Solid Modeling of Involute Bevel Gears

Abstract

In some cases, when designing modern transmissions, it is not possible to obtain a rational layout of the drive, to increase its load capacity when using traditional gears (cylindrical, bevel, etc.). The use of gears with involute bevel gears (IBG) allows solving this problem. It is possible to form gears for any arrangement of gears axles in space (crossing, intersecting, parallel axes) from IBG. At the same time, gears with IBG will have improved load and layout characteristics with respect to gears from ordinary cylindrical and bevel gears. However, the problem arises for obtaining solid-state models of involute bevel gears when assessing the stress-strain state of gear teeth with IBG. The paper presents a method for generating 3D models of involute bevel gears (IBG) by modeling machine gearing of an IBG and generating rack. The initial data for obtaining the involute bevel wheel model are: the number of teeth z, the module m, the angle δ, the angle of the tool β, the width of the wheel b, the wheel diameter at the greater end of Da, the distance from the larger end to the zero cross-section b0, the parameters of the rack (profile angle, height dimensions, radii of filets on the top and hollow of the tooth). In this case, the parameters of the generating rack can be set at the designer’s request. Models of a straight IBG, helical IBG, and an internal IBG are shown. Models of different involute bevel gearings are demonstrated as an example.