular arch in order to locate the damage. The simulation results illustrate that the position of the crack is located by the sudden change in the reconstruction coefficients of the high frequency component using sym4 wavelet MRA. And this method is still available for multi locations damage identification.