Research Article
Tribological Performance Optimization of Al-7.5% SiCp Composites Using the Taguchi Method and Grey Relational Analysis
Table 4
Computation of Grey Relational Grade.
| Exp. no. | Experimental data | Normalized data | Value of Δ | Grey relational coefficient | Grey relational grade | COF | Wear (µm) | Normalized COF | Normalized WEAR | Δ value COF | Δ value WEAR | ξ value COF | ξ value WEAR |
| 1 | 0.341 | 60.07 | 0.7529 | 0.8439 | 0.2471 | 0.1561 | 0.6693 | 0.7621 | 0.7157 | 2 | 0.321 | 71.84 | 0.8706 | 0.6590 | 0.1294 | 0.3410 | 0.7944 | 0.5945 | 0.6944 | 3 | 0.387 | 85.24 | 0.4824 | 0.4484 | 0.5176 | 0.5516 | 0.4913 | 0.4755 | 0.4834 | 4 | 0.323 | 79.44 | 0.8588 | 0.5395 | 0.1412 | 0.4605 | 0.7798 | 0.5206 | 0.6502 | 5 | 0.373 | 94.89 | 0.5647 | 0.2967 | 0.4353 | 0.7033 | 0.5346 | 0.4155 | 0.4751 | 6 | 0.303 | 107.9 | 0.9765 | 0.0923 | 0.0235 | 0.9077 | 0.9551 | 0.3552 | 0.6551 | 7 | 0.316 | 50.14 | 0.9000 | 1.0000 | 0.1000 | 0.0000 | 0.8333 | 1.0000 | 0.9167 | 8 | 0.348 | 69.63 | 0.7118 | 0.6937 | 0.2882 | 0.3063 | 0.6343 | 0.6201 | 0.6272 | 9 | 0.312 | 86.03 | 0.9235 | 0.4360 | 0.0765 | 0.5640 | 0.8673 | 0.4699 | 0.6686 | 10 | 0.396 | 50.63 | 0.4294 | 0.9923 | 0.5706 | 0.0077 | 0.4670 | 0.9848 | 0.7259 | 11 | 0.469 | 61.39 | 0.0000 | 0.8232 | 1.0000 | 0.1768 | 0.3333 | 0.7388 | 0.5361 | 12 | 0.462 | 77.16 | 0.0412 | 0.5754 | 0.9588 | 0.4246 | 0.3427 | 0.5407 | 0.4417 | 13 | 0.397 | 64.45 | 0.4235 | 0.7751 | 0.5765 | 0.2249 | 0.4645 | 0.6898 | 0.5771 | 14 | 0.439 | 82.24 | 0.1765 | 0.4955 | 0.8235 | 0.5045 | 0.3778 | 0.4978 | 0.4378 | 15 | 0.456 | 96.24 | 0.0765 | 0.2755 | 0.9235 | 0.7245 | 0.3512 | 0.4083 | 0.3798 | 16 | 0.299 | 71.07 | 1.0000 | 0.6711 | 0.0000 | 0.3289 | 1.0000 | 0.6032 | 0.8016 | 17 | 0.308 | 89.68 | 0.9471 | 0.3786 | 0.0529 | 0.6214 | 0.9043 | 0.4459 | 0.6751 | 18 | 0.336 | 106.2 | 0.7824 | 0.1190 | 0.2176 | 0.8810 | 0.6967 | 0.3620 | 0.5294 | 19 | 0.383 | 57.24 | 0.5059 | 0.8884 | 0.4941 | 0.1116 | 0.5030 | 0.8176 | 0.6603 | 20 | 0.409 | 67.93 | 0.3529 | 0.7204 | 0.6471 | 0.2796 | 0.4359 | 0.6414 | 0.5386 | 21 | 0.419 | 83.21 | 0.2941 | 0.4803 | 0.7059 | 0.5197 | 0.4146 | 0.4903 | 0.4525 | 22 | 0.387 | 59.24 | 0.4824 | 0.8570 | 0.5176 | 0.1430 | 0.4913 | 0.7776 | 0.6345 | 23 | 0.452 | 67.93 | 0.1000 | 0.7204 | 0.9000 | 0.2796 | 0.3571 | 0.6414 | 0.4993 | 24 | 0.409 | 83.21 | 0.3529 | 0.4803 | 0.6471 | 0.5197 | 0.4359 | 0.4903 | 0.4631 | 25 | 0.363 | 65.58 | 0.6235 | 0.7573 | 0.3765 | 0.2427 | 0.5705 | 0.6733 | 0.6219 | 26 | 0.395 | 89.09 | 0.4353 | 0.3879 | 0.5647 | 0.6121 | 0.4696 | 0.4496 | 0.4596 | 27 | 0.334 | 113.77 | 0.7941 | 0.0000 | 0.2059 | 1.0000 | 0.7083 | 0.3333 | 0.5208 |
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