基于神经网络与遗传算法的复合材料固化工艺多目标优化研究

Multi-Objective Optimization of Composite Curing Process Based on Neural Networks and Genetic Algorithms

  • 摘要: 树脂基复合材料在固化过程中受多物理场耦合作用极易产生固化变形,而固化工艺参数的合理设计对于减少固化变形、提高成形精度以及保证生产效率具有重要意义。然而,热-化-力耦合数值仿真计算代价高昂,限制了其在多目标优化中的直接应用。因此,本文提出了一种基于前馈神经网络(FNN)代理模型与 NSGA-II 多目标优化算法相结合的固化工艺参数优化方法。采用热-化-力耦合有限元仿真生成样本数据,以升温速率、降温速率、保温时间和保温温度为输入参数,构建 FNN 代理模型,实现对回弹角、最大变形量及最终固化度等关键响应的快速预测。模型训练与验证结果表明,所建立的 FNN 具有良好的预测精度和泛化能力。随后,利用 NSGA-II 算法对固化工艺参数进行多目标优化,获得了一组非支配解构成的 Pareto 解集。优化结果分析表明,回弹角与工艺总时间之间存在显著的负相关关系,揭示了固化工艺中成形精度与生产效率之间的内在权衡机制。所得 Pareto 前沿分布连续且均匀,并且明确了不同的工艺参数对固化变形的影响程度,可为不同工程需求提供多种可行的工艺参数组合方案。所提出的 FNN-NSGA-II 优化框架能够在显著降低计算成本的同时有效指导复合材料固化工艺设计。

     

    Abstract: Curing-induced deformation frequently occurs in resin-based composites due to the coupling effects of thermal, chemical, and mechanical fields during the curing process. The rational design of curing process parameters is therefore crucial for reducing deformation, improving forming accuracy, and ensuring production efficiency. However, thermo–chemo–mechanical coupled numerical simulations are computationally expensive, which limits their direct use in multi-objective optimization. To overcome this limitation, a curing process parameter optimization framework combining a feedforward neural network (FNN) surrogate model with the NSGA-II multi-objective optimization algorithm is proposed. Sample data are generated through thermo–chemo–mechanical finite element simulations. The heating rate, cooling rate, holding time, and holding temperature are used as input variables to construct the FNN surrogate model, enabling rapid prediction of key responses including spring-in angle, maximum deformation, and final degree of cure. The training and validation results demonstrate that the developed FNN model achieves high prediction accuracy and good generalization capability. Subsequently, NSGA-II is employed to perform multi-objective optimization of the curing parameters, resulting in a set of non-dominated solutions forming a Pareto front. The optimization results reveal a significant negative correlation between the spring-in angle and the total process time, indicating an inherent trade-off between forming accuracy and production efficiency. The obtained Pareto front is continuous and well distributed, and the influence of different process parameters on curing deformation is clarified, providing multiple feasible parameter combinations for various engineering requirements. The proposed FNN–NSGA-II framework can effectively guide the design of composite curing processes while significantly reducing computational cost.

     

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