Measurement of frequency response functions related to coupling points in multipoint coupled systems

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (22) : 76-81.

LIAO Xuhui1,2，LI Shunming2，DAI Xudong1，ZHAO Jingbo1

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Abstract

Frequency response functions (FRFs) related to 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, detailed analyses and discussions were made in the paper.A complete strategy for measuring the FRFs related to coupling points was proposed.According to whether the excitation point and the response point are coupling points or not, the FRFs related to coupling points were 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 were proposed.Then, according to the Norton Theorem in mechanical systems, it was proved that the Class III FRFs could be expressed as Class I and Class II FRFs.The correctness of the proposed method was verified by a numerical model and an experiment.

Key words

multipoint coupled system / coupling point / frequency response function(FRF) / vibration measurement

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LIAO Xuhui1,2，LI Shunming2，DAI Xudong1，ZHAO Jingbo1. Measurement of frequency response functions related to coupling points in multipoint coupled systems[J]. Journal of Vibration and Shock, 2020, 39(22): 76-81

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