摘要：在多点耦合系统的振动分析中经常需要测量与耦合点有关的频响函数。由于耦合点的不易测量的性质，此类频响函数的测量工作往往十分棘手。针对此类问题，进行了详细的分析和探讨，提出了完整的关于耦合点有关的频响函数测量的策略。依据激励点和响应点是否是耦合点将耦合点有关的频响函数分成3种类型：(I)响应点是耦合点；(II)激励点是耦合点；(III)响应点和激励点都是耦合点。首先提出了第I类和第II类频响函数的测试策略，然后基于机械系统中的诺顿定理将第III类频响函数表示成第I类和第II类频响函数。数值模型和实验均验证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.