Table 3.
Contact information and relative errors under polyhedron-polyhedron contact condition.
| Contact condition | Calculation method | Contact information | ||
|---|---|---|---|---|
| Contact point (x, y,z) | Contact normal (x, y,z) | Contact depth/mm | ||
| Face-face | CAD calculation (exact value) | (1.9658, 344.3764, 21.7791) | (0,− 1,0) | − 8.3549 |
| Algorithm calculation (value) | (1.72264,344.376,21.7791 | (− 0.00128823, − 0.999662,0.0259485) | − 9.60391 | |
| Absolute difference | (− 0.24316, − 0.0004,0.0) | (− 0.00128823,0.000338,0.0259485) | − 1.244901 | |
| Deviation/angle | 0.2432 | 0.07° | − 1.244901 | |
| Relative error | (12.37%,0.00012%,0) | 0.078% | 14.9% | |
| Point-face | CAD calculation (exact value) | (30.1605, 349.1939,21.7791) | (0.9725, − 0.2327,0.0000) | − 10.4212 |
| Algorithm calculation (value) | (34.3049,378.481,20.7916) | (0.97879, − 0.239664, − 0.00130589) | − 11.1205 | |
| Absolute difference | (4.1444,29.2871, − 0.9875) | (− 0.00629, − 0.006946, − 0.00130589) | − 0.6993 | |
| Deviation/angle | 29.5954 | 0.3° | − 0.6993 | |
| Relative error | (13.74,8.39%,4.53%) | 2.23% | 6.71% | |
| Point-point | CAD calculation (exact value) | (28.1974, 349.7175,21.7791) | (0.9973, − 0.0735,0.0000) | − 15.4043 |
| Algorithm calculation (value) | (26.2242,346.13, 21.1263) | (0.986371, − 0.064451, − 0.00536442) | − 17.4576 | |
| Absolute difference | (− 1.9732, − 3.5874, − 0.6528) | (− 0.010929, 0.009049, − 0.00536442) | − 2.0533 | |
| Deviation/angle | 4.1460 | 0.47° | − 2.0533 | |
| Relative error | (6.70%,1.03%,2.30%) | 11.14% | 13.33% | |