Distinguished with some basic theory and approaches of traditional tooth surface design, the spiral bevel gear with new tooth surface, namely spherical involute tooth surface, is investigated. Firstly, it improved its formational principle based on the spherical involute theory. As a key part, the parametric equation of the generating line was made a detailed derivation. To this end, fast and a...

A practical application of the spherical involute surface to the forged straight bevel gears is provided and demonstrated in this work. Conjugate (pure involute) theoretical surfaces are developed from the input design parameters. The surfaces are modified to suit the actual application (automotive differential). The unloaded (or low load) tooth contact analysis of modified surfaces is performe...

a practical application of the spherical involute surface to the forged straight bevel gears is provided and demonstrated in this work. conjugate (pure involute) theoretical surfaces are developed from the input design parameters. the surfaces are modified to suit the actual application (automotive differential). the unloaded (or low load) tooth contact analysis of modified surfaces is performe...

Based on the comprehensive analysis of previous research about the spiral bevel and hypoid gear, principle of forming spherical involute tooth surface was proposed with the spherical involute that was new theory applied in the field of their modeling. According to precise shape of tooth surfaces, each part of the quick and accurate derivations of the basic parametric equation of the tooth profi...

in this study, a generalization of the theory of involute-evolute curves is presented for ruledsurfaces based on line geometry. using lines instead of points, two ruled surfaces which are offset in the senseof involute-evolute are defined. moreover, the found results are clarified using computer-aided examples

In this thesis we build the parametric mathematical model of machine tool and solid models of traction gears using in subway locomotive by analyzing the machining process of involute gears and meshing principle of involute gears. The optimization design is done through deduce the relations between basic parameters of gear and loading capacity of transmission. On the base of analyzing optimizati...

This paper concentrates on the requirements of being an integral curve for geodesic spray natural lift curves spherical indicatrices timelike-spacelike involute-evolute pair in Lorentz 3-space. In addition, obtained results were supported by one example.

The tooth flanks of bevel gears with involute teeth are still cut using approximations such as Tredgold’s and octoid curves, while the geometry of the exact spherical involute is well known. The modeling of the tooth flanks of gears with skew axes, however, still represents a challenge to geometers. Hence, there is a need to develop algorithms for the geometric modeling of these gears. As a mat...