基于加权联合灵敏度方法的损伤识别研究

本文在频率与振型联合灵敏度的基础上,进一步提出加权联合灵敏度,对计算联合灵敏度的过程中的特征值矩阵部分进行加权处理再计算灵敏度,再通过岭估计对灵敏度计算结果进行修正,从而对结构是否损伤和损伤程度进行识别,并通过算例对该方法进行验证。新的加权联合灵敏度方法在有误差影响下可以准确地识别结构损伤位置,损伤程度的计算误差也较小。

On the basis of mixed sensitivity of frequency and mode shapes,the weighted mixed sensitivity is further proposed in this paper.The eigenvalue matrix in the process of calculating mixed sensitivity is weighted and then the sensitivity is calculated.Then the sensitivity calculation results are modified by ridge estimation to identify whether the structure is damaged or not and the degree of damage.An example is given to illustrate the method.The new weighted joint sensitivity method can accurately identify the location of structural damage under the influence of errors,and the calculation error of damage degree is also small.