Abstract
According to the principle of spherical involute generation, the mathematical model of skew spiral bevel gear tooth flank is derived, according to the mathematical model of the tooth flank, a solid model of the bevel gear is constructed, and then the meshing equation is derived by regulation that the relative motion velocity vector is perpendicular to the common normal line at the meshing point for a pair of gears. Finally, the contact line of skew spiral bevel gears meshing is analyzed, and the relative relationship between the meshing contact line and the tooth flank generation line are derived to provide a theoretical model for design, machining and assembly of gear.
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