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The performance prediction and optimization of the fiber-reinforced composite structure with uncertain parameters

机译：参数不确定的纤维增强复合材料结构性能预测与优化

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摘要

The fiber-reinforced composites display the random fiber orientations and uncertain material parameters because of the manufacturing error and scattering feature. For this problem, the uncertain prediction and optimization based on the transformed perturbation stochastic method, the edged-based smoothing technique and the optimization theory is presented. In this method, the non-Gaussian probability density functions and the cumulative distribution functions of multi-variables for stochastic static responses of fiber-reinforced composite structure are explicitly exhibited as the prediction result compared with the Monte Carlo solution. Unlike the direct MCs, it only needs an iteration as the FEM and has the potential in the complex construction. In order to improve the efficiency and capability to resist the mesh distortion compared with the traditional stochastic FEM, the edged-based smoothing technique is introduced into the present framework. Furthermore, the stable performance feature of the fiber reinforced composite in the uncertain working condition is presented. Consequently, objectives of the structural stability and insensitivity criteria based on the second-order perturbation expansion are proposed, and overall uncertain conditions coupled by uncertain fiber orientation, external load, material parameters and geometry sizes are analyzed and optimized within this framework, respectively. To verify the effectiveness and accuracy of the uncertain analysis and optimization in this study, three examples including the composite plates, the composite shell and the composite top cover of automobile are provided. (C) 2016 Elsevier Ltd. All rights reserved.
机译：由于制造误差和散射特性，纤维增强复合材料显示出随机的纤维取向和不确定的材料参数。针对该问题，提出了基于变换扰动随机方法，基于边的平滑技术和优化理论的不确定性预测和优化方法。与蒙特卡洛方法相比，该方法将纤维增强复合材料结构随机静态响应的非高斯概率密度函数和多变量的累积分布函数明确显示为预测结果。与直接MC不同，它只需要作为FEM进行迭代即可，并且在复杂的结构中具有潜力。与传统的随机有限元法相比，为了提高抗网格变形的效率和能力，在本框架中引入了基于边缘的平滑技术。此外，还提出了纤维增强复合材料在不确定工作条件下的稳定性能特征。因此，提出了基于二阶扰动扩展的结构稳定性和不灵敏性标准的目标，并在此框架内分别分析和优化了由不确定的纤维取向，外部载荷，材料参数和几何尺寸耦合的总体不确定条件。为了验证本研究不确定性分析和优化的有效性和准确性，提供了三个示例，包括汽车的复合板，复合壳和复合顶盖。 （C）2016 Elsevier Ltd.保留所有权利。

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