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Damage identification in rectangular plates using spectral strain energy distribution

机译：利用谱应变能分布识别矩形板中的损伤

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In this paper, a vibration-based damage detection method designed for thin plates is proposed. The method bases on the relation existing between the strain energy stored in the plate in several vibration modes and the respective natural frequencies. For any mode, the strain energy results as sum of the energies stored in all plate elements in that mode. It depends on the square of the mode shape curvature achieved in each element location for the given vibration mode. As a result, the energy distribution along the plate is different for each mode. By reducing the rigidity of one plate element due to a damage, the frequencies will drop in a different manner, depending on the damaged element location. This permits to define patterns that characterize the dynamic behavior of the plated for any damage location. Actually, the patterns are derived from the normalized frequency shifts attained by numerical simulations. Herein the patterns that characterize a centrally located damage of different extent are consequently derived by means of the finite element analysis and used as a benchmark in the damage detection process. These patterns are successfully used to recognize, localize and quantify damages from measurements on in real plates.
机译：本文提出了一种基于振动的薄板损伤检测方法。该方法基于在几种振动模式下存储在板中的应变能与相应的固有频率之间存在的关系。对于任何模式，应变能都是该模式下所有板元件中存储的能量之和。对于在给定的振动模式下，它取决于在每个单元位置获得的模式形状曲率的平方。结果，沿着板的能量分布对于每种模式是不同的。由于损坏而降低了一个板状元件的刚度，根据损坏的元件位置，频率将以不同的方式下降。这允许定义表征镀层在任何损坏位置的动态行为的特征的图案。实际上，这些模式是通过数值模拟获得的归一化频移得出的。因此，通过有限元分析得出表征不同程度的中心损坏的特征的模式，并在损坏检测过程中将其用作基准。这些图案已成功用于识别，定位和量化实际板上的测量所造成的损坏。

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