Gear number | Knife head radius RT/mm | Maximum value of driven wheel speed/(°)/s) | Minimum value of driven wheel speed/(°)/s) | Average value of driven wheel speed/(°)/s) | Fluctuation coefficient of driven wheel speed/(°)/s) |
1 | 30 | 1 415. 213 | 1 386. 836 | 1 401. 025 3 | 0.020 254 45 |
2 | 40 | 1 416. 261 | 1 386. 389 | 1 401. 325 2 | 0.021 316 97 |
3 | 50 | 1 416. 366 | 1 385. 722 | 1 401. 044 4 | 0.021 872 26 |
4 | 60 | 1 413. 765 | 1 390. 539 | 1 402. 152 0 | 0.016 564 54 |
5 | 70 | 1 410. 329 | 1 396. 523 | 1 403. 426 1 | 0.009 837 35 |
6 | 80 | 1 405. 925 | 1 395. 785 | 1 400. 855 5 | 0.007 238 43 |
7 | 90 | 1 404. 627 | 1 394. 847 | 1 399. 737 5 | 0.006 987 02 |
8 | 100 | 1 404. 562 | 1 396. 622 | 1 400. 592 5 | 0.005 669 03 |
9 | 110 | 1 406. 532 | 1 397. 386 | 1 401. 959 5 | 0.006 524 73 |
10 | 120 | 1 404. 682 | 1 395. 931 | 1 400. 307 1 | 0.006 249 34 |
11 | 130 | 1 409. 561 | 1 399. 256 | 1 404. 408 6 | 0.007 337 61 |
12 | 140 | 1 407. 760 | 1 395. 658 | 1 401. 709 7 | 0.008 633 74 |
13 | 150 | 1 415. 732 | 1 393. 673 | 1 404. 703 0 | 0.015 703 68 |
14 | 160 | 1 413. 519 | 1 389. 249 | 1 401. 384 4 | 0.017 318 59 |
15 | 170 | 1 417. 169 | 1 393. 002 | 1 405. 086 0 | 0.017 199 66 |
16 | 180 | 1 417. 454 | 1 390. 137 | 1 403. 796 1 | 0.019 459 38 |
17 | 190 | 1 418. 493 | 1 386. 985 | 1 402. 739 5 | 0.022 461 76 |
18 | 200 | 1 419. 987 | 1 389. 014 | 1 404. 500 8 | 0.022 052 68 |
In the measurement results in Table 1, a gear pair transmission parameter with a cutterhead radius of RT=100 mm was selected. The reason is that this set of data is relatively stable during the transmission process, and the factors affecting the cutterhead radius are minimized. Therefore, set 7 sets of gear pair parameter data with different tooth widths, and generate gear pair models with different tooth widths through SolidWorks software for kinematics simulation, as shown in Table 2.
Number | Tooth width b/mm | Tooth width b/mm | Number of pinion teeth z1 | Number of teeth of large gear z2 | Knife head radius RT/mm | Pressure angle α (/ °) |
1 | 40 | 4 | 32 | 80 | 100 | 20 |
2 | 50 | 4 | 32 | 80 | 100 | 20 |
3 | 60 | 4 | 32 | 80 | 100 | 20 |
4 | 70 | 4 | 32 | 80 | 100 | 20 |
5 | 80 | 4 | 32 | 80 | 100 | 20 |
6 | 90 | 4 | 32 | 80 | 100 | 20 |
7 | 100 | 4 | 32 | 80 | 100 | 20 |
7 sets of modeling data models are imported into Adams for kinematics simulation, and the software parameter numerical setting refers to the setting of kinematics simulation parameters.