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首页> 外文期刊>Applied Mathematical Modelling >A novel and efficient method for damage detection in beam-like structures solely based on damaged structure data and using mode shape curvature estimation
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A novel and efficient method for damage detection in beam-like structures solely based on damaged structure data and using mode shape curvature estimation

机译：基于损坏的结构数据和使用模式形状曲率估计，仅基于梁状结构损坏的新颖有效方法。

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摘要

Dynamic-based methods for detecting the location of damage in structures are generally based on changes caused by damage in the dynamic properties of structures such as modal frequencies and mode shapes. Mode shape curvature damage detection method is one of these techniques in which the difference in mode shape curvatures between undamaged and damaged structures is used to identify the location of damage. In this paper, a new damage detection method for beam-like structures is presented in which obtaining data from the analytical model of the undamaged structure is not required. The proposed method introduces the difference between mode shape curvature and mode shape curvature estimation of damaged structure as an indicator of identifying the damage location. Mode shape curvature estimation is solely done by using the displacement mode shape of the damaged structure. Hence, in the proposed method there is no need for the undamaged structure data. The curvature estimation can be easily and quickly done using simple mathematical relations. The efficacy of the proposed method in detecting the location of damage is evaluated using the finite element model of various damaged beams with different boundary conditions as well as experimental validation. Moreover, the classical relations of mode shape curvature estimation are presented for the first mode of single-span uniform beams with minor damage. The results indicate that the introduced index in magnifying the location of damage is as capable and efficient as the classical mode shape curvature method.
机译：用于检测结构损坏位置的基于动态的方法通常基于由诸如模态频率和模式形状的结构的动态特性损坏引起的变化。模式形状曲率损伤检测方法是这些技术之一，其中使用不损坏的结构之间的模式形状曲率差异用于识别损坏的位置。本文提出了一种用于光束结构的新损伤检测方法，其中不需要从未损坏结构的分析模型获取数据。该方法介绍了损坏结构的模式形状曲率和模式曲率估计的差异，作为识别损坏位置的指标。模式形状曲率估计仅通过使用损坏结构的位移模式形状来完成。因此，在所提出的方法中，不需要未损坏的结构数据。可以使用简单的数学关系轻松快速地完成曲率估计。使用具有不同边界条件的各种损坏光束的有限元模型以及实验验证，评估所提出的方法在检测损坏位置的效果。此外，为单跨均匀光束的第一模式呈现了模式形状曲率估计的经典关系。结果表明，引入的指数放大损坏的位置与经典模式曲率法一样能力和有效。

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