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工程中许多结构的振动参数识别问题可以简化地按实模态理论进行分析和测取,并得到良好的近似结果。因此探讨一种时域内的实模态参数的识别方法是有意义和必要的。本文利用了结构自由响应的等时采样值,从熟知的实模态理论下的自由振动响应的矩阵表达式出发,建立起一个包含结构全部模态信息的数据矩阵,并指出该矩阵的特征向量即是结构的主振型,利用其特征值可求得结构的固有频率和阻尼。而参与特征参数计算的矩阵阶数由传统的(?)TD方法中的2n阶降为n阶。
The vibration parameter identification of many structures in the project can be simplified and analyzed by real modal theory and get good approximation results. Therefore, it is significant and necessary to explore a real-time identification method of real modal parameters. In this paper, we use the isochronous sampling value of the free-response structure. Based on the matrix expression of the free-vibration response under the well-known real modal theory, we construct a data matrix that contains all modal information of the structure and point out the eigenvectors That is the main vibration mode of the structure, the eigenvalue of the structure can be used to calculate the natural frequency and damping of the structure. The order of the matrices involved in the calculation of characteristic parameters is reduced from 2n to n-order in the traditional (?) TD method.