[1] 石伊蓓，「直傘齒輪製造方法介紹」，機械月刊，第三十卷，第十期，第 18-26 頁 (2004)。
[2] C. Hunecke, “The Road Leads Straight to Hypoflex®”, Klingelnberg Sigma Report No.18 (2009)。
[3] 石伊蓓、沈觀葆、馮展華，「六軸電腦數控型傘齒輪創成機開發」，機械月刊，第三十四卷第六期，
第6-25 頁 (2008)。
[4] Y. P.Shih, Z. H.Fong, and G. C. Y. Lin, 2007, “Mathematical Model for a Universal Face Hobbing Hypoid Gear Generator,” ASME Journal of Mechanical Design, 129 (1), pp. 38–47.
20
[5] Y. P.Shih, “Mathematical Model for Face-Hobbed Straight Bevel Gears”, Accepted by ASME J. Mech.
Des.
[6] F. L.Litvin, and Fuentes, A., Gear Geometry and Applied Theory, 2nd edition, Cambridge University Press, New York, NY (2004).
[7] Y. P.Shih, “Flank Correction for Spiral Bevel and Hypoid Gears on a Six-Axis CNC Hypoid Generator.”
Transactions of ASME, Journal of Mechanical Design, Vol.130 /062604-1-10 (2008).
[8] 吳俊霖，「六軸CNC 加工戟齒輪之路徑規劃與電腦模擬」，碩士論文，國立中正大學，嘉義，(2006)。
[9] Q. Fan, R.S. DaFoe, J.W. Swanger, “Higher-Order Tooth Flank Form Error Correction for Face-Milled Spiral Bevel and Hypoid Gears.” ASME Journal of Mechanical Design, 130 (7) (2008) 072601.
[10] Gleason Works, Face Hobbing Development, Rochester, NY 14692-2970, USA, (2000).
[11] FANUC Series 16i/160i/160is-MB, FANUC Series 18i/180i/180is-MB5, FANUC Series 18i/180i/180is-MB Operator’s Manual.
[12] Klingelnberg , P40 Operating Instructions, Bevel Gear Software, Version 03-000en.
21
附錄一 小齒輪 NC 程式
%
O0110(FACE HOB DOUBLE ROLL CYCLE, PINION T16)
(NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY) (PRECISION TRANSMISSION LAB.)
(STOCK 1.mm) (05/04/2012 11:24) M01
N1000(BEGIN POSITION) G80
G21 G40 M36 M41 M43 G54
G01 G90 A88.3334 C0.0000F2000.000 M77
G81 T16 L22 M04 S100 G04 X5.
S200 G04 X5.
S225
G01 G90 X-422.2110 Y-76.5545 F2000.000 B21.3179 F500.000
Z123.7710 F500.000
G01 G90 X-422.2110 Y-76.5545 Z115.4905 F200.000 M01
N2000(*FORMATE CUT*) G01 G90
X-422.2110 Y-76.5545 Z115.4905 F32.484 X-422.2110 Y-76.5545 Z114.9194 F30.628 X-422.2110 Y-76.5545 Z114.3483 F28.772 X-422.2110 Y-76.5545 Z113.7771 F26.916 X-422.2110 Y-76.5545 Z113.2060 F25.059 X-422.2110 Y-76.5545 Z112.6348 F23.203 X-422.2110 Y-76.5545 Z112.0637 F21.347
22
G01 G90
X-422.2110 Y-76.5545 Z111.4783 F19.212 X-422.2110 Y-76.5545 Z110.8930 F17.078 X-422.2110 Y-76.5545 Z110.3076 F14.943 X-422.2110 Y-76.5545 Z109.7222 F12.808 X-422.2110 Y-76.5545 Z109.1369 F10.673 G01 G90
X-422.2110 Y-76.5545 Z108.5302 F10.325 X-422.2110 Y-76.5545 Z107.9235 F9.977 X-422.2110 Y-76.5545 Z107.3167 F9.629 X-422.2110 Y-76.5545 Z106.7100 F9.281 N3000(*GENERATING CUT*)
S225
G01 G90 X-422.2110 Y-76.5545 Z106.7100 B21.3179 F500.000 G01 G91
X0.2817 Y0.1366 Z0.0000 A0.2902 B0.0000 F11.866 X0.2812 Y0.1376 Z0.0000 A0.2902 B0.0000 F12.387 X0.2807 Y0.1386 Z0.0000 A0.2902 B0.0000 F12.908 X0.2802 Y0.1397 Z0.0000 A0.2902 B0.0000 F13.429 X0.2797 Y0.1407 Z0.0000 A0.2902 B0.0000 F13.95 X0.2791 Y0.1417 Z0.0000 A0.2902 B0.0000 F14.472 X0.2786 Y0.1428 Z0.0000 A0.2902 B0.0000 F14.993 X0.2781 Y0.1438 Z0.0000 A0.2902 B0.0000 F15.514 X0.2776 Y0.1448 Z0.0000 A0.2902 B0.0000 F16.035 X0.2770 Y0.1458 Z0.0000 A0.2902 B0.0000 F16.556 X0.2765 Y0.1468 Z0.0000 A0.2902 B0.0000 F17.077 X0.2759 Y0.1479 Z0.0000 A0.2902 B0.0000 F17.598 X0.2754 Y0.1489 Z0.0000 A0.2902 B0.0000 F18.119 X0.2748 Y0.1499 Z0.0000 A0.2902 B0.0000 F18.64 X0.2743 Y0.1509 Z0.0000 A0.2902 B0.0000 F19.161 X0.2737 Y0.1519 Z0.0000 A0.2902 B0.0000 F19.682 X0.2732 Y0.1529 Z0.0000 A0.2902 B0.0000 F20.203 G01 G91
X0.2674 Y0.1510 Z0.0000 A0.2846 B0.0000 F20.724 X0.2668 Y0.1519 Z0.0000 A0.2846 B0.0000 F23.364 X0.2663 Y0.1529 Z0.0000 A0.2846 B0.0000 F26.004 X0.2657 Y0.1538 Z0.0000 A0.2846 B0.0000 F28.643
23
X0.2652 Y0.1548 Z0.0000 A0.2846 B0.0000 F31.283 X0.2646 Y0.1558 Z0.0000 A0.2846 B0.0000 F33.923 X0.2640 Y0.1567 Z0.0000 A0.2846 B0.0000 F36.562 X0.2635 Y0.1577 Z0.0000 A0.2846 B0.0000 F39.202 X0.2629 Y0.1586 Z0.0000 A0.2846 B0.0000 F41.841 X0.2623 Y0.1596 Z0.0000 A0.2846 B0.0000 F44.481 X0.2617 Y0.1605 Z0.0000 A0.2846 B0.0000 F47.121 X0.2612 Y0.1615 Z0.0000 A0.2846 B0.0000 F49.76 X0.2606 Y0.1624 Z0.0000 A0.2846 B0.0000 F52.4 X0.2600 Y0.1633 Z0.0000 A0.2846 B0.0000 F55.04 X0.2594 Y0.1643 Z0.0000 A0.2846 B0.0000 F57.679 X0.2588 Y0.1652 Z0.0000 A0.2846 B0.0000 F60.319 X0.2582 Y0.1661 Z0.0000 A0.2846 B0.0000 F62.958 X0.2576 Y0.1671 Z0.0000 A0.2846 B0.0000 F65.598 X0.2570 Y0.1680 Z0.0000 A0.2846 B0.0000 F68.238 X0.2564 Y0.1689 Z0.0000 A0.2846 B0.0000 F70.877 X0.2558 Y0.1699 Z0.0000 A0.2846 B0.0000 F73.517 X0.2552 Y0.1708 Z0.0000 A0.2846 B0.0000 F76.157 X0.2545 Y0.1717 Z0.0000 A0.2846 B0.0000 F78.796 X0.2539 Y0.1726 Z0.0000 A0.2846 B0.0000 F81.436 X0.2533 Y0.1735 Z0.0000 A0.2846 B0.0000 F84.075 X0.2527 Y0.1745 Z0.0000 A0.2846 B0.0000 F86.715 G01 G91
X0.2520 Y0.1754 Z0.0000 A0.2846 B0.0000 F89.355 X0.2514 Y0.1763 Z0.0000 A0.2846 B0.0000 F94.161 X0.2508 Y0.1772 Z0.0000 A0.2846 B0.0000 F98.968 X0.2501 Y0.1781 Z0.0000 A0.2846 B0.0000 F103.774 X0.2495 Y0.1790 Z0.0000 A0.2846 B0.0000 F108.581 X0.2488 Y0.1799 Z0.0000 A0.2846 B0.0000 F113.388 X0.2482 Y0.1808 Z0.0000 A0.2846 B0.0000 F118.194 X0.2475 Y0.1817 Z0.0000 A0.2846 B0.0000 F123.001 X0.2469 Y0.1826 Z0.0000 A0.2846 B0.0000 F127.807 X0.2462 Y0.1835 Z0.0000 A0.2846 B0.0000 F132.614 X0.2455 Y0.1844 Z0.0000 A0.2846 B0.0000 F137.421 X0.2449 Y0.1852 Z0.0000 A0.2846 B0.0000 F142.227 X0.2442 Y0.1861 Z0.0000 A0.2846 B0.0000 F147.034 X0.2435 Y0.1870 Z0.0000 A0.2846 B0.0000 F151.84 X0.2428 Y0.1879 Z0.0000 A0.2846 B0.0000 F156.647 X0.2422 Y0.1888 Z0.0000 A0.2846 B0.0000 F161.454 X0.2415 Y0.1896 Z0.0000 A0.2846 B0.0000 F166.26
24
X0.2408 Y0.1905 Z0.0000 A0.2846 B0.0000 F171.067 X0.2401 Y0.1914 Z0.0000 A0.2846 B0.0000 F175.873 X0.2394 Y0.1922 Z0.0000 A0.2846 B0.0000 F180.68 X0.2387 Y0.1931 Z0.0000 A0.2846 B0.0000 F185.487 X0.2380 Y0.1940 Z0.0000 A0.2846 B0.0000 F190.293 X0.2373 Y0.1948 Z0.0000 A0.2846 B0.0000 F195.1 X0.2366 Y0.1957 Z0.0000 A0.2846 B0.0000 F199.906 X0.2359 Y0.1965 Z0.0000 A0.2846 B0.0000 F204.713 X0.2352 Y0.1974 Z0.0000 A0.2846 B0.0000 F209.52 S225
G01 G91
X0.0000 Y0.0000 Z-0.5000 F47.9125
X-0.2274 Y-0.1909 Z0.0000 A-0.2752 B0.0000 F47.913 X-0.2281 Y-0.1901 Z0.0000 A-0.2752 B0.0000 F48.131 X-0.2287 Y-0.1893 Z0.0000 A-0.2752 B0.0000 F48.349 X-0.2294 Y-0.1885 Z0.0000 A-0.2752 B0.0000 F48.568 X-0.2300 Y-0.1877 Z0.0000 A-0.2752 B0.0000 F48.786 X-0.2307 Y-0.1869 Z0.0000 A-0.2752 B0.0000 F49.004 X-0.2313 Y-0.1860 Z0.0000 A-0.2752 B0.0000 F49.223 X-0.2320 Y-0.1852 Z0.0000 A-0.2752 B0.0000 F49.441 X-0.2326 Y-0.1844 Z0.0000 A-0.2752 B0.0000 F49.659 X-0.2333 Y-0.1836 Z0.0000 A-0.2752 B0.0000 F49.878 X-0.2339 Y-0.1828 Z0.0000 A-0.2752 B0.0000 F50.096 X-0.2346 Y-0.1820 Z0.0000 A-0.2752 B0.0000 F50.314 X-0.2352 Y-0.1812 Z0.0000 A-0.2752 B0.0000 F50.533 X-0.2358 Y-0.1803 Z0.0000 A-0.2752 B0.0000 F50.751 X-0.2364 Y-0.1795 Z0.0000 A-0.2752 B0.0000 F50.97 X-0.2371 Y-0.1787 Z0.0000 A-0.2752 B0.0000 F51.188 X-0.2377 Y-0.1779 Z0.0000 A-0.2752 B0.0000 F51.406 X-0.2383 Y-0.1770 Z0.0000 A-0.2752 B0.0000 F51.625 X-0.2389 Y-0.1762 Z0.0000 A-0.2752 B0.0000 F51.843 X-0.2395 Y-0.1754 Z0.0000 A-0.2752 B0.0000 F52.061 X-0.2402 Y-0.1745 Z0.0000 A-0.2752 B0.0000 F52.28 X-0.2408 Y-0.1737 Z0.0000 A-0.2752 B0.0000 F52.498 X-0.2414 Y-0.1728 Z0.0000 A-0.2752 B0.0000 F52.716 X-0.2420 Y-0.1720 Z0.0000 A-0.2752 B0.0000 F52.935 X-0.2426 Y-0.1711 Z0.0000 A-0.2752 B0.0000 F53.153 X-0.2432 Y-0.1703 Z0.0000 A-0.2752 B0.0000 F53.371 X-0.2438 Y-0.1694 Z0.0000 A-0.2752 B0.0000 F53.59 X-0.2444 Y-0.1686 Z0.0000 A-0.2752 B0.0000 F53.808
25
X-0.2449 Y-0.1677 Z0.0000 A-0.2752 B0.0000 F54.026 X-0.2455 Y-0.1669 Z0.0000 A-0.2752 B0.0000 F54.245 X-0.2461 Y-0.1660 Z0.0000 A-0.2752 B0.0000 F54.463 X-0.2467 Y-0.1652 Z0.0000 A-0.2752 B0.0000 F54.682 X-0.2473 Y-0.1643 Z0.0000 A-0.2752 B0.0000 F54.9 X-0.2478 Y-0.1634 Z0.0000 A-0.2752 B0.0000 F55.118 X-0.2484 Y-0.1626 Z0.0000 A-0.2752 B0.0000 F55.337 X-0.2490 Y-0.1617 Z0.0000 A-0.2752 B0.0000 F55.555 X-0.2495 Y-0.1608 Z0.0000 A-0.2752 B0.0000 F55.773 X-0.2501 Y-0.1600 Z0.0000 A-0.2752 B0.0000 F55.992 X-0.2506 Y-0.1591 Z0.0000 A-0.2752 B0.0000 F56.21 X-0.2512 Y-0.1582 Z0.0000 A-0.2752 B0.0000 F56.428 X-0.2518 Y-0.1573 Z0.0000 A-0.2752 B0.0000 F56.647 X-0.2523 Y-0.1564 Z0.0000 A-0.2752 B0.0000 F56.865 X-0.2528 Y-0.1556 Z0.0000 A-0.2752 B0.0000 F57.083 X-0.2534 Y-0.1547 Z0.0000 A-0.2752 B0.0000 F57.302 X-0.2539 Y-0.1538 Z0.0000 A-0.2752 B0.0000 F57.52 X-0.2545 Y-0.1529 Z0.0000 A-0.2752 B0.0000 F57.739 X-0.2550 Y-0.1520 Z0.0000 A-0.2752 B0.0000 F57.957 X-0.2555 Y-0.1511 Z0.0000 A-0.2752 B0.0000 F58.175 X-0.2561 Y-0.1502 Z0.0000 A-0.2752 B0.0000 F58.394 X-0.2566 Y-0.1493 Z0.0000 A-0.2752 B0.0000 F58.612 X-0.2571 Y-0.1484 Z0.0000 A-0.2752 B0.0000 F58.83 X-0.2576 Y-0.1475 Z0.0000 A-0.2752 B0.0000 F59.049 X-0.2581 Y-0.1466 Z0.0000 A-0.2752 B0.0000 F59.267 X-0.2586 Y-0.1457 Z0.0000 A-0.2752 B0.0000 F59.485 X-0.2591 Y-0.1448 Z0.0000 A-0.2752 B0.0000 F59.704 X-0.2596 Y-0.1439 Z0.0000 A-0.2752 B0.0000 F59.922 X-0.2601 Y-0.1430 Z0.0000 A-0.2752 B0.0000 F60.14 X-0.2606 Y-0.1421 Z0.0000 A-0.2752 B0.0000 F60.359 X-0.2611 Y-0.1412 Z0.0000 A-0.2752 B0.0000 F60.577 X-0.2616 Y-0.1403 Z0.0000 A-0.2752 B0.0000 F60.795 X-0.2621 Y-0.1394 Z0.0000 A-0.2752 B0.0000 F61.014 X-0.2626 Y-0.1385 Z0.0000 A-0.2752 B0.0000 F61.232 X-0.2631 Y-0.1375 Z0.0000 A-0.2752 B0.0000 F61.451 X-0.2636 Y-0.1366 Z0.0000 A-0.2752 B0.0000 F61.669 X-0.2640 Y-0.1357 Z0.0000 A-0.2752 B0.0000 F61.887 X-0.2645 Y-0.1348 Z0.0000 A-0.2752 B0.0000 F62.106 X-0.2650 Y-0.1339 Z0.0000 A-0.2752 B0.0000 F62.324 X-0.2654 Y-0.1329 Z0.0000 A-0.2752 B0.0000 F62.542 X-0.2659 Y-0.1320 Z0.0000 A-0.2752 B0.0000 F62.761
26
X-0.2664 Y-0.1311 Z0.0000 A-0.2752 B0.0000 F62.979 X-0.2668 Y-0.1301 Z0.0000 A-0.2752 B0.0000 F63.197 X-0.2673 Y-0.1292 Z0.0000 A-0.2752 B0.0000 F63.416 X-0.2677 Y-0.1283 Z0.0000 A-0.2752 B0.0000 F63.634 X-0.2682 Y-0.1273 Z0.0000 A-0.2752 B0.0000 F63.852 X-0.2686 Y-0.1264 Z0.0000 A-0.2752 B0.0000 F64.071 X-0.2691 Y-0.1255 Z0.0000 A-0.2752 B0.0000 F64.289 X-0.2695 Y-0.1245 Z0.0000 A-0.2752 B0.0000 F64.508 X-0.2699 Y-0.1236 Z0.0000 A-0.2752 B0.0000 F64.726 X-0.2704 Y-0.1226 Z0.0000 A-0.2752 B0.0000 F64.944 X-0.2708 Y-0.1217 Z0.0000 A-0.2752 B0.0000 F65.163 X-0.2712 Y-0.1207 Z0.0000 A-0.2752 B0.0000 F65.381 X-0.2716 Y-0.1198 Z0.0000 A-0.2752 B0.0000 F65.599 X-0.2720 Y-0.1188 Z0.0000 A-0.2752 B0.0000 F65.818 X-0.2725 Y-0.1179 Z0.0000 A-0.2752 B0.0000 F66.036 X-0.2729 Y-0.1169 Z0.0000 A-0.2752 B0.0000 F66.254 X-0.2733 Y-0.1160 Z0.0000 A-0.2752 B0.0000 F66.473 X-0.2737 Y-0.1150 Z0.0000 A-0.2752 B0.0000 F66.691 X-0.2741 Y-0.1141 Z0.0000 A-0.2752 B0.0000 F66.909 X-0.2745 Y-0.1131 Z0.0000 A-0.2752 B0.0000 F67.128 X-0.2749 Y-0.1122 Z0.0000 A-0.2752 B0.0000 F67.346 X-0.2753 Y-0.1112 Z0.0000 A-0.2752 B0.0000 F67.565 X-0.2756 Y-0.1102 Z0.0000 A-0.2752 B0.0000 F67.783 X-0.2760 Y-0.1093 Z0.0000 A-0.2752 B0.0000 F68.001 X-0.2764 Y-0.1083 Z0.0000 A-0.2752 B0.0000 F68.22 X-0.2768 Y-0.1073 Z0.0000 A-0.2752 B0.0000 F68.438 X-0.2772 Y-0.1064 Z0.0000 A-0.2752 B0.0000 F68.656 X-0.2775 Y-0.1054 Z0.0000 A-0.2752 B0.0000 F68.875 X-0.2779 Y-0.1044 Z0.0000 A-0.2752 B0.0000 F69.093 X-0.2783 Y-0.1035 Z0.0000 A-0.2752 B0.0000 F69.311 X-0.2786 Y-0.1025 Z0.0000 A-0.2752 B0.0000 F69.53 X-0.2790 Y-0.1015 Z0.0000 A-0.2752 B0.0000 F69.748 X-0.2793 Y-0.1005 Z0.0000 A-0.2752 B0.0000 F69.966 X-0.2797 Y-0.0996 Z0.0000 A-0.2752 B0.0000 F70.185 X-0.2800 Y-0.0986 Z0.0000 A-0.2752 B0.0000 F70.403 X-0.2804 Y-0.0976 Z0.0000 A-0.2752 B0.0000 F70.621 X-0.2807 Y-0.0966 Z0.0000 A-0.2752 B0.0000 F70.84 X-0.2810 Y-0.0956 Z0.0000 A-0.2752 B0.0000 F71.058 X-0.2814 Y-0.0947 Z0.0000 A-0.2752 B0.0000 F71.277 X-0.2817 Y-0.0937 Z0.0000 A-0.2752 B0.0000 F71.495 X-0.2820 Y-0.0927 Z0.0000 A-0.2752 B0.0000 F71.713
27
X-0.2823 Y-0.0917 Z0.0000 A-0.2752 B0.0000 F71.932 X-0.2827 Y-0.0907 Z0.0000 A-0.2752 B0.0000 F72.15 X-0.2830 Y-0.0897 Z0.0000 A-0.2752 B0.0000 F72.368 X-0.2833 Y-0.0887 Z0.0000 A-0.2752 B0.0000 F72.587 X-0.2836 Y-0.0878 Z0.0000 A-0.2752 B0.0000 F72.805 X-0.2839 Y-0.0868 Z0.0000 A-0.2752 B0.0000 F73.023 X-0.2842 Y-0.0858 Z0.0000 A-0.2752 B0.0000 F73.242 X-0.2845 Y-0.0848 Z0.0000 A-0.2752 B0.0000 F73.46 X-0.2848 Y-0.0838 Z0.0000 A-0.2752 B0.0000 F73.678 X-0.2851 Y-0.0828 Z0.0000 A-0.2752 B0.0000 F73.897 X-0.2854 Y-0.0818 Z0.0000 A-0.2752 B0.0000 F74.115 X-0.2857 Y-0.0808 Z0.0000 A-0.2752 B0.0000 F74.334 X-0.2859 Y-0.0798 Z0.0000 A-0.2752 B0.0000 F74.552 X-0.2862 Y-0.0788 Z0.0000 A-0.2752 B0.0000 F74.77 X-0.2865 Y-0.0778 Z0.0000 A-0.2752 B0.0000 F74.989 X-0.2868 Y-0.0768 Z0.0000 A-0.2752 B0.0000 F75.207 X-0.2870 Y-0.0758 Z0.0000 A-0.2752 B0.0000 F75.425 X-0.2873 Y-0.0748 Z0.0000 A-0.2752 B0.0000 F75.644 X-0.2876 Y-0.0738 Z0.0000 A-0.2752 B0.0000 F75.862 X-0.2878 Y-0.0728 Z0.0000 A-0.2752 B0.0000 F76.08 X-0.2881 Y-0.0718 Z0.0000 A-0.2752 B0.0000 F76.299 X-0.2883 Y-0.0708 Z0.0000 A-0.2752 B0.0000 F76.517 X-0.2886 Y-0.0698 Z0.0000 A-0.2752 B0.0000 F76.735 X-0.2888 Y-0.0688 Z0.0000 A-0.2752 B0.0000 F76.954 X-0.2890 Y-0.0678 Z0.0000 A-0.2752 B0.0000 F77.172 X-0.2893 Y-0.0667 Z0.0000 A-0.2752 B0.0000 F77.39 X-0.2895 Y-0.0657 Z0.0000 A-0.2752 B0.0000 F77.609 X-0.2897 Y-0.0647 Z0.0000 A-0.2752 B0.0000 F77.827 X-0.2900 Y-0.0637 Z0.0000 A-0.2752 B0.0000 F78.046 X-0.2902 Y-0.0627 Z0.0000 A-0.2752 B0.0000 F78.264 X-0.2904 Y-0.0617 Z0.0000 A-0.2752 B0.0000 F78.482 X-0.2906 Y-0.0607 Z0.0000 A-0.2752 B0.0000 F78.701 X-0.2908 Y-0.0597 Z0.0000 A-0.2752 B0.0000 F78.919 X-0.2910 Y-0.0586 Z0.0000 A-0.2752 B0.0000 F79.137 X-0.2912 Y-0.0576 Z0.0000 A-0.2752 B0.0000 F79.356 X-0.2914 Y-0.0566 Z0.0000 A-0.2752 B0.0000 F79.574 X-0.2916 Y-0.0556 Z0.0000 A-0.2752 B0.0000 F79.792 X-0.2918 Y-0.0546 Z0.0000 A-0.2752 B0.0000 F80.011 X-0.2920 Y-0.0535 Z0.0000 A-0.2752 B0.0000 F80.229 X-0.2922 Y-0.0525 Z0.0000 A-0.2752 B0.0000 F80.447 X-0.2924 Y-0.0515 Z0.0000 A-0.2752 B0.0000 F80.666
28
X-0.2925 Y-0.0505 Z0.0000 A-0.2752 B0.0000 F80.884 X-0.2927 Y-0.0495 Z0.0000 A-0.2752 B0.0000 F81.103 X-0.2929 Y-0.0484 Z0.0000 A-0.2752 B0.0000 F81.321 N3900
G01 G90 X-445.4272 Y-83.8851 Z115.9905 B21.3179 F500.000 N9000(PROGAM END)
S100 G04 X5.
S10 G04 X5.
G01 G91 Z80.0000 F500.000 M05
M00
G01 G90 B5.0000 F500.000 M42
G80 M30
%
29
附錄二 大齒輪 NC 程式
%
O0161(RING GEAR, FACE HOB DOUBLE ROLL CYCLE, RING GEAR T41) (NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY) (PRECISION TRANSMISSION LAB.)
(STOCK 1.mm) (05/04/2012 11:26) M01
N1000(*BEGIN POSITION*) G80
G21 G40 M36 M41 M43 G54
G90 G01 A34.4716 C0.0000 F1000 M77
G81 T41 L22 M04 S300
G01 G90 X-101.3740 Y-76.5545 F2000.000 B68.6821 F500.000
Z233.9158 F500.000
G01 G90 X-101.3740 Y-76.5545 Z225.6353 F300.000 M01
N2000(*FORMATE CUT*) G01 G90
X-101.3740 Y-76.5545 Z225.0642 F26.561 X-101.3740 Y-76.5545 Z224.4931 F24.951 X-101.3740 Y-76.5545 Z223.9219 F23.341 X-101.3740 Y-76.5545 Z223.3508 F21.732 X-101.3740 Y-76.5545 Z222.7796 F20.122 X-101.3740 Y-76.5545 Z222.2085 F18.512 G01 G90
X-101.3740 Y-76.5545 Z221.6231 F16.661 X-101.3740 Y-76.5545 Z221.0378 F14.81 X-101.3740 Y-76.5545 Z220.4524 F12.959 X-101.3740 Y-76.5545 Z219.8670 F11.107 X-101.3740 Y-76.5545 Z219.2817 F9.256
30
G01 G90
X-101.3740 Y-76.5545 Z218.6750 F8.954 X-101.3740 Y-76.5545 Z218.0683 F8.652 X-101.3740 Y-76.5545 Z217.4616 F8.351 X-101.3740 Y-76.5545 Z216.8548 F8.049 N3000(*GENERATING CUT*)
S300
G01 G90 X-101.3740 Y-76.5545 Z216.8548 B68.6821 F500.000 G01 G91
X0.2782 Y0.1349 Z0.0000 A0.1118 B0.0000 F9.937 X0.2778 Y0.1359 Z0.0000 A0.1118 B0.0000 F10.441 X0.2773 Y0.1369 Z0.0000 A0.1118 B0.0000 F10.944 X0.2768 Y0.1379 Z0.0000 A0.1118 B0.0000 F11.448 X0.2763 Y0.1389 Z0.0000 A0.1118 B0.0000 F11.952 X0.2757 Y0.1399 Z0.0000 A0.1118 B0.0000 F12.455 X0.2752 Y0.1409 Z0.0000 A0.1118 B0.0000 F12.959 X0.2747 Y0.1419 Z0.0000 A0.1118 B0.0000 F13.463 X0.2742 Y0.1429 Z0.0000 A0.1118 B0.0000 F13.967 X0.2737 Y0.1439 Z0.0000 A0.1118 B0.0000 F14.47 X0.2732 Y0.1449 Z0.0000 A0.1118 B0.0000 F14.974 X0.2726 Y0.1459 Z0.0000 A0.1118 B0.0000 F15.478 X0.2721 Y0.1469 Z0.0000 A0.1118 B0.0000 F15.981 X0.2716 Y0.1479 Z0.0000 A0.1118 B0.0000 F16.485 X0.2710 Y0.1489 Z0.0000 A0.1118 B0.0000 F16.989 G01 G91
X0.2641 Y0.1475 Z0.0000 A0.1094 B0.0000 F19.986 X0.2636 Y0.1485 Z0.0000 A0.1094 B0.0000 F22.48 X0.2630 Y0.1494 Z0.0000 A0.1094 B0.0000 F24.973 X0.2625 Y0.1503 Z0.0000 A0.1094 B0.0000 F27.467 X0.2620 Y0.1513 Z0.0000 A0.1094 B0.0000 F29.96 X0.2614 Y0.1522 Z0.0000 A0.1094 B0.0000 F32.454 X0.2609 Y0.1531 Z0.0000 A0.1094 B0.0000 F34.947 X0.2603 Y0.1541 Z0.0000 A0.1094 B0.0000 F37.441 X0.2598 Y0.1550 Z0.0000 A0.1094 B0.0000 F39.934 X0.2592 Y0.1559 Z0.0000 A0.1094 B0.0000 F42.428 X0.2587 Y0.1568 Z0.0000 A0.1094 B0.0000 F44.921 X0.2581 Y0.1578 Z0.0000 A0.1094 B0.0000 F47.415
31
X0.2575 Y0.1587 Z0.0000 A0.1094 B0.0000 F49.908 X0.2570 Y0.1596 Z0.0000 A0.1094 B0.0000 F52.402 X0.2564 Y0.1605 Z0.0000 A0.1094 B0.0000 F54.895 X0.2558 Y0.1614 Z0.0000 A0.1094 B0.0000 F57.389 X0.2553 Y0.1623 Z0.0000 A0.1094 B0.0000 F59.882 X0.2547 Y0.1632 Z0.0000 A0.1094 B0.0000 F62.376 X0.2541 Y0.1641 Z0.0000 A0.1094 B0.0000 F64.869 X0.2535 Y0.1650 Z0.0000 A0.1094 B0.0000 F67.363 X0.2529 Y0.1659 Z0.0000 A0.1094 B0.0000 F69.856 X0.2523 Y0.1668 Z0.0000 A0.1094 B0.0000 F72.35 G01 G91
X0.2511 Y0.1686 Z0.0000 A0.1094 B0.0000 F79.317 X0.2505 Y0.1695 Z0.0000 A0.1094 B0.0000 F83.792 X0.2499 Y0.1704 Z0.0000 A0.1094 B0.0000 F88.266 X0.2493 Y0.1713 Z0.0000 A0.1094 B0.0000 F92.74 X0.2487 Y0.1722 Z0.0000 A0.1094 B0.0000 F97.215 X0.2481 Y0.1731 Z0.0000 A0.1094 B0.0000 F101.689 X0.2475 Y0.1739 Z0.0000 A0.1094 B0.0000 F106.163 X0.2469 Y0.1748 Z0.0000 A0.1094 B0.0000 F110.638 X0.2462 Y0.1757 Z0.0000 A0.1094 B0.0000 F115.112 X0.2456 Y0.1766 Z0.0000 A0.1094 B0.0000 F119.586 X0.2450 Y0.1775 Z0.0000 A0.1094 B0.0000 F124.061 X0.2443 Y0.1783 Z0.0000 A0.1094 B0.0000 F128.535 X0.2437 Y0.1792 Z0.0000 A0.1094 B0.0000 F133.009 X0.2431 Y0.1801 Z0.0000 A0.1094 B0.0000 F137.483 X0.2424 Y0.1809 Z0.0000 A0.1094 B0.0000 F141.958 X0.2418 Y0.1818 Z0.0000 A0.1094 B0.0000 F146.432 X0.2411 Y0.1826 Z0.0000 A0.1094 B0.0000 F150.906 X0.2405 Y0.1835 Z0.0000 A0.1094 B0.0000 F155.381 X0.2398 Y0.1844 Z0.0000 A0.1094 B0.0000 F159.855 X0.2392 Y0.1852 Z0.0000 A0.1094 B0.0000 F164.329 X0.2385 Y0.1861 Z0.0000 A0.1094 B0.0000 F168.804 X0.2378 Y0.1869 Z0.0000 A0.1094 B0.0000 F173.278 S300
G01 G91
X0.0000 Y0.0000 Z-0.5000 F39.7623
X-0.2340 Y-0.1839 Z0.0000 A-0.1076 B0.0000 F39.762 X-0.2346 Y-0.1830 Z0.0000 A-0.1076 B0.0000 F39.985 X-0.2352 Y-0.1822 Z0.0000 A-0.1076 B0.0000 F40.207
32
X-0.2359 Y-0.1814 Z0.0000 A-0.1076 B0.0000 F40.429 X-0.2365 Y-0.1806 Z0.0000 A-0.1076 B0.0000 F40.652 X-0.2371 Y-0.1797 Z0.0000 A-0.1076 B0.0000 F40.874 X-0.2378 Y-0.1789 Z0.0000 A-0.1076 B0.0000 F41.096 X-0.2384 Y-0.1781 Z0.0000 A-0.1076 B0.0000 F41.319 X-0.2390 Y-0.1772 Z0.0000 A-0.1076 B0.0000 F41.541 X-0.2396 Y-0.1764 Z0.0000 A-0.1076 B0.0000 F41.763 X-0.2402 Y-0.1756 Z0.0000 A-0.1076 B0.0000 F41.986 X-0.2409 Y-0.1747 Z0.0000 A-0.1076 B0.0000 F42.208 X-0.2415 Y-0.1739 Z0.0000 A-0.1076 B0.0000 F42.43 X-0.2421 Y-0.1730 Z0.0000 A-0.1076 B0.0000 F42.653 X-0.2427 Y-0.1722 Z0.0000 A-0.1076 B0.0000 F42.875 X-0.2433 Y-0.1713 Z0.0000 A-0.1076 B0.0000 F43.098 X-0.2439 Y-0.1705 Z0.0000 A-0.1076 B0.0000 F43.32 X-0.2445 Y-0.1696 Z0.0000 A-0.1076 B0.0000 F43.542 X-0.2451 Y-0.1688 Z0.0000 A-0.1076 B0.0000 F43.765 X-0.2457 Y-0.1679 Z0.0000 A-0.1076 B0.0000 F43.987 X-0.2462 Y-0.1670 Z0.0000 A-0.1076 B0.0000 F44.209 X-0.2468 Y-0.1662 Z0.0000 A-0.1076 B0.0000 F44.432 X-0.2474 Y-0.1653 Z0.0000 A-0.1076 B0.0000 F44.654 X-0.2480 Y-0.1644 Z0.0000 A-0.1076 B0.0000 F44.876 X-0.2486 Y-0.1636 Z0.0000 A-0.1076 B0.0000 F45.099 X-0.2491 Y-0.1627 Z0.0000 A-0.1076 B0.0000 F45.321 X-0.2497 Y-0.1618 Z0.0000 A-0.1076 B0.0000 F45.543 X-0.2503 Y-0.1610 Z0.0000 A-0.1076 B0.0000 F45.766 X-0.2508 Y-0.1601 Z0.0000 A-0.1076 B0.0000 F45.988 X-0.2514 Y-0.1592 Z0.0000 A-0.1076 B0.0000 F46.21 X-0.2519 Y-0.1583 Z0.0000 A-0.1076 B0.0000 F46.433 X-0.2525 Y-0.1574 Z0.0000 A-0.1076 B0.0000 F46.655 X-0.2530 Y-0.1566 Z0.0000 A-0.1076 B0.0000 F46.877 X-0.2536 Y-0.1557 Z0.0000 A-0.1076 B0.0000 F47.1 X-0.2541 Y-0.1548 Z0.0000 A-0.1076 B0.0000 F47.322 X-0.2547 Y-0.1539 Z0.0000 A-0.1076 B0.0000 F47.544 X-0.2552 Y-0.1530 Z0.0000 A-0.1076 B0.0000 F47.767 X-0.2557 Y-0.1521 Z0.0000 A-0.1076 B0.0000 F47.989 X-0.2563 Y-0.1512 Z0.0000 A-0.1076 B0.0000 F48.211 X-0.2568 Y-0.1503 Z0.0000 A-0.1076 B0.0000 F48.434 X-0.2573 Y-0.1494 Z0.0000 A-0.1076 B0.0000 F48.656 X-0.2578 Y-0.1485 Z0.0000 A-0.1076 B0.0000 F48.879 X-0.2584 Y-0.1476 Z0.0000 A-0.1076 B0.0000 F49.101 X-0.2589 Y-0.1467 Z0.0000 A-0.1076 B0.0000 F49.323
33
X-0.2594 Y-0.1458 Z0.0000 A-0.1076 B0.0000 F49.546 X-0.2599 Y-0.1449 Z0.0000 A-0.1076 B0.0000 F49.768 X-0.2604 Y-0.1440 Z0.0000 A-0.1076 B0.0000 F49.99 X-0.2609 Y-0.1431 Z0.0000 A-0.1076 B0.0000 F50.213 X-0.2614 Y-0.1421 Z0.0000 A-0.1076 B0.0000 F50.435 X-0.2619 Y-0.1412 Z0.0000 A-0.1076 B0.0000 F50.657 X-0.2624 Y-0.1403 Z0.0000 A-0.1076 B0.0000 F50.88 X-0.2629 Y-0.1394 Z0.0000 A-0.1076 B0.0000 F51.102 X-0.2634 Y-0.1385 Z0.0000 A-0.1076 B0.0000 F51.324 X-0.2639 Y-0.1375 Z0.0000 A-0.1076 B0.0000 F51.547 X-0.2643 Y-0.1366 Z0.0000 A-0.1076 B0.0000 F51.769 X-0.2648 Y-0.1357 Z0.0000 A-0.1076 B0.0000 F51.991 X-0.2653 Y-0.1348 Z0.0000 A-0.1076 B0.0000 F52.214 X-0.2658 Y-0.1338 Z0.0000 A-0.1076 B0.0000 F52.436 X-0.2662 Y-0.1329 Z0.0000 A-0.1076 B0.0000 F52.658 X-0.2667 Y-0.1320 Z0.0000 A-0.1076 B0.0000 F52.881 X-0.2671 Y-0.1310 Z0.0000 A-0.1076 B0.0000 F53.103 X-0.2676 Y-0.1301 Z0.0000 A-0.1076 B0.0000 F53.325 X-0.2681 Y-0.1292 Z0.0000 A-0.1076 B0.0000 F53.548 X-0.2685 Y-0.1282 Z0.0000 A-0.1076 B0.0000 F53.77 X-0.2690 Y-0.1273 Z0.0000 A-0.1076 B0.0000 F53.992 X-0.2694 Y-0.1263 Z0.0000 A-0.1076 B0.0000 F54.215 X-0.2698 Y-0.1254 Z0.0000 A-0.1076 B0.0000 F54.437 X-0.2703 Y-0.1245 Z0.0000 A-0.1076 B0.0000 F54.66 X-0.2707 Y-0.1235 Z0.0000 A-0.1076 B0.0000 F54.882 X-0.2711 Y-0.1226 Z0.0000 A-0.1076 B0.0000 F55.104 X-0.2716 Y-0.1216 Z0.0000 A-0.1076 B0.0000 F55.327 X-0.2720 Y-0.1207 Z0.0000 A-0.1076 B0.0000 F55.549 X-0.2724 Y-0.1197 Z0.0000 A-0.1076 B0.0000 F55.771 X-0.2728 Y-0.1188 Z0.0000 A-0.1076 B0.0000 F55.994 X-0.2732 Y-0.1178 Z0.0000 A-0.1076 B0.0000 F56.216 X-0.2737 Y-0.1168 Z0.0000 A-0.1076 B0.0000 F56.438 X-0.2741 Y-0.1159 Z0.0000 A-0.1076 B0.0000 F56.661 X-0.2745 Y-0.1149 Z0.0000 A-0.1076 B0.0000 F56.883 X-0.2749 Y-0.1140 Z0.0000 A-0.1076 B0.0000 F57.105 X-0.2753 Y-0.1130 Z0.0000 A-0.1076 B0.0000 F57.328 X-0.2757 Y-0.1120 Z0.0000 A-0.1076 B0.0000 F57.55 X-0.2760 Y-0.1111 Z0.0000 A-0.1076 B0.0000 F57.772 X-0.2764 Y-0.1101 Z0.0000 A-0.1076 B0.0000 F57.995 X-0.2768 Y-0.1091 Z0.0000 A-0.1076 B0.0000 F58.217 X-0.2772 Y-0.1082 Z0.0000 A-0.1076 B0.0000 F58.439
34
X-0.2776 Y-0.1072 Z0.0000 A-0.1076 B0.0000 F58.662 X-0.2779 Y-0.1062 Z0.0000 A-0.1076 B0.0000 F58.884 X-0.2783 Y-0.1052 Z0.0000 A-0.1076 B0.0000 F59.106 X-0.2787 Y-0.1043 Z0.0000 A-0.1076 B0.0000 F59.329 X-0.2790 Y-0.1033 Z0.0000 A-0.1076 B0.0000 F59.551 X-0.2794 Y-0.1023 Z0.0000 A-0.1076 B0.0000 F59.773 X-0.2798 Y-0.1013 Z0.0000 A-0.1076 B0.0000 F59.996 X-0.2801 Y-0.1004 Z0.0000 A-0.1076 B0.0000 F60.218 X-0.2805 Y-0.0994 Z0.0000 A-0.1076 B0.0000 F60.441 X-0.2808 Y-0.0984 Z0.0000 A-0.1076 B0.0000 F60.663 X-0.2812 Y-0.0974 Z0.0000 A-0.1076 B0.0000 F60.885 X-0.2815 Y-0.0964 Z0.0000 A-0.1076 B0.0000 F61.108 X-0.2818 Y-0.0954 Z0.0000 A-0.1076 B0.0000 F61.33 X-0.2822 Y-0.0945 Z0.0000 A-0.1076 B0.0000 F61.552 X-0.2825 Y-0.0935 Z0.0000 A-0.1076 B0.0000 F61.775 X-0.2828 Y-0.0925 Z0.0000 A-0.1076 B0.0000 F61.997 X-0.2831 Y-0.0915 Z0.0000 A-0.1076 B0.0000 F62.219 X-0.2835 Y-0.0905 Z0.0000 A-0.1076 B0.0000 F62.442 X-0.2838 Y-0.0895 Z0.0000 A-0.1076 B0.0000 F62.664 X-0.2841 Y-0.0885 Z0.0000 A-0.1076 B0.0000 F62.886 X-0.2844 Y-0.0875 Z0.0000 A-0.1076 B0.0000 F63.109 X-0.2847 Y-0.0865 Z0.0000 A-0.1076 B0.0000 F63.331 X-0.2850 Y-0.0855 Z0.0000 A-0.1076 B0.0000 F63.553 X-0.2853 Y-0.0845 Z0.0000 A-0.1076 B0.0000 F63.776 X-0.2856 Y-0.0835 Z0.0000 A-0.1076 B0.0000 F63.998 X-0.2859 Y-0.0825 Z0.0000 A-0.1076 B0.0000 F64.22 X-0.2862 Y-0.0815 Z0.0000 A-0.1076 B0.0000 F64.443 X-0.2865 Y-0.0805 Z0.0000 A-0.1076 B0.0000 F64.665 X-0.2867 Y-0.0795 Z0.0000 A-0.1076 B0.0000 F64.887 X-0.2870 Y-0.0785 Z0.0000 A-0.1076 B0.0000 F65.11 X-0.2873 Y-0.0775 Z0.0000 A-0.1076 B0.0000 F65.332 X-0.2876 Y-0.0765 Z0.0000 A-0.1076 B0.0000 F65.554 X-0.2878 Y-0.0755 Z0.0000 A-0.1076 B0.0000 F65.777 X-0.2881 Y-0.0745 Z0.0000 A-0.1076 B0.0000 F65.999 X-0.2883 Y-0.0735 Z0.0000 A-0.1076 B0.0000 F66.222 X-0.2886 Y-0.0725 Z0.0000 A-0.1076 B0.0000 F66.444 X-0.2888 Y-0.0715 Z0.0000 A-0.1076 B0.0000 F66.666 X-0.2891 Y-0.0704 Z0.0000 A-0.1076 B0.0000 F66.889 X-0.2893 Y-0.0694 Z0.0000 A-0.1076 B0.0000 F67.111 X-0.2896 Y-0.0684 Z0.0000 A-0.1076 B0.0000 F67.333
35
N3900
G01 G90 X-118.9135 Y-82.7569 Z226.1353 B68.6821 F500.000 N9000(PROGAM END)
S5
G04 X100.
S5
G04 X10.
G01 G91 Z50.0000 F500.000 M05
M00
G01 G90 B5.0000 F500.000 M42
G80 M30
%
36
附錄三 小齒輪量測報告
37
38
39
附錄四 大齒輪量測報告
40
41
國科會補助計畫衍生研發成果推廣資料表
日期:2012/07/06
國科會補助計畫
計畫名稱: 面滾式直傘齒輪閉迴路製造方法之研究 計畫主持人: 石伊蓓
計畫編號: 100-2221-E-011-045- 學門領域: 機構與傳動
無研發成果推廣資料
100 年度專題研究計畫研究成果彙整表
計畫主持人：石伊蓓 計畫編號：100-2221-E-011-045- 計畫名稱：面滾式直傘齒輪閉迴路製造方法之研究
其他成果 (無法以量化表達之成 果如辦理學術活動、獲 得獎項、重要國際合 作、研究成果國際影響 力及其他協助產業技 術發展之具體效益事 項等，請以文字敘述填 列。)
無
成果項目 量化 名稱或內容性質簡述
測驗工具(含質性與量性)
0課程/模組
0電腦及網路系統或工具
0教材
0舉辦之活動/競賽
0研討會/工作坊
0電子報、網站
0科 教 處 計 畫 加 填 項
目 計畫成果推廣之參與（閱聽）人數
0國科會補助專題研究計畫成果報告自評表
請就研究內容與原計畫相符程度、達成預期目標情況、研究成果之學術或應用價 值（簡要敘述成果所代表之意義、價值、影響或進一步發展之可能性）、是否適 合在學術期刊發表或申請專利、主要發現或其他有關價值等，作一綜合評估。
1. 請就研究內容與原計畫相符程度、達成預期目標情況作一綜合評估
■達成目標
□未達成目標（請說明，以 100 字為限）
□實驗失敗
□因故實驗中斷
□其他原因 說明：
2. 研究成果在學術期刊發表或申請專利等情形：
論文：□已發表 ■未發表之文稿 □撰寫中 □無 專利：□已獲得 □申請中 ■無
技轉：□已技轉 □洽談中 ■無 其他：（以 100 字為限）
(a) 論文
[1] Shih, Y.-P., ’Mathematical Model for Face-Hobbed Straight Bevel Gears’, Accepted by ASME J. Mech. Des.
(b) 研討會論文
[1]李羿慧、石伊蓓,面滾式直傘齒輪齒面數學模式, 預定投稿於中國機械工程學會 CSME 第 29 屆全國學術研討會, 國立中山大學, 高雄。
[2]黃雅絹、李羿慧、伍志明、石伊蓓, 六軸 CNC 傘齒輪切齒機之面滾式直傘齒輪切製法, 預定投稿於中國機械工程學會 CSME 第 29 屆全國學術研討會, 國立中山大學, 高雄。
3. 請依學術成就、技術創新、社會影響等方面，評估研究成果之學術或應用價 值（簡要敘述成果所代表之意義、價值、影響或進一步發展之可能性）（以 500 字為限）
面滾式加工具有加工速度快、一次性加工且齒面接觸性能較佳等優點，被廣泛的用於螺旋 傘齒輪與戟齒輪的加工，但加工軌跡為延伸外擺線，無法用於直傘齒輪的加工中，本計畫 利用當內擺線基圓半徑為滾動圓半徑的兩倍時，其運動軌跡退化為直線的特性，即可運用 於面滾式直傘齒輪的加工。本計畫使用國科會產學案之六軸 CNC 傘齒輪加工機上進行切削 實驗，為能進行實驗，本計畫規劃面滾式直傘齒輪的加工程序，以撰寫大小齒輪加工 NC 碼，並設計和製造面滾式直傘齒輪的刀具。由加工出的大小齒輪發現，所加工出的軌跡確 實為直線，可以驗證其加工路徑規劃與 NC 碼是正確的。最後經由齒輪量測機測得齒面誤 差量，並利用齒面誤差修正的數學求出刀具參數與機械設定的誤差量。透過本計畫我們建 立了(1)泛用機到六軸機的機械設定數學模式推導(2)六軸機滾齒加工的數學模式(3)齒面 拓樸誤差修正方法(4)面滾式刀具設計和製造，這些技術可以應用到各種齒輪專用機的開 發。