Abstract

Abstract This paper derives the generalized expression of surface equation for cylindrical, conical, and hyperbolic meshing elements. Based on the generalized equation of meshing elements, generalized mathematical expressions of surface geometry for roller gear cams with cylindrical, conical, and hyperbolic meshing elements are derived by theory of conjugate surfaces, differential geometry, and coordinate transformation. Design examples are given. The result of this work is of necessary for the computer-aided design and manufacturing roller gear cams for industrial applications.

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