工程科学学报，第44卷，第X期 表1Ti一V-Cr系阻燃钛合金实验值与支持向量机模型预测值的误差比较 Table 1 Error comparison of the mechanical properties of the experimental data with the predicted values using SVM Mass fraction/% Mechanical properties Sample- Comparison Al Si C Tensile strength/MPa Yield strength/MPa Elongation/%Reduction of area/% Experimental 1042 1028 10.0 15.0 1 35.0000 0 Predicted 1042.10 1028.10 10.10 15.10 Absolute error/% 0.01 0.01 1.00 0.67 Experimental 1060 1032 15.1 19.5 2 35.0000.25 0 Predicted 1059.90 1031.90 15.00 19.40 Absolute error/% 0.01 0.01 0.66 0.52 Experimental 1111 1080 7.3 11.0 3 35.00 0 0.50 0 Predicted 1110.90 1079.90 7.40 11.10 Absolute error/% 0.01 0.01 1.37 0.91 Experimental 1071 1005 18.4 33.0 4 35.0000 0.08 Predicted 1060.60 997.32 18.30 32.90 Absolute error% 0.97 0.76 0.55 0.30 Experimental 1065 1005 19.0 33.5 35.0000.50 0.08 Predicted 1065.10 1005.10 18.90 33.40 Absolute error/% 0.01 0.01 0.52 0.30 Experimental 1034 952 21.0 38.1 6 35.00 0 0 0.15 Predicted 1034.10 952.10 21.10 38.20 Absolute error/% 0.01 0.01 0.47 0.26 Experimental 1070 1050 16.0 22.5 25.502.60 0 0.27 Predicted 1069.90 1049.90 14.66 23.11 Absolute error/% 0.01 0.01 8.39 2.70 Experimental 960 933 24.5 46.0 20.0000.20 0 Predicted 960.10 933.10 24.40 45.90 Absolute error/% 0.01 0.01 0.41 0.22 Experimental 1025 973 20.0 38.5 30.0000.20 0 Predicted 1024.90 973.10 19.90 32.84 Absolute error/% 0.01 0.01 0.50 14.70 Experimental 1025 964 17.2 33.0 10 35.000 0.300.10 Predicted 1024.90 963.90 17.30 33.10 Absolute error/% 0.01 0.01 0.58 0.30 Experimental 1026 963 16.5 29.4 1135.2000.17 0.07 Predicted 1026.10 970.16 16.60 29.50 Absolute error/ 0.01 0.74 0.61 0.34 Experimental 969 942 18.5 30.4 12” 25.2000.21 Predicted 986.21 936.34 19.18 31.78 Absolute error/% 1.78 0.60 3.68 4.54 Note:**are test sets and the rest are training sets,*is the data from references [12,16]. 数据进行预测 与模型预测值的误差分析如表1所示.从表1中 各个力学性能训练样本及测试样本的实验值 可以看出，训练样本的抗拉强度和屈服强度的实数据进行预测. 各个力学性能训练样本及测试样本的实验值 与模型预测值的误差分析如表 1 所示. 从表 1 中 可以看出，训练样本的抗拉强度和屈服强度的实 表 1  Ti−V−Cr 系阻燃钛合金实验值与支持向量机模型预测值的误差比较 Table 1 Error comparison of the mechanical properties of the experimental data with the predicted values using SVM Sample Mass fraction/% Comparison Mechanical properties V Al Si C Tensile strength/MPa Yield strength/MPa Elongation/% Reduction of area/% 1 35.00 0 0 0 Experimental 1042 1028 10.0 15.0 Predicted 1042.10 1028.10 10.10 15.10 Absolute error/% 0.01 0.01 1.00 0.67 2 35.00 0 0.25 0 Experimental 1060 1032 15.1 19.5 Predicted 1059.90 1031.90 15.00 19.40 Absolute error/% 0.01 0.01 0.66 0.52 3 35.00 0 0.50 0 Experimental 1111 1080 7.3 11.0 Predicted 1110.90 1079.90 7.40 11.10 Absolute error/% 0.01 0.01 1.37 0.91 4 35.00 0 0 0.08 Experimental 1071 1005 18.4 33.0 Predicted 1060.60 997.32 18.30 32.90 Absolute error% 0.97 0.76 0.55 0.30 5 35.00 0 0.50 0.08 Experimental 1065 1005 19.0 33.5 Predicted 1065.10 1005.10 18.90 33.40 Absolute error/% 0.01 0.01 0.52 0.30 6 35.00 0 0 0.15 Experimental 1034 952 21.0 38.1 Predicted 1034.10 952.10 21.10 38.20 Absolute error/% 0.01 0.01 0.47 0.26 7 * 25.50 2.60 0 0.27 Experimental 1070 1050 16.0 22.5 Predicted 1069.90 1049.90 14.66 23.11 Absolute error/% 0.01 0.01 8.39 2.70 8 * 20.00 0 0.20 0 Experimental 960 933 24.5 46.0 Predicted 960.10 933.10 24.40 45.90 Absolute error/% 0.01 0.01 0.41 0.22 9 * 30.00 0 0.20 0 Experimental 1025 973 20.0 38.5 Predicted 1024.90 973.10 19.90 32.84 Absolute error/% 0.01 0.01 0.50 14.70 10 35.00 0 0.30 0.10 Experimental 1025 964 17.2 33.0 Predicted 1024.90 963.90 17.30 33.10 Absolute error/% 0.01 0.01 0.58 0.30 11 35.20 0 0.17 0.07 Experimental 1026 963 16.5 29.4 Predicted 1026.10 970.16 16.60 29.50 Absolute error/% 0.01 0.74 0.61 0.34 12** 25.20 0 0.21 0 Experimental 969 942 18.5 30.4 Predicted 986.21 936.34 19.18 31.78 Absolute error/% 1.78 0.60 3.68 4.54 Note: **are test sets and the rest are training sets;* is the data from references [12,16]. · 4 · 工程科学学报，第 44 卷，第 X 期