Theory of forming spherical involute tooth surface and its accurate cubic NURBS fitting method

Distinguished from the approximate spherical involute tooth profile has been in a dominant position in the research field of spiral bevel gear, and whose design and processing were based on the local conjugate theory, discussing some research outcomes on recent relevant spherical involute, a theory of forming the spherical involute tooth surface was improved, and key part namely the generating line and its equation were detailed by derived. In addition, fast and accurate solutions of the boundary curves and the tooth profile curve families were done by taking advantage of forming principle of spherical involute tooth surface, and based on advantages of modeling techniques of the cubic NURBS curve and surface in CAD/CAM, spherical involute tooth surface precision fitting was completed. At last, related optimization program associated with constructed NURBS tooth surface in the use of the Skinning method was proposed, and the parameterization of tooth surface data and precise fitting surfaces were accomplished, so as to further improve the accuracy of the tooth surface and provide tooth contact analysis for the data of the tooth surfaces and the basic model. ©, 2015, Central South University of Technology. All right reserved.