Meshing performance analysis of non-backlash end-face roller enveloping cylindrical worm drive
WANG Kai
DOU Chenyang
CHEN Yonghong
Abstract：[Objective]Roller enveloping toroidal worm drives are widely used in computer numerical control(CNC)turntables but face challenges such as high error sensitivity and difficult installation.To solve these problems,a non-backlash end-face roller enveloping worm drive pair was proposed,achieving zero backlash by using one side for motion transmission and the other for clearance elimination.[Methods]Firstly,based on spatial meshing theory and differential geometry,the mathematical model of the non-backlash end-face roller enveloping worm drive was established.Secondly,mathematical expressions for meshing performance,including the meshing equation,contact lines,tooth surface equations,induced normal curvature,lubrication angle,and relative entrainment velocity,were derived.Finally,the influence of geometric parameters on meshing performance was analyzed using Matlab software.[Results]The results indicate that the theoretical meshing teeth of the proposed drive pair are 5 pairs,providing high load-carrying capacity.The lubrication angles of three or more pairs of meshing teeth are approximately 85°,indicating excellent lubrication performance.The induced normal curvatures of these teeth are below 0.25 mm-1,suggesting a good fit of the conjugate tooth surfaces.This design provides a reliable basis for the development of high-precision CNC transmission systems.
Keywords：End-face rollerEnveloping wormNon-backlash meshingMeshing performance
Publication Date：2026-03-15
Online Publishing Date：2026-09-12(First online date of this platform, not the publication date of the document)
Pages：11( 132-141,153 )