Tire properties
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Tire properties
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PL-Tirefit was used to identify the Pacejka’s coefficient from tire experimental data available in the scientific literature.
Because all these data were not measured with the same sign conventions for force and moment and wheel slip, they have been reprocessed according to the sign convention named adapted SAE (see Tyre and Vehicle Dynamics, Hans B. Pacejka) and defined as follows :
Side angle (top view)
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Inclination/ camber angle (rear view)
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Side slip
Longitudinal slip
Turn slip
Longitudinal force
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Lateral force
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Self-aligning moment
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MF Lateral Parameters
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Trademark |
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MICHELIN |
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Type |
195 65 R 15 |
XZA 11 R 22.5 TL |
225 60 R 16 |
195 50 R 15 |
315 80 R 22.5 |
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Use |
Car |
Heavy truck |
Car |
Car |
Truck |
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Pacejka’s coeff. |
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Fz0 (N) |
3000 |
59308.9210 |
5456.2697 |
6320.1674 |
35224.6985 |
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Phy1 |
0.0037 |
0.1067 |
0.0110 |
-0.0008 |
0.0000 |
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Phy2 |
0.0000 |
0.0909 |
0.0121 |
0.0025 |
0.0346 |
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Phy3 |
0.2500 |
0.2500 |
0.0000 |
0.2500 |
0.2500 |
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Pvy1 |
0.0394 |
-1.0647 |
-0.1579 |
-0.0025 |
0.0035 |
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Pvy2 |
0.0209 |
-0.8720 |
-0.1311 |
-0.1101 |
-0.2431 |
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Pvy3 |
0.1500 |
0.1500 |
0.0000 |
0.1500 |
0.1500 |
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Pvy4 |
0.0000 |
0.0000 |
0.0000 |
0.0000 |
0.0000 |
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Pdy1 |
1.2413 |
-1.4948 |
1.9493 |
0.9043 |
0.8944 |
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Pdy2 |
0.4452 |
-0.3177 |
-0.1298 |
-0.2779 |
0.5746 |
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Pdy3 |
0.0000 |
0.0000 |
0.0000 |
0.0000 |
0.0000 |
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Pcy1 |
1.5138 |
2.2677 |
0.4649 |
1.6538 |
0.9708 |
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Pey1 |
0.3320 |
-5.3766 |
-0.6095 |
-0.7035 |
0.5588 |
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Pey2 |
0.9200 |
5.3542 |
-0.2300 |
-0.9056 |
3.0142 |
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Pey3 |
0.2767 |
7.1689 |
-2.7416 |
0.7615 |
0.0011 |
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Pey4 |
0.0000 |
0.0000 |
0.0000 |
0.0000 |
0.0000 |
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Pky1 |
18.8495 |
55.5705 |
20.8003 |
9.3558 |
17.3024 |
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Pky2 |
2.2602 |
10.0015 |
2.7413 |
1.4214 |
4.4896 |
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Pky3 |
0.0000 |
0.0000 |
0.0000 |
0.0000 |
0.0000 |
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QBz1 |
6.4819 |
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-7.7169 |
4.8609 |
4.2996 |
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QBz2 |
2.9056 |
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0.0754 |
-2.0647 |
9.1699 |
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QBz3 |
4.0722 |
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-0.0066 |
-0.2270 |
9.7035 |
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QBz4 |
0.0000 |
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0.6784 |
0.0000 |
0.0000 |
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QBz5 |
0.0000 |
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-0.3037 |
0.0000 |
0.0000 |
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QBz9 |
0.0000 |
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-0.0009 |
0.0000 |
0.0000 |
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QBz10 |
0.0000 |
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-0.2572 |
0.0000 |
0.0000 |
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QDz1 |
0.0812 |
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0.0804 |
0.1368 |
0.0823 |
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QDz2 |
0.0231 |
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0.0107 |
0.0535 |
-0.0270 |
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QDz3 |
0.0000 |
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0.0485 |
0.0000 |
0.0000 |
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QDz4 |
0.0000 |
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-0.0109 |
0.0000 |
0.0000 |
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QDz6 |
0.0028 |
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-0.0033 |
-0.0036 |
0.0000 |
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QDz7 |
0.0022 |
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0.0062 |
0.0041 |
0.0000 |
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QDz8 |
4.1071 |
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-0.0892 |
0.0000 |
0.0000 |
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QDz9 |
0.9486 |
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0.5027 |
0.0000 |
0.0000 |
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QEz1 |
1.3573 |
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-5.0562 |
3.0220 |
-10.6650 |
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QEz2 |
0.7428 |
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-0.0278 |
0.0000 |
54.7931 |
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QEz3 |
0.8483 |
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-0.5697 |
0.0000 |
-77.0106 |
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QEz4 |
0.4696 |
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1.0669 |
0.0000 |
0.0000 |
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QEz5 |
0.7369 |
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-7.0986 |
0.0000 |
0.0000 |
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QHz1 |
0.0042 |
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0.0032 |
0.0000 |
0.0000 |
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QHz2 |
0.0002 |
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0.0099 |
0.0000 |
-0.1274 |
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QHz3 |
0.6831 |
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0.0499 |
0.0000 |
0.0000 |
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QHz4 |
1.0787 |
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1.3619 |
0.0000 |
0.0000 |
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QBCz1 |
1.8785 |
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1.2507 |
2.3329 |
1.1895 |
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Max load (N) |
4000 |
40000 |
8000 |
7000 |
50000 |
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Slip angle range (deg) |
[-10;10] |
[0;14] |
[-10;10] |
[-12;12] |
[0;11] |
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References |
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Illustration |
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195 65 R 15
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195 50 R 15
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315 80 R 22.5
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