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Finite Element-Based Damage Detection Using Expanded Ritz Vector Residuals

机译：基于有限的基于元素的损伤检测使用扩展RITZ矢量残差

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The incomplete measurement problem poses a significant obstacle for both model correlation and structural health monitoring (SHM). In practice, information about the health of a structure must be ascertained using measurement data from only a limited number of sensors. Several approaches to this problem have been proposed. One approach involves a reduced order model, such as that obtained using methods such as the Guyan reduction, the Improved Reduced System Model, or the System Equivalent Reduction Process. A second approach, which this work considers, involves an expansion of the test data to match a higher-fidelity model. This work presents a damage detection method utilizing Ritz vectors and the Method of Expanded Dynamic Residuals (MEDR). Ritz vectors have several advantages over eigenvectors for application to damage detection, including lower sensitivity to noise, and, as a result of their load-dependent nature, a greater sensitivity to localized damage. The MEDR restricts identified damage locations to those where there is physical connectivity, which eliminates the "smearing" that plagues direct expansion methods, and provides a physically meaningful estimate of the damage location. LA-UR-12-25460.
机译：不完全的测量问题对模型相关性和结构健康监测（SHM）构成了显着的障碍。在实践中，必须使用来自数量有限的传感器来确定有关结构健康的信息。提出了几种对此问题的方法。一种方法涉及减少的订单模型，例如使用诸如Guyan减少的方法，改进的减少的系统模型或系统等效减少过程。这项工作考虑的第二种方法涉及匹配更高保真模型的测试数据的扩展。该工作提出了利用Ritz载体的损伤检测方法和扩展动态残差（MEDR）。 RITZ载体对特征向量具有几个优点，用于施加损坏检测，包括降低对噪声的敏感性，并且由于其负载依赖性的性质，对局部损坏的敏感性更大。 Medr限制将损坏位置识别为存在物理连接的损伤位置，这消除了困扰直接扩展方法的“涂抹”，并提供了对损坏位置的物理有意义的估计。 LA-UR-12-25460。

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