Solid Modeling and Finite Element Analysis of Hypoid Gear. A Case Study for Using the Modified Roll.

With the machine setting parameters given, this paper presents a solution to theoretical tooth flanks of hypoid gears manufactured by using a generating motion modification roll. When a pinion is cut separately, a rotation angle is set relative to the blank. And in this study a tooth contact analysis of gear's convex and concave tooth flanks is carried out to determine this angle, from which the position of the pinion's concave surface relative to its convex surface is derived. Furthermore, an accurate geometrical modeling can be achieved from this tooth contact analysis. Solid modeling of hypoid gears is given, and MSC/PATRAN is utilized to analyze the instantaneous three dimensional stress and deformation fields during meshing process of hypoid gears. It is found that the high accuracy of analysis on solid model under the condition of tooth contact is obtained by the method proposed in this paper.