Analysis of the influence of design parameters on meshing stiffness of the cylindrical gear with VH-CATT

FENG Taiyu; ZHAO Fei; LIU Changhao; LUO Lan; CHEN Zhongmin

doi:10.16579/j.issn.1001.9669.2026.04.016

Abstract：[Objective]Aiming at the problem that the influence law of design parameters on meshing stiffness of variable hyperbolic circular-arc-tooth-trace(VH-CATT)cylindrical gears is not clear,the action characteristics of tooth width,module,pressure angle and cutter radius on meshing stiffness are revealed,so as to provide reference for parameter optimization design and transmission performance improvement of this type of gears.[Methods]Firstly,a gear mechanical model was established based on the meshing stiffness calculation model,and a finite element model of VH-CATT cylindrical gear was constructed combined with the tooth surface discrete node method to provide support for quantitative stiffness analysis;Secondly,static meshing simulation was carried out by Abaqus software,the normal contact force and comprehensive elastic deformation of tooth surface nodes were calculated,and the single-tooth and multi-tooth meshing stiffness were solved;Thirdly,the control variable method was adopted to change the four core design parameters respectively,and the influence law of a single parameter on meshing stiffness was explored;Finally,the accuracy of the finite element model was verified by stiffness calculation of standard spur gears to ensure the reliability of the research results.[Results]The meshing stiffness tends to be stable when the tooth width increases to 45 mm,and stabilizes in a fixed range when the pressure angle exceeds 23°;the meshing stiffness decreases gradually to stable with the increase of modulus,while increases continuously with the increase of cutter radius;when the pressure angle is 15°,the gear contact ratio reaches 2.34 with a three-tooth meshing zone,and the meshing stiffness is significantly higher than that of other angle conditions.The influence law of each parameter provides a quantitative basis for gear parameter selection.