CAD tool development of end mill parameter design based on DA method
It is given that the problem of computing complexity in end mill design when determines the geometric parameters of end mill, e.g., cutter edge's rake angle and relief angle etc., a method of 3D solid modeling method (called as Direct Analysis, DA) is applied in an end mill CAD package development. The related mathematic formulas of cutter edges are discussed here by which can be used for dynamically creating a 3D cutter with expected geometric parameters by through analyzing end mill geometric parameters, visualizing the process of grinding wheel cutting mill cutter, and then a prototype program for end mill parameter design was developed which it integrates HOOPs 3D display component as supporting module. The main modules' function and relationship of the prototype are discussed as well. It is verified with some historic data that it is feasible to design and chose the optimized parameters during end mill design.
Grinding Wheel Profile Definition for the Manufacture of Drill Flutes
Abstract A purely analytical approach, based on the principles of differential geometry and kinematics, is presented for the solution of the inverse problem for the manufacture of drill flutes. The mathematical relationships established facilitate the determination of the grinding wheel profile for a given radial drill flute cross-section. Examples, generated by an interactive grinding wheel design program, are discussed.
The Undercutting of Circular-Cut Spiral Bevel Gears
Undercutting is a serious problem in designing spiral bevel gears with small numbers of teeth. Conditions of undercutting for spiral bevel gears vary with the manufacturing methods. Based on the theory of gearing [1], the tooth geometry of the Gleason type circular-cut spiral bevel gear is mathematically modeled. The sufficient and necessary conditions for the existence and regularity of the generated gear tooth surfaces are investigated. The conditions of undercutting for a circular-cut spiral bevel gear are defined by the sufficient conditions of the regular gear tooth surface. The derived undercutting equations can be applicable for checking the undercutting conditions of spiral bevel gears manufactured by the Gleason Duplex Method, Helical Duplex Method, Fixed Setting Method, and Modified Roll Method. An example is included to illustrate the application of the proposed undercut checking equations.