Abstract
Teeth geometry and contact pressure calculation of external cycloidal gears
Highlights
The mathematical model of convex-concave gearing is the basis of the geometry model calculation and as described in detail in [1]
The centres of the arcs Skh and Skd, which lie on the common link passing through the contact inflection point C, are defined by the coordinates xSkh, ySkh and xSkd, ySkd in the coordinate system with the origin located in contact point C
The cycloidal teeth can generally be understood as any teeth whose tooth flank forms a curve with a convex and a concave part
Summary
The mathematical model of convex-concave gearing is the basis of the geometry model calculation and as described in detail in [1]. The determination of the geometric parameters in the gear’s teeth flanks is based on the equations evaluated from the shape of the path of contact. The arcs of the path of contact are circular arcs defined by their radii rkh for the upper one and rkd for the lower one. Points A and E are limiting points of the teeth gear mesh. Their position can be projected onto the teeth flanks’ cycloidal curves in both meshing gears, which limits the working area of the teeth flanks [2, 3]
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