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Abstract

The development of shifted spherical involute bevel gear will lead to increased flexibility and convenience in the design of the cross-axis gear system. The shifted spherical involute bevel gear is identified by the axis angle change between the crown rack and work piece. The new design formula for the shifted spherical involute bevel gear pair was derived mathematically from the condition that the arc length sum of the pinion and gear base cones is same as that of the disk of action. Using the formula, it was shown that a bevel gear pair can fit the design requirements with great flexibility. The gear transmission error of the designed and CNC processed gear pair was directly measured to experimentally verify its validity.

Keywords

Shifted spherical involute bevel gear design formula gear transmission error crown rack flexibility

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Derivation of design formula for a shifted spherical involute bevel gear pair

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