Influence of multiple process parameters on the friction coefficient of prepregs and machine learning prediction method
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摘要: 在复合材料成型过程中，预浸料/预浸料和预浸料/模具之间的摩擦滑移行为会导致褶皱、孔隙等缺陷，严重影响构件力学性能。然而复杂构件成型过程中预浸料层间摩擦行为影响因素众多，现有理论模型涵盖的工艺参数有限，导致成型工艺仿真精度低，无法满足高质量成型要求。本文设计了面向多工艺参数的碳纤维预浸料摩擦试验方法，研究了速率、法向力、粘度、表面粗糙度、接触材料、纤维方向等工艺参数对摩擦系数的影响规律，以典型纤维方向$ {{\text{0}}^{\text{o}}}{\text{/4}}{{\text{5}}^{\text{o}}}{\text{/9}}{{\text{0}}^{\text{o}}} $为例，揭示了不同纤维方向的界面摩擦机理。为实现多工艺参数下摩擦系数的快速、准确预示，建立了基于支持向量回归(SVR)的预浸料摩擦系数预示模型。开展相对纤维方向为$ {\text{[3}}{{\text{0}}^{\text{o}}}{\text{/}}{{\text{0}}^{\text{o}}}{\text{]}} $和$ {\text{[6}}{{\text{0}}^{\text{o}}}{\text{/}}{{\text{0}}^{\text{o}}}{\text{]}} $的预浸料/预浸料界面摩擦系数的试验和预测，两者偏差小于7%。Abstract: During the forming process of composites, the friction-sliding behavior between prepreg ply-ply and ply-tool may lead to defects such as wrinkles and pores, which seriously affect the mechanical properties of the components. However, there are many factors affecting the inter-ply friction of the prepreg plies in the forming process of complex components. The existing theoretical models contain insufficient process parameters, resulting in the accuracy of forming process simulation not meeting high-quality forming requirements. In this paper, a friction test method for carbon fiber prepregs was designed for multiple process parameters. The influence of sliding velocity, normal force, viscosity, surface roughness, contact material, and fiber orientation on the friction coefficient were studied. Taking the typical fiber orientations of $ {{\text{0}}^{\text{o}}}{\text{/4}}{{\text{5}}^{\text{o}}}{\text{/9}}{{\text{0}}^{\text{o}}} $ as examples, the inter-ply friction mechanism in different fiber orientations was revealed. In order to predict the friction coefficient of prepreg corresponding to multiple process parameters rapidly and accurately, a prediction model for the friction coefficient of prepreg was established using the support vector regression (SVR) method. Taking the prepreg ply-ply friction behavior with relative fiber orientation of $ {\text{[3}}{{\text{0}}^{\text{o}}}{\text{/}}{{\text{0}}^{\text{o}}}{\text{]}} $ and $ {\text{[6}}{{\text{0}}^{\text{o}}}{\text{/}}{{\text{0}}^{\text{o}}}{\text{]}} $ as examples, the experiments and predictions were conducted, and the error was less than 7%.
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Key words:
- carbon fiber prepreg /
- multiple processing parameters /
- friction /
- machine learning
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图 4 摩擦试验力-位移关系曲线示意图
Figure 4. Schematic curve of force-displacement relation for the friction test
图 5 不同法向力和速率下预浸料/Ra12.5金属界面的摩擦系数
Figure 5. Friction coefficients at the prepreg/Ra12.5 metal interface under different normal forces and rates
图 6 不同粘度下Ra12.5金属、复合材料板和预浸料之间的摩擦系数
Figure 6. Friction coefficients at the Ra12.5 metal, laminate and prepreg interface under different viscosities
图 7 不同表面粗糙度下预浸料/金属界面的摩擦系数
Figure 7. Friction coefficients at the prepreg/metal interface under different surface roughness
图 8 不同接触材料对应的摩擦系数
Figure 8. Friction coefficients corresponding to different contact materials
图 9 不同纤维方向对应的摩擦系数
Figure 9. Friction coefficients corresponding to different fiber orientations
图 10 不同纤维方向界面的剖面图和立体示意图
Figure 10. Cross sectional view and stereogram of the sliding interfaces for different fiber orientations
图 12 测试集中不同样本静摩擦系数的试验值与预测值
Figure 12. Test and predicted values of static friction coefficients for different samples in the test set
图 13 测试集中不同样本动摩擦系数的试验值与预测值
Figure 13. Test and predicted values of kinetic friction coefficients for different samples in the test set
图 14 预浸料/预浸料界面的预示值与试验值对比
Figure 14. Comparison between predicted and test values of prepreg ply-ply interface
图 15 速率和法向力对预浸料/Ra12.5金属界面摩擦系数的影响
Figure 15. The influence of velocity and normal force on friction coefficient of the prepreg/Ra12.5 metal interface
表 1 摩擦试验参数
Table 1. Friction test parameters
Parameter Baseline value Additional values
investigatedSurface roughness Ra12.5 Ra12.5、Ra25 Contact material - Ra12.5 Metal、Sand、Laminate、Gypsum、Prepreg、Rubber Fiber orientation/(°) 0 0、45、90 Sliding velocity/
(mm·min−1)100 30、100、200 Normal force/N 10 2、10、20 Viscosity/
($ {\text{MPa}} \cdot {\text{s}} $)591.8 591.8、895.7 
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表 2 测试集中不同静摩擦系数预示模型的决定系数${R^2}$和预测误差的方差${S^2}$
Table 2. Coefficient of determination ${R^2}$ and forecast error variance ${S^2}$ for different static friction coefficient prediction models in the test set
Model ${R^2}$value ${S^2}$value BPNN 0.642 0.0091 RF 0.884 0.0029 SVR 0.930 0.0016
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表 3 测试集中不同动摩擦系数预示模型的决定系数${R^2}$和预测误差的方差${S^2}$
Table 3. Coefficient of determination ${R^2}$ and forecast error variance ${S^2}$ for different kinetic friction coefficient prediction models in the test set
Model ${R^2}$ value ${S^2}$ value BPNN 0.682 0.0062 RF 0.908 0.0018 SVR 0.938 0.0011
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