ZHANG Yong, ZHAO Yan, OUYANG Huajiang. Model Updating for Bolted Structures Based on the Bayesian FFT Method[J]. Applied Mathematics and Mechanics, 2020, 41(8): 866-876. doi: 10.21656/1000-0887.400373
Citation: ZHANG Yong, ZHAO Yan, OUYANG Huajiang. Model Updating for Bolted Structures Based on the Bayesian FFT Method[J]. Applied Mathematics and Mechanics, 2020, 41(8): 866-876. doi: 10.21656/1000-0887.400373

Model Updating for Bolted Structures Based on the Bayesian FFT Method

doi: 10.21656/1000-0887.400373
Funds:  The National Natural Science Foundation of China(11772084;11672052)
  • Received Date: 2019-12-16
  • Rev Recd Date: 2020-03-05
  • Publish Date: 2020-08-01
  • 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.
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