基于齿面位姿-几何误差模型的大规格滚齿机关键误差识别  

Identification of Key Errors for Large-sized Gear Hobbing Machines Based on Tooth Surface Posture-geometric Error Model

作　　者：李猛 王时龙[1] 马驰 夏长久 LI Meng;WANG Shilong;MA Chi;XIA Changjiu(The State Key Laboratory of Mechanical Transmission,Chongqing University,Chongqing,400044)

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044

出　　处：《中国机械工程》2023年第5期533-542,共10页China Mechanical Engineering

基　　金：国家自然科学基金重点项目(51635003);国家自然科学基金(51905057);重庆市自然科学基金(cstc2019-jcyj-msxmX0050,cstc2019-jcyj-msxm-0389)。

摘　　要：为研究影响大规格滚齿机加工精度的关键几何误差,提出了一种基于齿面位姿-几何误差模型结合Sobol法的机床关键几何误差识别方法。首先,基于齐次坐标变换理论,建立了刀具位姿-几何误差模型,通过求解滚齿双参数包络方程,获得了加工齿面接触迹点坐标值,建立了机床齿面位姿-几何误差模型;然后,考虑几何误差的随机性和互耦性,利用Sobol法对该模型进行敏感性分析,计算了几何误差的敏感度系数以识别出关键几何误差;最后,进行了关键几何误差虚拟仿真修正和对比验证。研究结果表明,所提方法能有效识别大规格滚齿机的关键误差项。In order to study the key geometric errors affecting the machining accuracy of the large-sized gear hobbing machines,a method for identifying key geometric errors of the machine tool was proposed based on the tooth surface posture-geometric error model combined with Sobol method.Firstly,based on the theory of homogeneous coordinate transformation,the tool posture-geometric error model was established.By solving the two-parameter envelope equation of gear hobbing,the coordinate values of the contact trace points of the machined tooth surfaces were obtained,and the tooth surface posture-geometric error model was established.Then,considering the randomness and mutual coupling of geometric errors,the Sobol method was used to analyze the sensitivity of the model,and the sensitivity coefficients of geometric errors were calculated to identify the key geometric errors.Finally,the virtual simulation corrections and verification of the key geometric errors were performed.The results show that the proposed method may effectively identify the key error terms of the large-sized gear hobbing machines.

关 键 词：大规格滚齿机 齿面位姿-几何误差 Sobol法 敏感性分析 

分 类 号：TG612[金属学及工艺—金属切削加工及机床]