基于数控成形磨齿机的内斜齿轮齿向倒棱计算与加工  

Calculation and Machining of Internal Helical Gear Tooth Chamfering Based on CNC Profile Grinding Machine

作　　者：邓静[1] 王自林 蒋闯[1] 张聪聪 DENG Jing;WANG Zilin;JIANG Chuang;ZHANG Congcong(School of Mechatronics Engineering,Henan University of Science and Technology,Luoyang Henan 471003,China)

机构地区：[1]河南科技大学机电工程学院,河南洛阳471003

出　　处：《机床与液压》2025年第5期58-63,共6页Machine Tool & Hydraulics

基　　金：国家自然科学基金面上项目(52175049);龙门实验室前沿探索项目(LMQYTSKT024);省级科技研发计划联合基金项目(222103810040);国家科技重大专项(HT-J2019-Ⅶ-0017-0159)。

摘　　要：针对内斜齿轮齿向倒棱加工中存在的尺寸精度控制难度大、加工效率低等问题,提出一种基于砂轮过渡圆弧曲面的精密倒棱方法。在内斜齿轮端截面内建立齿根过渡圆弧曲线方程,推导出内斜齿轮齿向倒棱砂轮的回退量T及齿轮倒棱所需偏转角θ2的几何关系。通过分析内斜齿轮倒棱运动,建立相应的数学模型,并求出最佳回退量和偏转角。在Vericut中搭建机床三维模型,对内斜齿轮齿向磨削倒棱进行仿真加工与分析。最后,基于内斜齿轮加工原理和运动规律,编写相应的数控加工程序,并完成内斜齿轮齿向倒棱加工实验,同时利用齿轮检测中心对内斜齿轮齿向进行了检测。结果表明:利用数控成形磨齿机对内斜齿轮齿向倒棱是可行的,仿真误差在合理范围内;所提砂轮过渡曲面齿向倒棱方法实现了内斜齿轮倒棱加工的定量控制,有效提升了倒棱尺寸精度与加工效率,为内斜齿轮齿向倒棱提供了一种新的方法。Aiming at the problems of difficult control of chamfering dimension accuracy and low machining efficiency in the chamfering process of internal helical gear,a precision chamfering method based on grinding wheel transition arc surface was proposed.The tooth root transition arc curve equation was established in the end section of the internal helical gear,and the geometric relationship between the back amount T of the internal helical gear tooth chamfering grinding wheel and angle of gear chamferingθ2 was derived.By analyzing the chamfering motion of the internal helical gear,the mathematical model of the chamfering of the internal helical gear was established and the optimal back-off amount and deflection angle were obtained.The 3D model of the machine tool was built in Vericut,and the simulation processing and analysis of the internal helical gear tooth direction grinding chamfer were carried out.Finally,based on the machining principle and motion law of the internal helical gear,the corresponding numerical control machining program was compiled,and the tooth direction chamfering experiment of the internal helical gear was completed,and the tooth direction of the internal helical gear was detected by the gear detection center.The results show that it is feasible to use the NC forming gear grinding machine to chamfer the teeth of the internal bevel gear,and the simulation error is within a reasonable range.The proposed method realizes the quantitative control of internal helical gear chamfering processing,and effectively improves the chamfering dimension accuracy and processing efficiency.

关 键 词：内斜齿轮 齿向倒棱 数控磨齿机 加工仿真与实验 

分 类 号：TH16[机械工程—机械制造及自动化]