Geometric design and analysis of face-gear drive with involute helical pinion

Abstract Entire tooth surface precise modeling and systematic analysis method for face-gear drives with an involute helical pinion are investigated. A modified imaginary shaper is mathematically modeled as the geometric design tool. The entire tooth surface of the face gear is determined analytically as the envelope to the family of imaginary shaper tooth surface. A practical method to determine the minimum and maximum radii of the face gear is developed. Addendum modification of the face gear is implemented mathematically based on the modified imaginary shaper to improve face-gear tooth-top thickness. Conical modification of the pinion is proposed to avoid contact between face-gear tooth-root fillet and the pinion tooth. Transverse pressure angle modification of the pinion is also proposed to avoid edge contact arising at inner-end and outer-end edges of face-gear tooth. Finite element models with nine pairs of teeth are employed for 3D contact finite element analysis to investigate the basic characteristics of face-gear drives, including meshing and tooth contact analysis, contact and bending stress analysis, contact ratio, transmission error, mesh stiffness, and sensitivity test. The helical face-gear drive is sensitive to rotation direction and shaft angle error. The presented geometric design method is illustrated and validated by numerical examples and trial manufacture.

[1]  L. V. Mohan,et al.  CAD approach for simulation of generation machining and identification of contact lines , 2004 .

[2]  Faydor L. Litvin,et al.  Design, generation and stress analysis of face-gear drive with helical pinion , 2005 .

[3]  Jinyuan Tang,et al.  Loaded multi-tooth contact analysis and calculation for contact stress of face-gear drive with spur involute pinion , 2013 .

[4]  Alfonso Fuentes,et al.  Design, generation and TCA of new type of asymmetric face-gear drive with modified geometry , 2001 .

[5]  朱如鹏,et al.  Influence of Setting Error of Tool on Tooth Profile and Contact Point of Face Gear Drive , 2014 .

[6]  Dong Zeng,et al.  Pitch deviation measurement and analysis of curve-face gear pair , 2016 .

[7]  Sandro Barone,et al.  Evaluation of the effect of misalignment and profile modification in face gear drive by a finite element meshing simulation , 2004 .

[8]  Chao Lin,et al.  Analysis of tooth contact and transmission errors of curve-face gear , 2017 .

[9]  Le Zhang,et al.  Manufacturing Process for a Face Gear Drive With Local Bearing Contact and Controllable Unloaded Meshing Performance Based on Ease-Off Surface Modification , 2016 .

[10]  Feng Xianzhang,et al.  Precise modeling of arc tooth face-gear with transition curve , 2013 .

[11]  Yanzhong Wang,et al.  Precision grinding technology for complex surface of aero face-gear , 2016 .

[12]  Hui Guo,et al.  A CNC grinding method and envelope residual model for face gear , 2015 .

[13]  Faydor L. Litvin,et al.  Integrated computer program for simulation of meshing and contact of gear drives , 2000 .

[14]  Faydor L. Litvin,et al.  Design, generation, and stress analysis of two versions of geometry of face-gear drives , 2002 .

[15]  Claudio Zanzi,et al.  Application of modified geometry of face gear drive , 2005 .

[16]  Dawei Liu,et al.  Transmission principle and geometrical model of eccentric face gear , 2017 .

[17]  Faydor L. Litvin,et al.  Design and Geometry of Face-Gear Drives , 1992 .

[18]  Jinyuan Tang,et al.  The principle of profile modified face-gear grinding based on disk wheel , 2013 .

[19]  Z.-H. Fong,et al.  Novel profile modification methodology for moulded face-gear drives , 2007 .

[20]  Xin Jin,et al.  Geometrical model and tooth analysis of undulating face gear , 2015 .

[21]  Robert G. Parker,et al.  Nonlinear Dynamics of Planetary Gears Using Analytical and Finite Element Models , 2007 .

[22]  Faydor L. Litvin,et al.  Computerized design, generation and simulation of meshing and contact of face worm-gear drives , 2000 .

[23]  Yanzhong Wang,et al.  An efficient honing method for face gear with tooth profile modification , 2017 .

[24]  Didier Remond,et al.  Face Gear Width Prediction Using the DOE Method , 2007 .

[25]  Hongzhi Yan,et al.  Mathematical modeling and machining parameter optimization for the surface roughness of face gear grinding , 2017 .