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Metamodel based high-fidelity stochastic analysis of composite laminates: A concise review with critical comparative assessment

机译：基于元模型的复合材料层压板高保真随机分析：简要综述和关键比较评估

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摘要

This paper presents a concise state-of-the-art review along with an exhaustive comparative investigation on surrogate models for critical comparative assessment of uncertainty in natural frequencies of composite plates on the basis of computational efficiency and accuracy. Both individual and combined variations of input parameters have been considered to account for the effect of low and high dimensional input parameter spaces in the surrogate based uncertainty quantification algorithms including the rate of convergence. Probabilistic characterization of the first three stochastic natural frequencies is carried out by using a finite element model that includes the effects of transverse shear deformation based on Mindlin's theory in conjunction with a layer-wise random variable approach. The results obtained by different metamodels have been compared with the results of traditional Monte Carlo simulation (MCS) method for high fidelity uncertainty quantification. The crucial issue regarding influence of sampling techniques on the performance of metamodel based uncertainty quantification has been addressed as an integral part of this article. (C) 2017 Elsevier Ltd. All rights reserved.
机译：本文提出了一个简洁的最新技术回顾，并在计算效率和准确性的基础上，对替代模型进行了详尽的比较研究，以对复合板固有频率的不确定性进行关键的比较评估。在基于代理的不确定性量化算法（包括收敛速度）中，已经考虑了输入参数的个体变化和组合变化来考虑低维和高维输入参数空间的影响。通过使用有限元模型对前三个随机自然频率进行概率表征，该模型包括基于Mindlin理论的横向剪切变形的影响以及分层随机变量方法。将通过不同元模型获得的结果与用于高保真度不确定性量化的传统蒙特卡洛模拟（MCS）方法的结果进行了比较。关于采样技术对基于元模型的不确定性量化的性能的影响这一至关重要的问题已作为本文的组成部分而解决。 （C）2017 Elsevier Ltd.保留所有权利。

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