Tooth flanks of bevel gears based on spherical involute ensure ideal meshing – maintaining a constant ratio of rotational speeds. In the industry, tooth flanks are approximated with the circle involute instead of the spherical involute because of less complex manufacturing. Even though the manufacturing technologies have rapidly developed recently, spherical involute is not widely used because calculation programs do not support the geometry. This work presents an approach to the design of complete geometry of bevel gears with spherical involute and shows a way of implementation into calculation programs. A geometrical model is developed, which generates the surfaces of the gear pair. This work also aims to show the differences between gears with circle and spherical involute; hence the surface models are evaluated. Results have shown that, in the case of spherical involute, the contact pattern area is larger at all meshing positions and that there is no significant difference when comparing specific sliding.
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