1. Bayesian Probabilistic Approach to FE Model Updating of Vehicle Typical Spot Weld Structure
- Author
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Hong Yan Wang, Chun Zhu Yao, and Qiang Rui
- Subjects
Engineering ,business.industry ,Estimation theory ,Posterior probability ,General Engineering ,Probabilistic logic ,Markov chain Monte Carlo ,Standard deviation ,Finite element method ,Statistics::Computation ,symbols.namesake ,Statistics ,Prior probability ,symbols ,business ,Spot welding ,Algorithm - Abstract
Finite element (FE) modeling of laser welds for dynamic analysis is a research issue because of the complexity and uncertainty of the welds and thus formed structures. A Bayesian probabilistic framework incorporating MCMC for updating the parameters of a spot weld structure model was presented, cooperation of finite element program and multiple chains sampling technology was realized, and statistical characteristics of structural parameters were obtained. Distribution ranges of the three frequencies were predicted based on parameter estimation. Numerical simulation indicates that there are little changes in standard deviations of posterior distribution compared to prior distribution, the posterior mean values are in good agreement with the corresponding measured average values. The convergence indicates the techniques feasibility and effectiveness. The present work offers an alternative approach to updating the spot weld structure parameters.
- Published
- 2013