中文摘要：

研究一种用于工程结构损伤识别的方法。从损伤结构的残余力方程出发，引入结构刚度矩阵的分解表达式，得出一种判断结构损伤位置和求解结构损伤程度的计算方法。分析所提方法优于最小范数方法和最小秩方法的几个特点。最后用一个10层的剪切结构模型对所提方法进行验证，并将计算结果与最小范数解及最小秩解进行比较。

英文摘要：

A vibration-based method is proposed in this study to detect structural damage. Using the matrix disassembly technique, a damage localization vector is defined to locate the suspected damaged elements preliminarily. Then a simple damage quantification technique is developed to estimate the size of defects. A 10-story shear building structure is used as a numerical example to validate the proposed method. Results obtained by the proposed technique, the minimum-norm method and the minimum-rank method are all given to show the advantages of the presented scheme. The shortcomings of the minimum-norm method and the minimum-rank method are also discussed. It has been shown that the proposed method may be useful for structural damage identification.