Experimental Verification of Spherical Worm Wheel Dressing and Internal Helical Gear Grinding Based on the Virtual Center Distance Method

Abstract

Abstract. The grinding principle of a spherical worm wheel is used to determine the coordinate system for the tooth surface of an equivalent helical gear that envelops the worm wheel. The equation for the tooth surface is reverse-engineered to construct a model. The dressing principle for the grinding wheel based on the virtual center distance method is used to examine the motion structure of the gear grinding machine and dressing motion characteristics of the grinding wheel. A coordinate system for the diamond roller dressing of the spherical worm grinding wheel is established. The four-axis linkage of the machine tool enables the grinding wheel to undergo deflection, thereby completing the dressing cycle. The grinding process is simulated, and theoretical predictions are experimentally validated. The results confirm the accuracy of the internal helical gear with the worm wheel, and this demonstrates the rationality and effectiveness of the proposed dressing approach. Overall, this study presents significant advancements in the field of gear manufacturing and provides valuable insights for future developments in grinding technology.