A Range of Involute (Evolute) Transformation Model of Gear Characteristic Curve under Scroll Coordinate System

Abstract

By tangent and normal use of the circle scroll coordinate system is defined. Through regular, long pieces, short pieces of involute (evolute) process analysis, a range of involute (evolute) transformation model is established to achieve the high degree unity of a rectangular coordinate curves and polar coordinates (rotation) curve. For the practical application of engineering technology, the paper presented a method of continuous circular gear tooth profile curve, non-circular section of the conjugate gear involute curve rate curve for the rectangular coordinate, providing an effective way for the research of the rotation curve and the design of gear transmission.