The Mathematical Model of Generating Kinematic for the Worm Face Gear with Modified Geometry

This paper aims to present the mathematical model for the generating kinematic and numerical simulation of worm face gear with simplified geometry. Through simplification we mean that the thread or the tooth profile is trapezoidal in cross section and tooth's flanks angles are symmetrical, in this case 20°. It is highlight the way haw are generated the tooth flanks of the worm face gear by the method of generating kinematics, where is considered that the worm face gears can be replaced, in terms of kinematics, by a gear composed by rack and a worm wheel. The method was exemplified for a worm face gear with Archimedean worm heaving following characteristics: i12 = 47, A = 56 mm, axial module 2.5.Matrix-vector method was used in order to create the model, the results of calculations performed in MATHCAD wererepresented in INVENTOR 2012.