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Research on Finite Element Model Modification of Carbon Fiber Reinforced Plastic (CFRP) Laminated Structures Based on Correlation Analysis and an Approximate Model

机译：基于相关分析和近似模型的碳纤维增强塑料（CFRP）层合结构有限元模型修正研究

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摘要

Carbon fiber reinforced plastic (CFRP) laminated structures have been widely used in modern engineering due to their excellent material properties, especially in the aerospace and shipping industries. This requires a high-accuracy finite element model of CFRP laminated structures. However, it is difficult to master the mechanical properties of CFRP structures comprehensively and accurately due to influences from multiple aspects, such as dispersion of material properties, uncertainty of manufacturing technologies, etc. Therefore, a finite element model modification method of CFRP laminated structures based on correlation analysis and an approximate model was proposed. Aiming at minimizing the difference between the analysis model and the measured inherent frequency, the proposed method improves the finite element modeling accuracy of CFRP laminated structures, by iterative optimization based on a global optimization algorithm. In order to solve the problem of high spatial dimension and slow searching in modification of CFRP laminated structure models, the Pearson correlation analysis method was used to screen the material parameters which exert significant impacts on frequency characteristics to reconstruct the searching space. Based on significance parameters, an approximate response model of the CFRP laminated structural system was established. Meanwhile, the modeling accuracy of different orders of response surface models (RSM) and a radial basis function (RBF) neural network model was analyzed, and the best approximate modeling scheme was obtained. The approximate model was updated based on the multi-island genetic algorithm (MIGA) to modify the finite element model of the CFRP laminated structure model. The maximum error and mean error of the updated model are 1.47% and 0.45%. It was proved that the material parameters modified by the proposed method are applicable to simulation analysis of the CFRP laminated structure.
机译：碳纤维增强塑料（CFRP）层压结构由于其优异的材料性能而被广泛用于现代工程中，尤其是在航空航天和航运业中。这需要CFRP叠层结构的高精度有限元模型。然而，由于材料特性的分散性，制造工艺的不确定性等多方面的影响，很难全面，准确地掌握CFRP结构的力学性能。因此，提出了一种基于CFRP层合结构的有限元模型修正方法。基于相关分析，提出了一个近似模型。为了使分析模型与实测固有频率之间的差异最小，该方法通过基于全局优化算法的迭代优化，提高了CFRP叠层结构的有限元建模精度。为了解决CFRP叠层结构模型修改中空间尺寸大，搜索速度慢的问题，采用了Pearson相关分析法筛选对频率特性有重要影响的材料参数，重构了搜索空间。基于显着性参数，建立了CFRP层状结构体系的近似响应模型。同时，分析了不同阶次的响应面模型（RSM）和径向基函数（RBF）神经网络模型的建模精度，并获得了最佳的近似建模方案。基于多岛遗传算法（MIGA）更新了近似模型，以修改CFRP叠层结构模型的有限元模型。更新后的模型的最大误差和平均误差为1.47％和0.45％。实践证明，该方法修改后的材料参数适用于CFRP叠层结构的仿真分析。

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