Abstract:

To exist inaccurate damage location for current flexibilitybased method for damage localization，a new damage index based on the orthogonal relation between stiffness matrix and flexibility matrix is presented combining with the matrix perturbation method and the finite element method. It can obtain accurate damage location using several order modal parameters. The effectiveness and superiority of this approach is verified by a numerical simulation for the plane truss，and it will be possibly used on damage localization for complex structures.

Key words: vibration and wave, structural damage localization, flexibility, stiffness matrix, perturbation method, truss structure

摘要：

针对现有基于柔度变化的损伤定位方法在理论上仍存在错误定位的可能，从结构刚度矩阵与柔度矩阵的正交性出发，结合矩阵摄动理论及有限元理论，提出一种新的基于柔度变化的结构损伤指标，此方法仅需要结构的前几阶模态参数即可实现准确的损伤定位。通过一平面桁架结构的数值模拟证明该方法的有效性、优越性，该方法有望用于复杂结构的损伤定位分析中。

关键词: 振动与波, 结构损伤定位, 柔度, 刚度矩阵, 摄动理论, 桁架结构