摘要：在多點耦合系統的振動分析中經常需要測量與耦合點有關的頻響函數。由于耦合點的不易測量的性質，此類頻響函數的測量工作往往十分棘手。針對此類問題，進行了詳細的分析和探讨，提出了完整的關于耦合點有關的頻響函數測量的策略。依據激勵點和響應點是否是耦合點将耦合點有關的頻響函數分成3種類型：(I)響應點是耦合點；(II)激勵點是耦合點；(III)響應點和激勵點都是耦合點。首先提出了第I類和第II類頻響函數的測試策略，然後基于機械系統中的諾頓定理将第III類頻響函數表示成第I類和第II類頻響函數。數值模型和實驗均驗證了所提出的方法的正确性。
Abstract: Frequency response functions (FRFs) related to the coupling points usually need to be measured in the vibration analysis of multi-point coupled systems. Because of the inaccessible property of coupling points, the measurement of this kind of FRF is often very difficult. Aiming at this kind of problem, detailed analysis and discussion are made in this paper. A complete strategy for measuring the FRFs related to coupling points is proposed. According to whether the excitation point and the response point are coupling points, the FRFs related to coupling points can be divided into three types: (I) The response point belongs to the coupling points. (II) The excitation point belongs to the coupling points. (III) Both the response point and the excitation point belong to the coupled points. First, the testing strategies of Class I FRFs and Class II FRFs are proposed. Then, according to the Norton Theorem in mechanical systems, it is proved that the Class III FRFs can be expressed as Class I and Class II FRFs. The correctness of the proposed method is verified by a numerical model and an experiment.