结构损伤识别的残余向量法及数值仿真

Residual vector norm method and numerical simulation of structural damage identification

为了找到对小损伤较敏感的参数,在结构自由振动微分方程基础上,利用广义逆和矩阵投影定理,导出了识别效果很好的残余向量投影范数.确定了损伤单元,计算了该损伤单元的损伤因子.算例分析发现,该参数对结构损伤非常敏感,能识别出结构中的微小损伤,而且不受损伤位置的约束,仅需要结构的前几阶模态就能达到很好的效果.

In order to find out parameters with high precision for small damage, based on differential equation of free vibration, the residual vector projected norm with good identification effect was deduced using general inverse and matrix projected theorems. The damaged element and the damage factor were easily obtained. The analysis of a computational The minuteness damage in example structure shows the sensitivity of this method to identify the damage in structure. can be identified and good effects can be obtained in the first few modes.