Robust Die Compensation in Sheet Metal Design through the Integration of Dual Response Surface and Shape Function Optimization

Table 5

Central composite design and related springback quality response (Q).

	Run	σy	t	α1	α7	α8	Q (mm)
Baseline run (target conditions)	1	0	0	0	0	0	0.10
Two-level full factorial design	2	1	1	1	1	1	1.36
	3	-1	1	1	1	1	0.58
	4	1	-1	1	1	1	1.34
	5	-1	-1	1	1	1	0.52
	6	1	1	-1	1	1	0.41
	7	-1	1	-1	1	1	0.64
	8	1	-1	-1	1	1	0.43
	9	-1	-1	-1	1	1	0.57
	10	1	1	1	-1	1	1.33
	11	-1	1	1	-1	1	1.44
	12	1	-1	1	-1	1	1.18
	13	-1	-1	1	-1	1	1.45
	14	1	1	-1	-1	1	1.21
	15	-1	1	-1	-1	1	0.98
	16	1	-1	-1	-1	1	1.30
	17	-1	-1	-1	-1	1	1.04
	18	1	1	1	1	-1	1.14
	19	-1	1	1	1	-1	1.51
	20	1	-1	1	1	-1	1.46
	21	-1	-1	1	1	-1	1.49
	22	1	1	-1	1	-1	1.76
	23	-1	1	-1	1	-1	1.73
	24	1	-1	-1	1	-1	1.61
	25	-1	-1	-1	1	-1	1.67
	26	1	1	1	-1	-1	0.64
	27	-1	1	1	-1	-1	0.62
	28	1	-1	1	-1	-1	0.63
	29	-1	-1	1	-1	-1	0.51
	30	1	1	-1	-1	-1	0.73
	31	-1	1	-1	-1	-1	0.79
	32	1	-1	-1	-1	-1	0.76
	33	-1	-1	-1	-1	-1	0.81
Axial runs	34	s	0	0	0	0	1.06
	35	0	s	0	0	0	0.11
	36	0	0	s	0	0	1.80
	37	0	0	0	s	0	1.06
	38	0	0	0	0	s	1.03
	39	- s	0	0	0	0	1.03
	40	0	- s	0	0	0	0.13
	41	0	0	- s	0	0	0.85
	42	0	0	0	- s	0	1.26
	43	0	0	0	0	- s	1.97
Central point with noise	44	1	1	0	0	0	0.45
	45	-1	1	0	0	0	0.45
	46	1	-1	0	0	0	0.43
	47	-1	-1	0	0	0	0.44