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Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model

机译：基于非概率椭圆模型的结构不确定性分析的相关性传播

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摘要

Traditional non-probabilistic methods for uncertainty propagation problems evaluate only the lower and upper bounds of structural responses, lacking any analysis of the correlations among the structural multi-responses. In this paper, a new non-probabilistic correlation propagation method is proposed to effectively evaluate the intervals and non-probabilistic correlation matrix of the structural responses. The uncertainty propagation process with correlated parameters is first decomposed into an interval propagation problem and a correlation propagation problem. The ellipsoidal model is then utilized to describe the uncertainty domain of the correlated parameters. For the interval propagation problem, a subinterval decomposition analysis method is developed based on the ellipsoidal model to efficiently evaluate the intervals of responses with a low computational cost. More importantly, the non-probabilistic correlation propagation equations are newly derived for theoretically predicting the correlations among the uncertain responses. Finally, the multi-dimensional ellipsoidal model is adopted again to represent both uncertainties and correlations of multi-responses. Three examples are presented to examine the accuracy and effectiveness of the proposed method both numerically and experimentally.
机译：传统的不确定传播方法对于不确定性繁殖的方法，仅评估结构响应的下限和上限，缺乏对结构多响应之间的相关性的任何分析。本文提出了一种新的非概率相关传播方法，以有效地评估结构响应的间隔和非概率相关矩阵。具有相关参数的不确定性传播过程首先分解成间隔传播问题和相关传播问题。然后利用椭圆体模型来描述相关参数的不确定性结构域。对于间隔传播问题，基于椭圆形模型开发了子间分解分析方法，以有效地评估具有低计算成本的响应的间隔。更重要的是，新导出非概率相关传播方程以用于理论上预测不确定响应之间的相关性。最后，再次采用多维椭圆形模型来表示多响应的不确定性和相关性。提出了三种示例以在数值和实验中检查所提出的方法的准确性和有效性。

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  • 来源
    《Applied Mathematical Modelling》 |2020年第12期|190-207|共18页
  • 作者

    Heng Ouyang; Jie Liu; Xu Han; Guirong Liu; Bingyu Ni; Dequan Zhang;

  • 作者单位

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body College of Mechanical and Vehicle Engineering Hunan University Changsha 410082 P. R. China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body College of Mechanical and Vehicle Engineering Hunan University Changsha 410082 P. R. China;

    State Key Laboratory of Reliability and Intelligence of Electrical Equipment School of Mechanical Engineering Hebei University of Technology Tianjin 300401 P. R. China;

    Department of Aerospace Engineering and Engineering Mechanics University of Cincinnati Cincinnati 45221 USA;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body College of Mechanical and Vehicle Engineering Hunan University Changsha 410082 P. R. China;

    State Key Laboratory of Reliability and Intelligence of Electrical Equipment School of Mechanical Engineering Hebei University of Technology Tianjin 300401 P. R. China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Uncertainty propagation; Correlation propagation; Non-probabilistic correlation; Ellipsoidal convex model; Subinterval decomposition analysis;

    机译：不确定性繁殖;相关传播;非概率相关;椭圆凸模型;子宫内分解分析;

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