Model updating based on sensitivity analysis of displacement FRF

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (17) : 63-69.

ZHANG Yafeng1, YIN Hong1, PENG Zhenrui1, ZHANG Xueping1, DONG Kangli2

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Abstract

Here, to solve the problem of it being difficult to get the correct convergence results through direct iteration due to inherent limitations of the first-order approximation when the FRF sensitivity analysis method was used for model updating, a method of FRF sensitivity fitting function was proposed for structural damage identification model updating.Firstly, excitation points were selected according to the variation coefficient criterion of modal participation, and combining the frequency response effective independence method and the distance coefficient effective independence method, positions of measuring points were chosen.Then, a reasonable frequency point was selected by comprehensively considering sensitivities of FRF to changes of correction parameters and correlation of FRF.Finally, the sensitivity function of FRF with variation of parameters was fitted, and introducing new intermediate design parameters, the sensitivity equation of FRF with intermediate design parameters was established.Changes of correction parameters were solved through solving changes of intermediate design parameters.Numerical examples of a 3-DOF mass-spring system and a 2-D truss system verified the feasibility of the proposed method.Numerical examples showed that the proposed method has higher computational efficiency and identification accuracy; it is robust to random noise; the convergence problem caused by numerical balance of sensitivity equations is effectively avoided.

Key words

frequency response function (FRF) / sensitivity analysis / fitting function / model updating / damage identification

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ZHANG Yafeng, YIN Hong, PENG Zhenrui, ZHANG Xueping, DONG Kangli. Model updating based on sensitivity analysis of displacement FRF[J]. Journal of Vibration and Shock, 2021, 40(17): 63-69

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