Model Updating for Bolted Structures Based on the Bayesian FFT Method

ZHANG Yong; ZHAO Yan; OUYANG Huajiang

doi:10.21656/1000-0887.400373

Volume 41 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 2020 > 41(8): 866-876

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

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Model Updating for Bolted Structures Based on the Bayesian FFT Method

doi: 10.21656/1000-0887.400373

¹State Key Laboratory of Structural Analysis for Industrial Equipment; Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaolin 116023, P.R.China;²School of Engineering, University of Liverpool, Liverpool L693BX, the UK

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

Abstract

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.
- bolted joint,
- model updating,
- Bayesian FFT method,
- uncertainty quantification

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References(17)

References

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