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Analysis of CFRP laminated plates with spatially varying non-Gaussian inhomogeneities using SFEM

机译:使用SFEM分析空间变化的非高斯不均匀性的CFRP层压板

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摘要

A stochastic finite element based methodology is developed for the uncertainty quantification and reliability analysis of laminated CFRP plates with spatially varying non-Gaussian random inhomogeneities. The material and strength properties in the individual laminae are modeled as 2-D non-Gaussian random fields whose second order probabilistic characteristics are determined from test data. The 2-D random field discretization procedure adopted enables representing the fields through a vector of correlated random variables that preserve the second order non-Gaussian characteristics of the field. Expressions are developed that enable the construction of the stochastic stiffness matrices that are dependent on these correlated random variables. Subsequently, the response analysis and failure probability estimation is carried out using Monte Carlo simulations. Discussions on the salient features of the proposed methodology are highlighted based on a set of illustrative numerical examples.
机译:开发了一种基于随机有限元的方法,用于对具有空间变化的非高斯随机不均匀性的层压CFRP板进行不确定性量化和可靠性分析。单个薄片中的材料和强度特性被建模为二维非高斯随机场,其二阶概率特性是根据测试数据确定的。所采用的二维随机场离散过程使得能够通过相关随机变量的矢量来表示场,该向量保持场的二阶非高斯特性。开发了使得能够构造依赖于这些相关的随机变量的随机刚度矩阵的表达式。随后,使用蒙特卡洛模拟进行响应分析和失效概率估计。基于一组说明性的数值示例,突出了对所提出方法的突出特征的讨论。

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