基于灵敏度分析的结构损伤识别中的传感器优化配置

本文提出了结构损伤识别中的传感器测点优化配置的方法。该方法是通过仅考虑结构刚度变化的结构特征灵敏度分析，以结构各自由度的损伤信息为条件，计算出结构的Fisher信息阵，并且考虑到Fisher信息阵的逆阵可能不存在，而将Fisher信息阵对应于每个自由度进行分解，通过计算每个分解的Fisher信息阵的迹而确定每个自由度含有的损伤信息的多少，从而从结构的全部自由度中去掉那些含损伤信息少的自由度。建立直接利用结构不完整的实测模态来定位结构的损伤，避免结构模态扩阶带来不必要的误差。最后，通过数值算例表明，该方法能有效地识别出结构的损伤。

Optimum sensor placement for structural damage detection based on sensitivity study

A method of optimizing sensor locations for damage identification in a structure using the collected information is presented in this paper. It is based on sensitivity study of mode shapes about structural stiffness changes. In terms of the contribution of degree-of-freedom, Fisher information matrix can be decomposed corresponding to each degree-of-freedom. Each degree-of-freedom is added to or subtracted from the sensor candidate set by calculated trace of every decomposed Fisher information matrix. And the incomplete modes yielded from these optimized sensor locations are used to localize structural damage. Numerical example shows that this approach is effective for detecting structural damage directly by using optimum and incomplete test modes.