柔度曲率法对梁结构的损伤诊断

针对各种支承形式梁结构的损伤诊断,采用结构柔度矩阵最大列元素的柔度曲率(M_(FC))对悬臂梁进行损伤定位,采用损伤结构柔度矩阵主对角元素的柔度曲率(D_(FC))对非悬臂梁进行损伤定位,算例表明,针对不同形式的梁构造不同柔度曲率指标,仅用损伤结构少数低阶的模态参数,就可以对非悬臂和悬臂梁结构进行损伤定位识别,本文方法求得的柔度曲率曲线既能识别单个损伤的存在,也能识别多个损伤的位置,并能定性地反映损伤程度。

Damage Diagnosis of Beam Structures by Flexibility Curvature Method

To locate structural damages for differently supported beams,one method of flexibility curvature M_(FC) was constructed by the maximum in each column of flexibility matrix for cantilever beams.The other method of flexibility curvature D_(FC) was constructed from principal diagonal elements of flexibility matrix as a new indicator for non-cantilever beams.The numerical simulation sups indicate that the damage location in structures can be identified without baseline modal parameters by D_(FC) for non-cantilever beams and M_(FC) for cantilever beams,by which not only simple damage but also multiple ones can be detected and degree of structural damage can also be derived by using only a few of the lower frequency modes.