Integrity of grinding face-gear with worm wheel

Abstract

Aiming at the issue of the grinding integrity of face-gear with worm wheel, the envelope mathematical model of shaper, worm wheel and face-gear is established based on theories of differential geometry and gear mesh. The judgment of completely grinding the face-gear with the avoidance of singularities is established, and the mathematical expression to show the reason why singularities appear is derived, through the research on the surface contact area and singularity rules of the worm thread surface. The disadvantage of current face-gear grinding method that only part of the working surface of the face-gear can be covered is analyzed and the influence of coefficient of judgment is studied through changing the design parameters.

Keywords

face-gear / surface contact area / singularity of worm / integrity of tooth surface

References

[1] LitvinF L. Application of face gear drives in helicopter transmissions [J]. Transaction of the ASME, Journal of Mechanical Design, 1994, 116: 672-676

[2] HeathG F, FillerR R, TanJ. Development of face gear technology for industrial and aerospace power transmission [R]. NASA Contactor Report, 211320, 2002

[3] LitvinF L, HsiaoC L. Computerized simulation of generation of internal involute gears and their assembly [J]. Transactions of ASME, Journal of Mechanical Design, 1994, 116: 683-689

[4] LitvinF L, ChenY D, HeathG F, ChenNApparatus and method for precision grinding face gear: US, 2000

[5] LitvinF L, FuentesA, ZanziC, PontiggiaM, HandschuhR F. Face gear drive with spur involute pinion: geometry, generation by a worm, stress analysis [J]. Computer Method in Applied Mechanics and Engineering, 2002, 191(25/26): 2785-2813

[6] LitvinF L, EgeljaA, TanJ, HeathG. Computerized design, generation and simulation of meshing of orthogonal offset face gear drive with a spur involute with localized bearing contact [J]. Mechanism and Machine Theory, 1998, 22(1/2): 87-112

[7] LitvinF L, NavaA, FanQ, FuentesA. New geometry of face worm gear drives with conical and cylindrical worms: generation, simulation of meshing, and stress analysis [J]. Computer Methods in Applied Mechanics and Engineering, 2002, 191: 3035-3054

[8] LitvinF L. Design, generation and stress analysis of face-gear drive with helical pinion [J]. Computer Methods in Applied Mechanics and Engineering, 2005, 194: 3870-3901

[9] LitvinF L, IgnacioG P, KenjiY, LitvinF L, Gonzalez-PerezI, YukishimaK, FuentesA, HayasakaK. Design, simulation of meshing, and contact stresses for an improved worm gear drive [J]. Mechanism and Machine Theory, 2007, 42: 940-959

[10] LitvinF L, Gonzalez-PerezI, FuentesA, HayasakaK. Design and investigation of gear drives with non-circular gears applied for speed variation and generation of functions [J]. Computer Methods in Applied Mechanics and Engineering, 2008, 197: 3783-3802

[11] BeelK, FisherD, RussellA, FolprechtGFace gear manufacturing method and apparatus: US, 2002

[12] TanJTool and method for precision grinding of conical face gear that meshes with a conical involute pinion: US, 2003

[13] GaoJ-z, ZhuR-p, LiZ-m-qing. Research on singularities of base worm thread surface for hobbing or grinding face gear [J]. Journal of Aerospace Power, 2011, 26(10): 2394-2400

[14] WangY-z, WuC-h, GeX-y, ZhangLi. Basal worm-designing method of face-gear hob [J]. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(2): 166-169

[15] ZhaoN, GuoH, FangZ-d, ShenY-bo. Theory error of cutting face gears with sphericity hob [J]. Journal of Aerospace Power, 2009, 24(3): 677-682

[16] TangJ-y, YinF, ChenX-ming. The principle of profile modified face-gear grinding based on disk wheel [J]. Mechanism and Machine Theory, 2013, 70: 1-15

[17] LitvinF L, GuoK, YeL-y, FanLinGear geometry and applied theory [M], 2008ShanghaiScience and Technology Press