Damage Detection in Double Layer Grids with Modal Strain Energy Method and Dempster-Shafer Theory

Hamed Teimouri, M. Davoodi, S. Mostafavian, L. Khanmohammadi
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Abstract

Change in modal strain energy is one of the indicators used to detect damage in structures. However, in structures with high degrees of freedom, such as double-layer grids, this method requires a relatively large number of mode shapes which in practice is difficult to determine. Therefore, it is necessary to reduce the number of required mode shapes. In this study, a damage detection technique based on modal strain energy and Dempster-Shafer evidence theory is presented for locating damage in double layer grids using only a few number of mode shapes. First, by calculating mode shapes of the grid in undamaged and damaged states, the modal strain energy based index for each mode shape is determined. Then, the results obtained from separate mode shapes are combined using Dempster-Shafer theory to achieve better results. In order to investigate the effect of noise on damage detection, 3% random noise is added to mode shapes. To demonstrate the performance of the proposed method, different single and multiple damage cases with different damage intensities are considered. Numerical results show that using 5 mode shapes, the presented technique can detect up to 3 damaged elements with different damage intensities in different parts of the grid with good accuracy (probability of 92.3%). Considering the fact that the classical modal strain energy method fails to distinguish even 1 damaged element in the double layer grid, the result shows significant improvement.
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基于模态应变能法和Dempster-Shafer理论的双层网格损伤检测
模态应变能的变化是检测结构损伤的指标之一。然而,在具有高自由度的结构中,如双层网格,这种方法需要相对大量的振型,而在实践中很难确定。因此,有必要减少所需的模式形状的数量。在本研究中,提出了一种基于模态应变能和Dempster-Shafer证据理论的损伤检测技术,用于仅使用少数模态形状定位双层网格中的损伤。首先,通过计算网格在未损坏和损坏状态下的振型,确定了每个振型的基于模态应变能的指标。然后,使用Dempster-Shafer理论将从单独的振型获得的结果进行组合,以获得更好的结果。为了研究噪声对损伤检测的影响,在振型中加入了3%的随机噪声。为了证明所提出的方法的性能,考虑了不同损伤强度的不同单损伤和多损伤情况。数值结果表明,使用5种振型,该方法可以很好地检测出网格不同部分中多达3个不同损伤强度的损伤单元,准确率为92.3%。考虑到经典模态应变能方法在双层网格中甚至无法区分1个损伤单元,结果有了显著的改进。
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来源期刊
CiteScore
1.30
自引率
60.00%
发文量
0
审稿时长
47 weeks
期刊最新文献
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