| dc.description.abstract | This paper, based on the cutting methods of the ZA, ZN, ZI, ZK, and ZC types of worm gears, derives mathematical models for the tooth profiles of these five types of worm gears using the principles of gears and differential geometry theory. Through these mathematical models for the worm gear tooth profiles, and in conjunction with the cutting mechanism relationships and meshing equations of whirling milling tools, mathematical models for the tooth profiles of the five types of whirling milling tools are established. The tool profiles are fitted using the established whirling milling tool mathematical models, and finally, mathematical models for the tooth profiles of the five types of worm gears are developed through the cutting mechanism relationships and meshing equations.
To conduct the whirling milling cutting simulation, a machine model for whirling milling is initially created using Solidworks. This machine model is then imported into VERICUT software for configuring the relative motion relationships between various axes. Subsequently, the designed whirling milling tool is placed within a tool ring fixture. The NC program, as per the actual machining paths, is executed by Controller 840 D for the simulation. Ultimately, this process results in obtaining three-dimensional models of the five types of cyclone-milled worm gears. These models are then used for axial cross-sectional tooth profile comparisons between the five types and theoretical worm gears, verifying the accuracy of the procedures and derivations. | en_US |