Comparative analysis of numerical methods for the determination of contact pattern of spiral bevel gears

Purpose This paper presents a comparison of numerical methods for determining the contact pattern of Gleason-type bevel gears. The mathematical model of tooth contact analysis as well as the Finite Element Method were taken into consideration. Conclusions have been drawn regarding the usefulness of the considered methods and the compatibility of results. The object of the analysis was a bevel gear characterized by a 18:43 gear ratio, arc tooth line and manufactured according to the SGM (Spiral Generated Modified-roll) method. Design/methodology/approach The mathematical model of tooth contact analysis consists of both the mathematical model of tooth generating and the mathematical model of operating gear set. The first model is used to generate tooth flanks of the pinion and the ring gear in the form of grids of points. Then such tooth surfaces are used for the tooth contact analysis performed with the other model. It corresponds to the no-load gear meshing condition. The FEM model was built on the basis ...

[1]  Vilmos Simon.  Design and Manufacture of Spiral Bevel Gears With Reduced Transmission Errors , 2009 .

[2]  Vilmos Simon,et al.  Computer simulation of tooth contact analysis of mismatched spiral bevel gears , 2007 .

[3]  Qi Fan,et al.  Enhanced Algorithms of Contact Simulation for Hypoid Gear Drives Produced by Face-Milling and Face-Hobbing Processes , 2007 .

[4]  Andrey Volkov,et al.  Algorithms for analysis of meshing and contact of spiral bevel gears , 2007 .

[5]  Adam Marciniec,et al.  Method of spiral bevel gear tooth contact analysis performed in CAD environment , 2013 .

[6]  Ahmet Kahraman,et al.  A load distribution model for hypoid gears using ease-off topography and shell theory , 2009 .

[7]  Jacek Pacana,et al.  APPLICATION DEVELOPMENT FOR ANALYSIS OF BEVEL GEARS ENGAGEMENT USING FEM , 2015 .

[8]  J. Pisula,et al.  Metoda hybrydowa tworzenia modelu 3D-CAD stożkowego koła zębatego o kołowo-łukowej linii zęba , 2014 .

[9]  Alfonso Fuentes,et al.  Computerized integrated approach for design and stress analysis of spiral bevel gears , 2002 .

[10]  Faydor L. Litvin,et al.  Computerized design of low-noise face-milled spiral bevel gears , 1994 .

[11]  Ahmet Kahraman,et al.  An Ease-Off Based Optimization of the Loaded Transmission Error of Hypoid Gears , 2010 .

[12]  Jadwiga Pisula,et al.  Guidelines for the development of the quality of aircraft bevel gears , 2015 .

[13]  Jadwiga Pisula.  A mathematical model for designing tooth surfaces in spiral bevel gears and gear meshing analysis , 2017 .

[14]  Darle W. Dudley,et al.  Handbook of Practical Gear Design , 1984 .

[15]  Ahmet Kahraman,et al.  A General Approach to Locate Instantaneous Contact Lines of Gears Using Surface of Roll Angle , 2011 .

[16]  Massimo Guiggiani,et al.  Optimization of the Loaded Contact Pattern in Hypoid Gears by Automatic Topography Modification , 2009 .