Journal of Shanghai Jiao Tong University

Journal of Shanghai Jiaotong University >

2025 , Vol. 59 >Issue 8: 1114 - 1122

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2023.584

Naval Architecture, Ocean and Civil Engineering

Structural Simulation Model Updating Based on Improved MCMC Algorithm and Surrogate Model

  • MIAO Ji ,
  • DUAN Liping ,
  • LIU Jiming ,
  • LIN Siwei ,
  • ZHAO Jincheng
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  • 1. Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
    2. Shanghai Key Laboratory for Digital Maintenance of Buildings and Infrastructure, Shanghai 200240, China

Received date: 2023-11-17

  Revised date: 2024-03-18

  Accepted date: 2024-04-25

  Online published: 2024-05-08

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Abstract

To enhance the accuracy of finite element model simulation, a model updating method based on Bayesian theory is proposed, and the updating efficiency is improved by integrating improved Markov chain Monte Carlo (MCMC) algorithm and surrogate model. A radial basis function (RBF) surrogate model is constructed using the parameters to be updated as inputs and the finite element model modal responses as outputs. Whale optimization algorithm (WOA) is introduced into the MCMC algorithm and the uncertain parameters are updated. Finally, a numerical study on a simply supported beam and an experimental study on a three-story steel frame are conducted to verify the accuracy of the proposed method. The results show that WOA can significantly improve the stability and convergence speed of the MCMC algorithm, the updating efficiency can be improved by 13.9% at most, and the maximum frequency errors of the simply supported beam model and the three-story steel frame model updated by the WO-MH algorithm are 0.009% and 2.41%, respectively. The proposed model updating method can effectively enhance the simulation accuracy of the finite element model under both two-dimensional and eight-dimensional inputs, which provides technical reference for lean simulation and optimal design of building structures.

Key words： model updating; Bayesian theory; Markov chain Monte Carlo (MCMC); whale optimization algorithm (WOA); surrogate model

Cite this article

MIAO Ji , DUAN Liping , LIU Jiming , LIN Siwei , ZHAO Jincheng . Structural Simulation Model Updating Based on Improved MCMC Algorithm and Surrogate Model[J]. Journal of Shanghai Jiaotong University, 2025 , 59(8) : 1114 -1122 . DOI: 10.16183/j.cnki.jsjtu.2023.584

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