1 Introduction
2 Parameters Optimization Based on Uniform Experimental Design
2.1 Experimental System of Magnetic Frequency Mixing
Material | C | Cr | Mn | Ni | P | S | Si |
---|---|---|---|---|---|---|---|
LG1500HS | 0.42–0.50 | ≤ 0.25 | 0.50–0.80 | ≤ 0.25 | ≤ 0.035 | ≤ 0.035 | 0.17–0.37 |
Tempered temperature (°C) | 850 | 600 | 560 | 530 | 500 | 400 | 330 | 240 | 180 |
---|---|---|---|---|---|---|---|---|---|
Hardness (HV) | 194.0 | 235.0 | 270.0 | 294.0 | 306.0 | 412.0 | 481.0 | 547.0 | 595.0 |
2.2 Uniform Experimental Design
Excitation | Low frequency (Hz) | High frequency (Hz) | Low amplitude (V) | High amplitude (V) |
---|---|---|---|---|
Range | 1–29 | 50–750 | 0.5–7.5 | 0.1–2.9 |
Step | 2 | 50 | 0.5 | 0.2 |
Level | Factor | |||
---|---|---|---|---|
Low frequency (Hz) | High frequency (Hz) | Low amplitude (V) | High amplitude (V) | |
1 | 17 | 700 | 2 | 2.7 |
2 | 5 | 600 | 1 | 1.1 |
3 | 29 | 450 | 3 | 0.7 |
4 | 11 | 750 | 5 | 1.5 |
5 | 13 | 350 | 1.5 | 0.1 |
6 | 23 | 300 | 4.5 | 2.9 |
7 | 27 | 550 | 6 | 2.1 |
8 | 7 | 400 | 7 | 2.5 |
9 | 19 | 50 | 4 | 0.9 |
10 | 1 | 500 | 3.5 | 1.9 |
11 | 3 | 250 | 5.5 | 0.5 |
12 | 21 | 650 | 6.5 | 0.3 |
13 | 15 | 150 | 7.5 | 1.3 |
14 | 25 | 200 | 0.5 | 1.7 |
15 | 9 | 100 | 2.5 | 2.3 |
2.3 Model for Evaluating the Frequency-Mixing Effect
2.3.1 Characteristic Index of Magnetic Frequency Mixing Effect
Level | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
---|---|---|---|---|---|---|---|---|
xD | 0.3070 | 0.3181 | 0.1441 | 0.0296 | 0.1629 | 0.0132 | 0.0391 | 0.0757 |
xP | − 0.3078 | 0.7330 | − 0.0677 | 0.9078 | − 0.8602 | − 0.0710 | 0.4202 | 0.9588 |
Level | 9 | 10 | 11 | 12 | 13 | 14 | 15 | |
---|---|---|---|---|---|---|---|---|
xD | 0.0256 | 0.0356 | 0.0825 | 0.0692 | 0.0679 | 0.2305 | 0.0904 | |
xP | − 0.1638 | 0.9628 | 0.9979 | 0.8282 | 0.9613 | 0.7994 | 0.9865 |
2.3.2 Fuzzy Model for Evaluating of Magnetic Frequency Mixing Effect
Level | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
---|---|---|---|---|---|---|---|---|
μDR | 0.3259 | 0.2936 | 0.8104 | 0.9919 | 0.7620 | 0.9985 | 0.9857 | 0.9457 |
μPC | 0.4197 | 0.5604 | 0.4374 | 0.6511 | 0.3895 | 0.4371 | 0.4915 | 0.7141 |
Level | 9 | 10 | 11 | 12 | 13 | 14 | 15 | |
---|---|---|---|---|---|---|---|---|
μDR | 0.9940 | 0.9882 | 0.9356 | 0.9546 | 0.9563 | 0.5628 | 0.9229 | |
μPC | 0.4299 | 0.7217 | 0.8999 | 0.5988 | 0.7188 | 0.5854 | 0.7911 |
2.4 Regression Analysis
Correlation index | R | R2 | F |
---|---|---|---|
Results | 0.995 | 0.990 | 55.139 |
Fuzzy evaluation index | Low amplitude (V) | High amplitude (V) | Low frequency (Hz) | High frequency (Hz) |
---|---|---|---|---|
1.2708 | 5 | 1 | 1 | 200 |
3 Experimental Validation
No. | Fuzzy evaluation value | Low amplitude (V) | High amplitude (V) | Low frequency (Hz) | High frequency (Hz) |
---|---|---|---|---|---|
1 | 1.2708 | 5 | 1 | 1 | 200 |
2 | 0.9206 | 5.5 | 0.5 | 3 | 250 |
3 | 0.3653 | 2 | 2.7 | 17 | 700 |