ABSTRACT Structural damage detection is a key part of structural health monitoring. The generalized flexibility matrix approach is an effective method for damage detection. Compared with the flexibility matrix approach, it requires less number of natural frequencies and corresponding mode shapes. In this paper, the approach is improved by considering the nonnegativity of the damage extent. The error bound of two solutions calculated by the improved approach using natural frequencies and corresponding mode shapes without and with noises is derived. Numerical examples with different damage scenarios show that compared with the original generalized flexibility matrix approach, our proposed method works better.

中文翻译：

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一种用于结构损伤检测的改进广义柔度矩阵方法

摘要 结构损伤检测是结构健康监测的关键部分。广义柔度矩阵方法是一种有效的损伤检测方法。与柔度矩阵方法相比，它需要较少的固有频率和相应的模态振型。本文通过考虑损伤程度的非负性对该方法进行了改进。推导出使用自然频率和相应的无噪声和有噪声的模态振型的改进方法计算的两个解的误差界。不同损伤场景的数值例子表明，与原始广义柔度矩阵方法相比，我们提出的方法效果更好。