Mech Mach Theory 67:17–31Ĭhen Y-H (2013) Theoretical and experimental investigations on planar tooth internal gear enveloping crown worm drive. Prentice-Hall, Upper Saddle River, NJ, USAĬhen Y-H, Zhang GH, Chen BK, Lou WJ, Li FJ, Chen Y (2013) A novel enveloping worm pair via employing the conjugating planar internal gear as counterpart. McGraw-Hill Book Company Inc., New Yorkīurton P (1979) Kinematics and dynamics of planar machinery. VDI-Verlag, Berlinīuckingham E (1949) Analytical mechanics of gears. Finally, standard and non-standard worm drives and special worm drives are described.Īltmann FG (1932) Schraubengetriebe. ![]() Further consideration on the worm and worm wheel sizing are made and short notes on double-enveloping worm gear pairs are provided. Interference problems related to the outside surface of the worm wheel are then discussed and load analysis of worm gears is performed, defining the thrust characteristics on shafts and bearings and determining their average efficiency. the Schiebel’s method for Archimedean spiral worms and Ingrisch’s method for involute worms. Subsequently, the two well-known graphic-analytical methods of determining the surface of contact are described, i.e. The meshing between worm and worm wheel is then analyzed using the aforementioned concepts of differential geometry, and the instantaneous lines of contact as well as surface of contact are analytically determined. The parametric equations of helicoid surfaces in terms of differential geometry are subsequently determined and the main kinematic quantities of these types of gears are obtained. ![]() ![]() The main geometric quantities of worms and worm wheels are then defined. In this chapter, the geometry of the various types of worms and corresponding worm wheels is first described and short notes about their cutting processes are provided.
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