1 Introduction
2 Principle of the Measurement
3 Construction of Measurement Prototype
4 Data Acquisition and Processing
4.1 Acquisition of the Data
4.2 Recognition of the Tooth Roots
4.3 Calculation of the Dimensional Change
5 Experimental Results and Discussions
5.1 Calculation Result
i
| θi (rad) | Δθi (rad) |
i
| θi (rad) | Δθi (rad) |
i
| θi (rad) | Δθi (rad) |
---|---|---|---|---|---|---|---|---|
1 | 0.075 | 0.131 | 17 | 2.174 | 0.131 | 33 | 4.262 | 0.130 |
2 | 0.206 | 0.131 | 18 | 2.305 | 0.130 | 34 | 4.392 | 0.131 |
3 | 0.337 | 0.132 | 19 | 2.435 | 0.130 | 35 | 4.523 | 0.131 |
4 | 0.469 | 0.131 | 20 | 2.565 | 0.130 | 36 | 4.654 | 0.131 |
5 | 0.601 | 0.131 | 21 | 2.695 | 0.131 | 37 | 4.785 | 0.132 |
6 | 0.732 | 0.131 | 22 | 2.827 | 0.131 | 38 | 4.916 | 0.132 |
7 | 0.863 | 0.131 | 23 | 2.958 | 0.131 | 39 | 5.048 | 0.131 |
8 | 0.993 | 0.131 | 24 | 3.089 | 0.131 | 40 | 5.179 | 0.131 |
9 | 1.124 | 0.131 | 25 | 3.220 | 0.130 | 41 | 5.309 | 0.131 |
10 | 1.255 | 0.132 | 26 | 3.349 | 0.130 | 42 | 5.441 | 0.132 |
11 | 1.387 | 0.132 | 27 | 3.480 | 0.130 | 43 | 5.573 | 0.132 |
12 | 1.519 | 0.131 | 28 | 3.610 | 0.130 | 44 | 5.705 | 0.132 |
13 | 1.651 | 0.130 | 29 | 3.740 | 0.130 | 45 | 5.836 | 0.131 |
14 | 1.781 | 0.131 | 30 | 3.870 | 0.131 | 46 | 5.967 | 0.131 |
15 | 1.911 | 0.131 | 31 | 4.001 | 0.131 | 47 | 6.098 | 0.130 |
16 | 2.043 | 0.131 | 32 | 4.132 | 0.130 | 48 | 6.228 | 0.130 |
5.2 Results of Joint Least Squares Fitting
Section | Offset | Crest circle radius | Root circle radius |
---|---|---|---|
c (mm) | r1 (mm) | r2 (mm) | |
1 | 0.0127 ± 0.0005 | 24.8831 ± 0.0006 | 23.0695 ± 0.0003 |
2 | 0.0156 ± 0.0003 | 24.8867 ± 0.0006 | 23.0657 ± 0.0005 |
3 | 0.0183 ± 0.0013 | 24.8905 ± 0.0005 | 23.0602 ± 0.0006 |
4 | 0.0257 ± 0.0007 | 24.8958 ± 0.0009 | 23.0509 ± 0.0005 |