This work presents a novel concept of elementary planetary gear trains such that the tooth-profiles of the planet gear are generalized meshing elements. The pitch radius is kinematically replaced by the distance between the gear centre and the tooth centre. A program is developed to solve the conjugate surface equations, and to show the solid model of the proposed elementary planetary gear trains. This approach can be applied to design the elementary planetary gear trains in which the planet gear has cylindrical, conical, or hyperbolic tooth-profiles.
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