基于Bayes FFT的螺栓连接结构模型更新方法



张勇,赵岩,欧阳华江, , Yong, ZHANG, Yan, ZHAO and Huajiang, OUYANG
(2020) 基于Bayes FFT的螺栓连接结构模型更新方法. 应用数学和力学, 41 (8). pp. 866-876.

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Abstract

A model updating method for bolted joints based on the Bayesian fast Fourier transform (FFT) method was proposed. In this method, the bolted joint was simulated with spring and thin-layer elements, and the dynamic equations for the composite structure were established with the sub-structure technique. The asymptotic distribution of the scaled FFT of the measured data in the time domain was used to formulate the posterior probability distribution function of the bolted parameters, and its negative log function was taken as the objective to conduct the parameter updating. The maximum posterior estimation generates the optimal estimation, and the uncertainty of the parameters was quantified with the asymptotic property of the posterior probability distribution. The developed method was validated in the model updating of a composite cantilever beam under stochastic excitation, where two kinds of jointed modeling methods were given. The comparison between the measured power spectrum and the updated power spectrum demonstrates the effectiveness of the developed method.

Item Type: Article
Depositing User: Symplectic Admin
Date Deposited: 28 Sep 2020 07:50
Last Modified: 18 Jan 2023 23:31
DOI: 10.21656/1000-0887.400373
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3102632