Abstract

Precise machining spiral bevel gear (SBGs) on Numerical Control (NC) machine tools has attracted much research attention. This paper presents a new precise SBGs CAD/CAM model with Loop subdivision algorithm. The involute surfaces for spiral bevel gears and pinions are first modelled with parametric surfaces. From them and a set of parameters, an initial mesh model is created for gear surfaces. This mesh model is then used as a base for a subdivision surface. The precision of subdivision surfaces can be exactly controlled by a subdivision process which can generate enough machining points on the designed tooth surface model. As a result, all meshing points of the tooth surface for a pair of gear and pinion can be applied on NC machines for higher-precision surface manufacturing. This novel SBGs CAD/CAM modelling method has been evaluated with precision. The precise model could be extended to hypoid gear and other complex surface design.

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