基于贝叶斯统计的概率有限元模型修正

这本书涵盖了概率有限元模型更新，使用贝叶斯统计实现。考虑到测量和建模过程中的不确定性，采用贝叶斯框架估计概率有限元模型。贝叶斯公式通过将有限元模型表示为模型的后验分布来实现这一点，该模型在计算统计学的背景下给出了测量数据，并将其应用于航空和机械工程。
Probabilistic Finite Element Model Updating Using Bayesian Statistics
The book covers probabilistic finite element model updating, achieved using Bayesian statistics. The Bayesian framework is employed to estimate the probabilistic finite element models which take into account of the uncertainties in the measurements and the modelling procedure. The Bayesian formulation achieves this by formulating the finite element model as the posterior distribution of the model given the measured data within the context of computational statistics and applies these in aeronautical and mechanical engineering.

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