Ease-off修形准双曲面齿轮齿面动态抗磨设计与分析

为了改善准双曲面齿轮动态性能、减小齿面磨损提出齿面动态抗磨修形设计与分析方法。小轮修形齿面表示为共轭齿面与法向Ease-off曲面两个矢量的和，Ease-off曲面通过预置抛物线修形参数及几何传动误差参数表达。提出考虑磨损深度影响的齿面承载接触分析（Tooth contact analysis with wear，WLTCA）数值方法，该方法通过承载接触分析（Tooth contactanalysis，LTCA）方法获得啮合刚度及齿面静载荷，在此基础上根据动力学分析获得齿面动载荷，结合Archard磨损公式进一步获得齿面磨损量，将齿形更新时的同时啮合齿对的磨损量叠加到齿对的初始间隙，为磨损后的LTCA计算提供准确的参数，重复以上循环可得到齿形更新后齿面上任一点的磨损深度及次数。以无磨损时法向相对振动加速度均方根最小、齿面磨损量最小进行修形优化获得最优Ease-off曲面；分析齿面磨损与系统动态响应之间的耦合作用。结果表明最优Ease-off齿面主要通过齿廓修形减少了磨损量，有效改善了系统动态响应。该方法充分考虑了齿面修形、磨损、动态响应的耦合性且计算效率较高，为高性能准双曲面齿轮齿面抗磨、减振设计与分析提供理论参考。

Dynamic Anti-wear Design and Analysis for Hypoid Gears with Ease-off Flank Modification

Methods of ease-off flank modification are developed to improve the dynamic performances and reduce tooth wear for hypoid gears. Firstly，the modified pinion are expressed by a sum of two vector of conjugate tooth of the gear and its normal ease-off modification represented by functions of both profile modification curves and predesigned transmission error. Secondly，a numerical method of loaded tooth contact analysis with wear(WLTCA) is proposed，and its principle are that: meshing stiffness and static loads are obtained based on loaded tooth contact analysis(LTCA)，and then based on which the dynamic loads are achieved by dynamic analysis，and then tooth wear depth are acquired based on Archard wear formula，and then the wear depth of simultaneous meshing tooth pairs are added to the initial clearances which provided with accurate parameters for the next LTCA，and then the both wear times and depths are calculated by repeating the above steps. Thirdly，the best ease-off deviations are determined by minimizing mean square value of normal vibration and tooth wear depths based on optimization algorithm. Finally，coupling action between tooth wear and dynamic responses are revealed. Besides，results show that the best ease-off tooth is mainly characterized by profile modification，and reduces the wear and improves the dynamic response. The approach fully considers the coupling of dynamic responses，tooth surface modification and wear，and provides with a theoretical reference of dynamic anti-wear and vibration reduction for the high performances hypoid gears.