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Vibration analysis of structure with uncertainty using two-level Gaussian processes and Bayesian inference

机译:使用两级高斯工艺和贝叶斯推断的不确定性振动分析

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Vibration analysis of structure with uncertainty is computationally costly, especially when the finite element model involved has high dimensionality. In this research a combination of two-level Gaussian processes and Bayesian inference is employed to facilitate the development of an efficient and accurate probabilistic order-reduced model. We first employ the two-level Gaussian processes emulator to integrate together small amount of high-fidelity data from full-scale finite element analysis and large amount of low-fidelity data from order-reduced component mode synthesis (CMS) model to improve the response variation prediction. We then utilize the improved response variation prediction on modal characteristics to update the CMS model in the probabilistic sense. The effectiveness of this method is demonstrated through a case study.
机译:具有不确定性的结构的振动分析是计算昂贵的,特别是当涉及有限元模型具有高维度时。在这项研究中,采用了两级高斯工艺和贝叶斯推断的组合来促进发展有效和准确的概率顺序降低模型。我们首先采用两级高斯流程仿真器,将少量高保真数据从满量程有限元分析和大量的低保性数据从订单减少的分量模式合成(CMS)模型集成,以提高响应变异预测。然后,我们利用改进的响应变化预测模态特征来更新概率意义上的CMS模型。通过案例研究证明了该方法的有效性。

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