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A new surface fractal dimension for displacement mode shape-based damage identification of plate-type structures

机译：基于位移模式形状的板形结构损伤识别的新表面分形维数

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摘要

Vibration-based nondestructive testing is an area of growing interest and worthy of exploring new and innovative approaches. The displacement mode shape is often chosen to identify damage due to its local detailed characteristic and less sensitivity to surrounding noise. Requirement for baseline mode shape in most vibration-based damage identification limits application of such a strategy. In this study, a new surface fractal dimension called edge perimeter dimension (EPD) is formulated, from which an EPD-based window dimension locus (EPD-WDL) algorithm for irregularity or damage identification of plate-type structures is established. An analytical notch-type damage model of simply-supported plates is proposed to evaluate notch effect on plate vibration performance; while a sub-domain of notch cases with less effect is selected to investigate robustness of the proposed damage identification algorithm. Then, fundamental aspects of EPD-WDL algorithm in term of notch localization, notch quantification, and noise immunity are assessed. A mathematical solution called isomorphism is implemented to remove false peaks caused by inflexions of mode shapes when applying the EPD-WDL algorithm to higher mode shapes. The effectiveness and practicability of the EPD-WDL algorithm are demonstrated by an experimental procedure on damage identification of an artificially-induced notched aluminum cantilever plate using a measurement system of piezoelectric lead-zirconate (PZT) actuator and scanning laser Doppler vibrometer (SLDV). As demonstrated in both the analytical and experimental evaluations, the new surface fractal dimension technique developed is capable of effectively identifying damage in plate-type structures.
机译：基于振动的无损检测是人们越来越感兴趣的领域，值得探索新的创新方法。通常选择位移模式形状来识别损坏，这是由于其局部详细特征以及对周围噪声的敏感性较低。在大多数基于振动的损伤识别中，对基线模式形状的要求限制了这种策略的应用。在这项研究中，制定了一种新的表面分形维数，称为边缘周长维（EPD），从中建立了基于EPD的窗口维数轨迹（EPD-WDL）算法，用于对板状结构的不规则性或损伤进行识别。为了评估缺口对板振动性能的影响，提出了一种简支缺口板的解析缺口型损伤模型。同时选择陷波情况影响较小的子域来研究所提出的损伤识别算法的鲁棒性。然后，评估了EPD-WDL算法在陷波定位，陷波量化和抗噪性方面的基本方面。当将EPD-WDL算法应用于更高的模式形状时，可以实现一种称为同构的数学解决方案，以消除由模式形状的弯曲引起的假峰值。 EPD-WDL算法的有效性和实用性通过使用压电锆钛酸铅（PZT）执行器和扫描激光多普勒振动计（SLDV）的测量系统对人为造成缺口的铝悬臂板进行损伤识别的实验程序证明。正如分析和实验评估所证明的那样，新开发的表面分形维技术能够有效识别板状结构中的损伤。

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