TiBw/Ti55复合材料氧化层厚度的支持向量机模型

Support vector machine model for predicting oxidation thickness of TiBw/Ti55 composites

  • 摘要: 本文采用支持向量机方法与粒子群优化算法,以氧化实验为基础,优化了TiBw/Ti55复合材料氧化层厚度支持向量机模型的惩罚系数C为64.15405、径向基宽度系数g为0.56689,建立了TiBw/Ti55复合材料氧化层厚度模型为 f\left(x\right)=\displaystyle\sum\nolimits_i,j=1^16\left(\alpha _i-\alpha _i^*\right)\exp\left(-0.56689\left|\right|x_norm^i-x_norm^j\left|\right|^2\right)+0.39490 ;氧化层厚度预测模型训练集的决定系数为0.98706,均方根误差为0.05445,测试集的决定系数为0.99504,均方根误差为0.13211,TiBw/Ti55复合材料氧化层厚度的预测值与实验值的平均误差为5.88%,说明本文建立的TiBw/Ti55复合材料氧化层厚度支持向量机模型具有高预测精度。在此基础上,分析了氧化温度、增强相体积分数和氧化时间对TiBw/Ti55复合材料氧化层厚度的影响规律。

     

    Abstract: This study employed the Support Vector Machine (SVM) method combined with the Particle Swarm Optimization (PSO) algorithm to optimize the penalty coefficient C and the radial basis function width coefficient g of the SVM model for predicting the oxide layer thickness of TiBw/Ti55 composites based on oxidation experiments. The optimized penalty coefficient (C) is 64.15405, and the radial basis function width coefficient (g) is 0.56689. A predictive model for the oxidation layer thickness of TiBw/Ti55 composites was established. The established model for predicting the oxide layer thickness of TiBw/Ti55 composites is f\left(x\right)= \displaystyle\sum\nolimits_i,j=1^16\left(\alpha _i-\alpha _i^*\right) \exp\left(-0.56689\left|\right|x_norm^i-x_norm^j\left|\right|^2\right)+ 0.39490 . The predicted model has a training set coefficient of determination (R2) of 0.98706 and a root-mean-square error (RMSE) of 0.05445. The testing set has a coefficient of determination (R2) of 0.99504 and a root-mean-square error (RMSE) of 0.13211. The average error between the predicted and experimental values of the oxide layer thickness of TiBw/Ti55 composites is 5.88%, indicating that the SVM model established in this study has high predictive accuracy. On the basis of the above, the influence of oxidation temperature, volume fraction of the reinforcing phase, and oxidation time on the oxide layer thickness of TiBw/Ti55 composites is analyzed.

     

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