Analysis on Tooth Profile Comparison and Contact Characteristics of Beveloid Gear

Abstract

It takes distinguishing the two beveloid tooth surface as starting point and compares the differences of tooth profile from some aspects, such as forming process, sectional profile and the shape of the contact line. According to the tilting processing principles of the rack cutter and slotting cutter, the author analyzes whether the outline of the beveloid gear's transverse plane is involute, and makes definition of the involute and non-involute beveloid tooth surface; and in the same coordinate system, the author establishes mathematical model of the cutter envelope beveloid tooth surface. Though describing the relationship between the parameter, corner and displacement distance of the cutter tooth surface, the author uses the methods of vector transformation and mesh equation, and expresses the vector transformation of the beveloid tooth surface; and compares the differences of transverse plane and normal plane of gear along the normal direction, and the results of numerical calculations show that the two kinds of beveloid gears are so similar that can replace each other; what's more, the author discusses shape of the beveloid tooth surface's contact line, studies the formation principle of cutter tooth surface's point contact and the flow track, and has supplementary instruction about the differences of the two kinds of beveloid gears.