Open AccessMathematical and geometry model of a spherical gear with three degree of freedom
Author(s) -
Demin Wang,
Zhenquan Xu,
Jun Wang,
Xianting Lu,
Baichao Wang,
Junsheng Wang,
Xuzhong Zhang
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/740/1/012010
Subject(s) - involute , bevel gear , spiral bevel gear , geometry , surface (topology) , kinematics , molding (decorative) , spheres , basis (linear algebra) , involute gear , mathematics , physics , engineering , mechanical engineering , classical mechanics , astronomy
This paper proposes a spherical gear pair with three degrees of freedom based on meshing transmission principle. The kinematic meshing relationship between the spherical gear pair is illustrated with its pitch spheres and pitch cones. This determines that the spherical gear surface is completed with two tooth surfaces of ring-involute spherical gear and a semi-spherical bevel gear. Mathematical models and numerical results of the two tooth surfaces are presented for obtaining geometry model of the spherical gear pair with the CAD three-dimensional molding technique. This study provides the basis for future studies to design and analyze a novel spherical gear.