The Modeling of miniature bevel gearbox Using the Exact Spherical Involute

The solid modeling of miniature bevel gearbox has been recognized as a major design challenge. Various approaches have been proposed to approximate the theoretical involute-generated contact surface of miniature bevel gearbox. As a means to accurately represent contact surfaces of these gears, the exact spherical involute is introduced here. The solid models of straight and spiral bevel gears are obtained by applying simple sweeping techniques to their tooth profiles, which are described by the exact spherical involute. Futhermore, the volumetric properties of the modeled bevel gears are readily computed from their piecewise-linear approximation.

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