Strength Prediction of Aluminum-Stainless Steel-Pulsed TIG Welding-Brazing Joints with RSM and ANN

doi:10.1007/s40195-014-0115-6

摘要/Abstract

Abstract:

Pulsed TIG welding-brazing process was applied to join aluminum with stainless steel dissimilar metals. Major parameters that affect the joint property significantly were identified as pulsed peak current, base current, pulse on time, and frequency by pre-experiments. A sample was established according to central composite design. Based on the sample, response surface methodology (RSM) and artificial neural networks (ANN) were employed to predict the tensile strength of the joints separately. With RSM, a significant and rational mathematical model was established to predict the joint strength. With ANN, a modified back-propagation algorithm consisting of one input layer with four neurons, one hidden layer with eight neurons, and one output layer with one neuron was trained for predicting the strength. Compared with RSM, average relative prediction error of ANN was <10% and it obtained more stable and precise results.

Key words: Welding-brazing, Aluminum, Stainless steel, Response surface methodology (RSM), Artificial neural networks (ANN), Prediction

. [J]. 金属学报英文版, 2014, 27(6): 1012-1017.

He Huan, Yang Chunli, Chen Zhe, Lin Sanbao, Fan Chenglei. Strength Prediction of Aluminum-Stainless Steel-Pulsed TIG Welding-Brazing Joints with RSM and ANN[J]. Acta Metallurgica Sinica (English Letters), 2014, 27(6): 1012-1017.

图/表 14

参考文献 27

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Material	C	Mn	Mg	Si	Cu	Zn	Ti	Ni	Cr	Fe	Al
SUS321	0.12	2	-	1	-	-	0.2	8-10	17-19	Bal.	-
5A06	-	0.5-0.8	5.8-6.8	0.4	0.1	0.2	0.1	-	-	0.4	Bal.
ER1100	-	0.05	-	x	0.05-0.2	0.1	-	-	-	0.95-x	Bal.

Material	C	Mn	Mg	Si	Cu	Zn	Ti	Ni	Cr	Fe	Al
SUS321	0.12	2	-	1	-	-	0.2	8-10	17-19	Bal.	-
5A06	-	0.5-0.8	5.8-6.8	0.4	0.1	0.2	0.1	-	-	0.4	Bal.
ER1100	-	0.05	-	x	0.05-0.2	0.1	-	-	-	0.95-x	Bal.

Number	Peak current (A)	Pulse on time (%)	Basic current (A)	Frequency of pulsed current (Hz)	Tensile strength (MPa)
No. 1	145.00	35.00	55.00	76.00	156.58
No. 2	150.00	40.00	60.00	52.00	198.30
No. 3	150.00	40.00	60.00	52.00	204.69
No. 4	145.00	35.00	55.00	28.00	163.68
No. 5	145.00	35.00	65.00	76.00	186.93
No. 6	155.00	45.00	55.00	76.00	211.06
No. 7	155.00	45.00	65.00	28.00	213.59
No. 8	145.00	35.00	65.00	28.00	197.86
No. 9	150.00	40.00	60.00	4.00	213.55
No. 10	145.00	45.00	55.00	76.00	195.54
No. 11	140.00	40.00	60.00	52.00	188.34
No. 12	150.00	30.00	60.00	52.00	194.90
No. 13	150.00	40.00	60.00	52.00	188.90
No. 14	150.00	40.00	60.00	52.00	207.69
No. 15	150.00	50.00	60.00	52.00	234.02
No. 16	160.00	40.00	60.00	52.00	203.15
No. 17	155.00	45.00	65.00	76.00	216.29
No. 18	150.00	40.00	50.00	52.00	187.26
No. 19	145.00	45.00	65.00	28.00	222.22
No. 20	155.00	45.00	55.00	28.00	202.53
No. 21	155.00	35.00	65.00	28.00	198.73
No. 22	150.00	40.00	70.00	52.00	212.64
No. 23	150.00	40.00	60.00	100.00	190.96
No. 24	155.00	35.00	55.00	76.00	188.69
No. 25	155.00	35.00	65.00	76.00	197.68
No. 26	145.00	45.00	55.00	28.00	209.70
No. 27	150.00	40.00	60.00	52.00	201.50
No. 28	145.00	45.00	65.00	76.00	210.24
No. 29	155.00	35.00	55.00	28.00	180.51
No. 30	150.00	40.00	60.00	52.00	206.19
No. 31	150.00	40.00	60.00	52.00	196.00

Number	Peak current (A)	Pulse on time (%)	Basic current (A)	Frequency of pulsed current (Hz)	Tensile strength (MPa)
No. 1	145.00	35.00	55.00	76.00	156.58
No. 2	150.00	40.00	60.00	52.00	198.30
No. 3	150.00	40.00	60.00	52.00	204.69
No. 4	145.00	35.00	55.00	28.00	163.68
No. 5	145.00	35.00	65.00	76.00	186.93
No. 6	155.00	45.00	55.00	76.00	211.06
No. 7	155.00	45.00	65.00	28.00	213.59
No. 8	145.00	35.00	65.00	28.00	197.86
No. 9	150.00	40.00	60.00	4.00	213.55
No. 10	145.00	45.00	55.00	76.00	195.54
No. 11	140.00	40.00	60.00	52.00	188.34
No. 12	150.00	30.00	60.00	52.00	194.90
No. 13	150.00	40.00	60.00	52.00	188.90
No. 14	150.00	40.00	60.00	52.00	207.69
No. 15	150.00	50.00	60.00	52.00	234.02
No. 16	160.00	40.00	60.00	52.00	203.15
No. 17	155.00	45.00	65.00	76.00	216.29
No. 18	150.00	40.00	50.00	52.00	187.26
No. 19	145.00	45.00	65.00	28.00	222.22
No. 20	155.00	45.00	55.00	28.00	202.53
No. 21	155.00	35.00	65.00	28.00	198.73
No. 22	150.00	40.00	70.00	52.00	212.64
No. 23	150.00	40.00	60.00	100.00	190.96
No. 24	155.00	35.00	55.00	76.00	188.69
No. 25	155.00	35.00	65.00	76.00	197.68
No. 26	145.00	45.00	55.00	28.00	209.70
No. 27	150.00	40.00	60.00	52.00	201.50
No. 28	145.00	45.00	65.00	76.00	210.24
No. 29	155.00	35.00	55.00	28.00	180.51
No. 30	150.00	40.00	60.00	52.00	206.19
No. 31	150.00	40.00	60.00	52.00	196.00

Item	Sum of squares	Degree of freedom	Mean square	F	Probability
Model	6,586.67	10	658.67	17.29	<0.0001
I _p	383.60	1	383.60	10.07	0.0048
t _p	3,474.02	1	3,474.02	91.18	<0.0001
I _b	1,441.66	1	1,441.66	37.84	<0.0001
f	209.98	1	209.98	5.51	0.0293
I _p × t _p	187.62	1	187.62	4.92	0.0382
I _p × I _b	145.50	1	145.50	3.82	0.0648
I _p × f	244.38	1	244.38	6.41	0.0198
I _b × t _p	145.38	1	145.38	3.82	0.0649
I _p ²	123.53	1	123.53	3.24	0.0869
t _p ²	200.65	1	200.65	5.27	0.0327
Residual	761.98	20	38.10	-	-
Lack of fit	506.31	14	36.17	0.85	0.6282
Pure error	255.67	6	42.61	-	-