Modeling of single-point line meshing gears based on cubic NURBS surface interpolation
CHEN Chong
GU Liyao
ZHU Pengcheng
Abstract：[Objective]The gear profile equation of point-line meshing gear is a complex piecewise function,and the model-ing error of the gear tooth profile equation is large.In order to more accurately study the meshing characteristics and transmis-sion parameters of the gear pair,a gear pair model of single-point line meshing based on cubic non-uniform rational B-spline(NURBS)surface interpolation was established.[Methods]According to the meshing principle of the gear pair and the coordi-nate system transformation of the single-point line meshing gear pair,the tooth surface equation was derived to obtain the dis-crete tooth surface data,the surface control point matrix formed by the interpolation of the discrete data was solved by cubic NURBS,and the tooth surface reconstruction was carried out by using the UG secondary development and the control point ma-trix of the curved surface;the finite element analysis model of the gear pair was established,the instantaneous contact line,the maximum contact stress of the gear surface and the variation curve of the maximum bending stress were obtained,and the accu-racy of the three-dimensional model was verified.[Results]The results show that there is no edge contact between the single-point line meshing gear auxiliary driving wheel when entering and exiting the meshing,the maximum contact stress changes rel-atively slowly during the whole cycle,and the maximum bending stress occurs near the tooth root transition surface of the driven gear and the driven gear.
Keywords：Single-point line meshing gear pairTooth surface reconstructionMeshing characteristicsContact stress
Publication Date：2025-02-14
Online Publishing Date：2026-09-12(First online date of this platform, not the publication date of the document)
Pages：7( 56-61,78 )