Modeling and Optimization for Piercing Efficiency and Energy Consumption Based on Mean Value Substaged KELM-PLS and GA Method

Table 4

Optimization result of piercing efficiency and energy consumption.

Number	Decision variables	The mean of variables	Optimization results in the highest efficiency piercing	Optimization results in the lowest energy consumption	Unit
1	𝑥1	The rotational speed of roll at first stage	136.72	120.91	r/min
2	𝑥2	The percent reduction of roll at first stage	144.75	140.13	mm
3	𝑥3	The angle of inclination of roll at first stage	13.71	12.33	°
4	𝑥4	The position change range of pusher	2549.63	2547.32	mm
5	𝑥5	The actual position of mandrel thrust block	115.64	112.42	mm
6	𝑥6	The position of mandrel at first stage	279.32	279.43	mm
7	𝑥7	The temperature of tube blank at second stage	1286.23	1251.54	°C
8	𝑥8	The rotational speed of roll at second stage	171.82	154.43	°
9	𝑥9	The percent reduction of roll at second stage	144.86	142.75	mm
10	𝑥10	The angle of inclination of roll at second stage	13.47	12.49	°
11	𝑥11	The position of mandrel at second stage	280.56	277.78	mm
12	𝑥12	The rotational speed of guide disc at second stage	26.74	26.15	r/min
13	𝑥13	The rotational speed of roll at third stage	152.51	137.69	r/min
14	𝑥14	The percent reduction of roll at third stage	146.43	142.74	mm
15	𝑥15	The angle of inclination of roll at third stage	13.73	12.34	°
16	𝑥16	The position of mandrel at third stage	280.64	278.87	mm
17	𝑥17	The rotational speed of guide disc at third stage	28.65	26.78	r/min