A Method of the High-close-order Gear Construction and Its Characteristics

Abstract

This paper introduces the piecewise involute method to construct the High-order-close gear tooth profile. Also, parameter equation of the gear profile is obtained. Based on this method, it is proved that the profile curve is fourth-order derivative and continuous at connection points. It indicates that the curvature radius curvature and the Hertz contact stress mutation among the tooth profile won’t occur at the connecting points. The ranges of the initial parameters used to construct the gear are obtained based on the principles of the involute gear parameter standard. At last, a sequence of adequate parameters is selected to complete the solid model construction of the gear which finally achieve the concave-convex meshing form and the gear meshing behavior is analyzed.