A generalized space curve meshing equation for arbitrary intersecting gear

Abstract

This article derives the space curve meshing equations for arbitrary intersecting gear mechanism, which could achieve continuous and smooth transmission between arbitrary angle intersecting axes, and then establishes the central curves equations of the driving and driven tines on the basis of space curve meshing equations. According to the equations, a calculation example is given and material prototype samples are made to experimentally validate the kinematic performance. The result shows that if the central curve of the driving tine is a circular helix, the central curve of the driven tine is close to a conical helix. This article will supply a basic theory for the application of the arbitrary intersecting gear mechanism in various areas.