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Acta Metall Sin  2017, Vol. 53 Issue (9): 1125-1132    DOI: 10.11900/0412.1961.2016.00573
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Grain Size Prediction of Aluminum Alloy Dies Castings Based on GA-ELM
Yi MEI1(), Quanlong SUN1, Lihua YU1, Chuanrong WANG2, Huaqiang XIAO1
1 College of Mechanical Engineering, Guizhou University, Guiyang 550025, China
2 China Petroleum Xinjiang Dushanzi Petrochemical Corp., Kelamayi 833699, China
Cite this article: 

Yi MEI, Quanlong SUN, Lihua YU, Chuanrong WANG, Huaqiang XIAO. Grain Size Prediction of Aluminum Alloy Dies Castings Based on GA-ELM. Acta Metall Sin, 2017, 53(9): 1125-1132.

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Abstract  

Effective grain size prediction for aluminum alloy die castings is of great significance to the rational formulation of die casting process parameters and to the improvement of casting mechanical properties. The traditional grain size prediction method cannot give consideration to both the efficiency and accuracy because of its inherent defects. To improve the efficiency and accuracy of predicting grain size for aluminum alloy die castings, this study proposes a prediction method that is based on the genetic algorithm-extreme learning machine (GA-ELM) model. ELM has the characteristics of few parameter settings, fast learning and good generalization performance, but the algorithm randomly generates the initial input layer weight matrix and the hidden layer threshold matrix, which greatly affects the prediction result. By exploiting GA's excellent global optimization ability, the optimal initial input layer weight matrix and the hidden layer threshold matrix for ELM can be found. The establishment of GA-ELM model can considerably improve the prediction accuracy of ELM model. This study uses grain size as the output parameters and relevant die casting process parameters as the input parameters. The castings produced under different die-casting process parameters are obtained experimentally, and the microstructures of specified sections of key casting positions are analyzed and measured to obtain the average grain size of the sec tions, i.e. the output parameters. The GA-ELM model is trained and tested using these data. To verify the superiority of the GA-ELM model in grain size prediction, this study compares the prediction results of GA-ELM model with the GA-BP neural network model and the original ELM model, and eventually verifies the reliability of GA-ELM model prediction results through metallographic structure measurement experiment. The results show that the GA-ELM model has higher prediction accuracy than the GA-BP neural network model and the original ELM model. Besides, its prediction efficiency is higher than the GA-BP model, while is lower than the original ELM model. With fairly high prediction accuracy and efficiency, the GA-ELM model can meet the actual engineering requirements. Furthermore, its prediction reliability and excellent prediction effect are verified by the results of metallographic structure measurement experiment.

Key words:  aluminum alloy      microstructure      grain size      extreme learning machine (ELM)      GA-ELM model     
Received:  27 December 2016     
ZTFLH:  TG146.2  
Fund: Supported by Science and Technology Foundation of Guizhou Province (No.20142053)

URL: 

https://www.ams.org.cn/EN/10.11900/0412.1961.2016.00573     OR     https://www.ams.org.cn/EN/Y2017/V53/I9/1125

Fig.1  An algorithm flow of genetic algorithms-extreme learning machine (GA-ELM)
Fig.2  Geometric model of die casting of automobile air compressor end cover
No. TP / ℃ TI / ℃ VS / (ms-1) VF / (ms-1)
1 190 650 0.2 3
2 200 660 0.3 4
3 210 670 0.4 5
4 220 680 0.5 6
Table 1  Molding process parameters and level setting
Fig.3  Geometric model of the joint of automobile air compressor end cover
No. TP / ℃ TI / ℃ VS / (ms-1) VF / (ms-1) D / μm
1 650 190 0.2 3 250
2 650 200 0.3 4 349
3 650 210 0.4 5 282
4 650 220 0.5 6 303
5 660 190 0.3 5 282
6 660 200 0.2 6 251
7 660 210 0.5 3 313
8 660 220 0.4 4 328
9 670 190 0.4 6 274
10 670 200 0.5 5 351
11 670 210 0.3 4 346
12 670 220 0.2 3 251
13 680 190 0.5 4 245
14 680 200 0.4 3 259
15 680 210 0.3 6 245
16 680 220 0.2 5 280
17 650 190 0.5 3 260
18 650 200 0.4 4 281
19 650 210 0.3 5 294
20 650 220 0.2 6 277
21 660 190 0.5 4 320
22 660 200 0.4 3 227
23 660 210 0.3 6 288
24 660 220 0.2 5 379
25 670 190 0.4 5 268
26 670 200 0.5 5 301
27 670 210 0.2 3 292
28 670 220 0.3 4 320
29 680 190 0.4 6 213
30 680 200 0.5 5 216
31 680 210 0.2 4 280
32 680 220 0.3 3 246
Table 2  Experimental results of process parameters of the training set
No. Parameter Setting
1 Number of ELM hidden layer nodes 32
2 Population size 60
3 Maximum iterations 150
4 Crossover possibility 0.8
5 Mutation probability 0.5
6 Objective function The minimum of average relative errors
7 Fitness evaluation method Linear evaluation
8 Value range of weights Wij [-1, 1]
9 Value range of thresholds bi [-1, 1]
10 Terminal condition Maximum number of iterations
Table 3  GA-ELM parameters setting table
No. TP / ℃ TI / ℃ VS / (ms-1) VF / (ms-1) D / μm
1 650 200 0.4 6 271
2 650 210 0.5 5 308
3 650 210 0.5 6 258
4 660 200 0.3 4 270
5 660 210 0.4 3 235
6 670 190 0.5 5 262
Table 4  Experimental results of process parameters of the test set
Fig.4  Evolution consequences of the GA optimization
Fig.5  Comparisons between predicted results of GA-ELM model and output true values of test set
Fig.6  Comparisons between predicted results of GA-BP model and output true values of test set
Fig.7  Comparisons between predicted results of ELM model and output true values of test set
Model index Ea / μm Er / % t / s
GA-ELM 10.2 3.8 47.03
GA-BP 14.4 5.5 107.02
ELM 22.8 8.6 2.23
Table 5  Comparisons of prediction consequences for the three models
Fig.8  Metallographic microstructures of different positions (a~c) on the same cross-section of the joint of automobile air compressor end cover
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