弧齿锥齿轮TCA接触印痕与传动误差协同求解方法研究  

TCA Collaborative Solution Considering Both Contact Pattern and Transmission Error for Spiral Bevel Gears

作　　者：王煜石 容凯彬 丁撼[1] 孙甲尧 王智泉[3] WANG Yushi;RONG Kaibin;DING Han;SUN Jiayao;WANG Zhiquan(State Key Laboratory of Precision Manufacturing for Extreme Service Performances,Central South University,Changsha 410083,China;Zhangjiajie Institute of Aeronautical Engineering,Zhangjiajie 427000,Hu'nan,China;School of Mulinsen,Ji'an College,Ji'an 343100,Jiangxi,China)

机构地区：[1]中南大学极端服役性能精准制造全国重点实验室,长沙410083 [2]张家界航空工业职业技术学院,湖南张家界427000 [3]吉安职业技术学院木林森学院,江西吉安343100

出　　处：《机械科学与技术》2024年第9期1559-1568,共10页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(52205507);国家重点研发计划(2020YFB2010200);湖南省自然科学基金项目(科教联合基金)(2021JJ60080)。

摘　　要：弧齿锥齿轮齿面接触分析(Tooth contact analysis,TCA)可以精确计算得到反映传动性能的重要评价指标接触印痕以及传递误差。然而由于存在强烈的非线性和数值耦合关系,导致求解精度差、效率低和稳定性差。因此,提出了一种同时考虑接触印痕与传动误差的TCA协同求解新方法。首先基于啮合原理进行齿面参数化表达,同时在三维坐标空间中利用旋转矩阵模拟齿轮副的啮合运动进行接触轨迹和传递误差求解;再根据数值齿面的曲率特征,进行接触印痕精确解析求解。算例结果验证了本文所提方法的可行性。Tooth contact analysis(TCA)of spiral bevel gear can be solved for the contact pattern and transmission error which are the important assessment items on the transmission performance.However,due to the strong nonlinear and numerical coupling relationship,it leads to the poor solution accuracy,the low efficiency and the poor stability.Therefore,a new TCA collaborative solution considering both contact pattern and transmission error is proposed.Firstly,with application of the meshing principle,the expression of tooth surface discretization is performed.In three-dimension coordinate space,the rotation matrix is used to simulate the meshing motion of the gear pair for computing the contact path and transmission error.Then,according to the curvature characteristics of the numerical tooth surface,accurate analytical solution contact pattern is developed.The feasibility of the proposed method is verified by numerical instance results.

关 键 词：弧齿锥齿轮 齿面接触分析 接触印痕 传递误差 

分 类 号：TH132.422[机械工程—机械制造及自动化]