Research On Cutting Theory Of Helical Bevel Gear With Spherical Involute

Spiral bevel gears in existence is introduces this paper, and theory of the tooth surface shaping is analyzed. Products with two technological generations were designed by American Corp. Gleason. Its machine tool of bevel gear is described in this paper, especially for the transmission structure. Olinkon bevel gear and its gear cutting consideration are also described in this paper after analyzing extended epicycloid bevel gear. In principle, theoretical error exists in tooth mesh. The mesh surfaces of Gleason and Olinkon bevel gear are similar to conjugate surfaces. To get the conjugate surface with low deviation, lots of literatures about bevel gear introduce formula derivation of one-order surface two-order surface. Transmission error cannot be avoided for approximate design in tooth surface in principle. Function relationship of tooth surface is complex, so cutting tooth achieves difficultly according the relationship.Tooth surface of bevel gear with spherical involute is involute helicoid of cone. And taper involute helicoid is made up of several spherical involutes with different radius. Bevel gear with spherical involute owns invariable instantaneous transmission ratio. Contact operating form of conjugate surface is line contact. This paper put forward helical bevel gear with spherical involute. Tooth trace in plane Q is a diagonal, and base cone and plane Q keep pure rolling. So geometric locus generated by diagonal is a ruled helicoids. We can get one pair of base cones by pitch angle and pressure angle. The crossed axes angle of base cones is 90 degrees. In space plane Q and two base cones are tangent. Plane Q keeps pure rolling with every base cone. Geometric locus of diagonal in plane Q is conjugate involute helicoid of cone. Diagonal is determined by helix angle and facewidth. Helical bevel gear with spherical involute meshed correctly. It is validated by Matlab. Gear model is established in Catia. To validate contact operating form of conjugate surface, a pair of gears is assembled correctly. And acting force on tooth surfaces is also deduced.This paper introduces involute gear cutting on the tracing line. It is applied to cutting helical bevel gear with spherical involute by disk milling cutter. According to character of involute helicoid, this paper put forward different plans of cutting. Bevel gear's cutting is achieved by workpiece and disk milling cutter's four axle linkages. After changing edge's rotating center, movements of right-hand and left-hand helical bevel gears'right and left tooth surfaces are deduced.This paper introduces transmission of machine tool in detail. Fixed coordinate system and relative coordinate system of the machine tool are defined. The model of Machine tool is established in Catia. This paper deduces cutting process of one tooth surface and the parameters of every axes.The model of Machine tool and disk milling cutter is established in Catia. Model is converted by Simdesigner, after that model can be opened in Adams. In Adams drive of every axes are defined by formula of movement. Involute helicoid of cone is cut through movement of disk milling cutter workpieceKey methods, machine tool and processing technic of helical bevel gear with spherical involute are proved in this paper. The Patent Declared had be vended in China Invention Patent. The title of the patent is Machine Tool and Gear Cutting Consideration of Bevel gear. The number of the patent is 200910217972.5. The first examination reports of State Intellectual Property Office has passed six claim of rights. For the limited time of machine tool's manufacture, the machine tool which designed in this paper are still assembled. After that, the experiment of cutting gear will be achieved.