基于振动响应传递比函数的系统识别研究进展

与频响函数反映动力系统输入-输出的关系不同，振动响应传递比函数反映的是系统输出-输出之间的关系。振动响应传递比函数可以有效地避免对系统输入的测量，近年来成为系统识别领域重要的分析手段。该文对振动响应传递比函数进行了分类，揭示了传递比函数的特性，并着重阐明了传递比函数与频响函数之间的内在联系。以此为基础，综述了局部传递比（local transmissibility）和传递比矩阵（transmissibility matrix）在结构模态参数识别、损伤识别和模型修正应用中的研究进展。最后，该文指出了基于传递比函数的系统识别存在的问题，并对将来的研究思路作出了展望。

RECENT ADVANCES IN SYSTEM IDENTIFICATION USING THE TRANSMISSIBILITY FUNCTION

Different from a frequency response function which reflects the input-output relationship of a dynamic system, the transmissibility function represents the output-output relationship of a dynamic system. Not needing the measurement of the system input, the transmissibility function has been viewed as a good candidate for system identification. In this study, the classification of transmissibility function and the relationship between transmissibility function and frequency response function were elucidated. Based on the classification, the applications of the local transmissibility and the transmissibility matrix in modal parameter identification, damage identification and model updating, were systematically summarized. Finally, the underlying issues and research prospects of transmissibility analysis were highlighted.