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相关论文: Finite Element Model Updating Using Bayesian Appro…

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Finite element model updating is challenging because 1) the problem is oftentimes underdetermined while the measurements are limited and/or incomplete; 2) many combinations of parameters may yield responses that are similar with respect to…

应用统计 · 统计学 2021-07-28 Kai Zhou , Jiong Tang

This paper considers the problem of model selection within the context of finite element model updating. Given that a number of FEM updating models, with different updating parameters, can be designed, this paper proposes using the Bayesian…

统计计算 · 统计学 2008-10-16 Linda Mthembu , Tshilidzi Marwala , Michael I. Friswell , Sondipon Adhikari

Recent papers in the field of Finite Element Model (FEM) updating have highlighted the benefits of Bayesian techniques. The Bayesian approaches are designed to deal with the uncertainties associated with complex systems, which is the main…

计算工程、金融与科学 · 计算机科学 2011-10-18 I. Boulkaibet , T. Marwala , L. Mthembu , M. I. Friswell , S. Adhikari

In this study the common least-squares minimization approach is compared to the Bayesian updating procedure. In the content of material parameter identification the posterior parameter density function is obtained from its prior and the…

数据分析、统计与概率 · 物理学 2024-08-12 Thomas Most

It is proposed in the literature that in some complicated problems maximum likelihood estimates (MLE) are not suitable or even do not exist. An alternative to MLE for estimation of the parameters is the Bayesian method. The Markov chain…

应用统计 · 统计学 2019-10-08 Ali Reza Fotouhi

The study presents a novel approach for stochastic nonlinear model updating in structural dynamics, employing a Bayesian framework integrated with Markov Chain Monte Carlo (MCMC) sampling for parameter estimation by using an approximated…

This paper proposes the response surface method for finite element model updating. The response surface method is implemented by approximating the finite element model surface response equation by a multi-layer perceptron. The updated…

计算工程、金融与科学 · 计算机科学 2007-05-23 Tshilidzi Marwala

Models of updating a set of priors either do not allow a decision maker to make inference about her priors (full bayesian updating or FB) or require an extreme degree of selection (maximum likelihood updating or ML). I characterize a…

理论经济学 · 经济学 2023-03-21 Matthew Kovach

Finite element model updating of a structure made of linear elastic materials is based on the solution of a minimization problem. The goal is to find some unknown parameters of the finite element model (elastic moduli, mass densities,…

计算工程、金融与科学 · 计算机科学 2021-02-24 Maria Girardi , Cristina Padovani , Daniele Pellegrini , Leonardo Robol

The use of the Bayesian tools in system identification and model updating paradigms has been increased in the last ten years. Usually, the Bayesian techniques can be implemented to incorporate the uncertainties associated with measurements…

计算工程、金融与科学 · 计算机科学 2017-10-27 M. Sherri , I. Boulkaibet , T. Marwala , M. I. Friswell

In this paper, we develop a Bayesian multiscale approach based on a multiscale finite element method. Because of scale disparity in many multiscale applications, computational models can not resolve all scales. Various subgrid models are…

数值分析 · 数学 2017-02-13 Y. Efendiev , W. T. Leung , S. W. Cheung , N. Guha , V. H. Hoang , B. Mallick

In this paper, a non-probabilistic method based on fuzzy logic is used to update finite element models (FEMs). Model updating techniques use the measured data to improve the accuracy of numerical models of structures. However, the measured…

人工智能 · 计算机科学 2017-01-05 I. Boulkaibet , T. Marwala , M. I. Friswell , H. Haddad Khodaparast , S. Adhikari

The increased availability of observation data from engineering systems in operation poses the question of how to incorporate this data into finite element models. To this end, we propose a novel statistical construction of the finite…

统计方法学 · 统计学 2021-01-25 Mark Girolami , Eky Febrianto , Ge Yin , Fehmi Cirak

We consider an on-line system identification setting, in which new data become available at given time steps. In order to meet real-time estimation requirements, we propose a tailored Bayesian system identification procedure, in which the…

系统与控制 · 计算机科学 2016-01-19 Diego Romeres , Giulia Prando , Gianluigi Pillonetto , Alessandro Chiuso

A recent nature inspired optimization algorithm, Fish School Search (FSS) is applied to the finite element model (FEM) updating problem. This method is tested on a GARTEUR SM-AG19 aeroplane structure. The results of this algorithm are…

计算工程、金融与科学 · 计算机科学 2013-08-13 I. Boulkabeit , L. Mthembu , T. Marwala , F. De Lima Neto

When using the finite element method (FEM) in inverse problems, its discretization error can produce parameter estimates that are inaccurate and overconfident. The Bayesian finite element method (BFEM) provides a probabilistic model for the…

数值分析 · 数学 2026-01-26 Anne Poot , Iuri Rocha , Pierre Kerfriden , Frans van der Meer

Bayesian methods are critical for quantifying the behaviors of systems. They capture our uncertainty about a system's behavior using probability distributions and update this understanding as new information becomes available. Probabilistic…

统计计算 · 统计学 2018-04-25 Thomas A. Catanach , James L. Beck

Efficient parameter identification of electrochemical models is crucial for accurate monitoring and control of lithium-ion cells. This process becomes challenging when applied to complex models that rely on a considerable number of…

系统与控制 · 电气工程与系统科学 2024-05-20 Jianzong Pi , Samuel Filgueira da Silva , Mehmet Fatih Ozkan , Abhishek Gupta , Marcello Canova

This paper is concerned with an important issue in finite mixture modelling, the selection of the number of mixing components. We propose a new penalized likelihood method for model selection of finite multivariate Gaussian mixture models.…

统计方法学 · 统计学 2013-01-17 Tao Huang , Heng Peng , Kun Zhang

Synthetic likelihood is an attractive approach to likelihood-free inference when an approximately Gaussian summary statistic for the data, informative for inference about the parameters, is available. The synthetic likelihood method derives…

统计方法学 · 统计学 2019-10-02 Victor M-H. Ong , David J. Nott , Minh-Ngoc Tran , Scott A. Sisson , Christopher C. Drovandi
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