在机测量坐标系转换及齿面误差解算技术与实现  

Technology and implementation of coordinate transformation and tooth surface error calculation for on-machine measurement

作　　者：金雨生 丁建军[1] 张天伟 胡炳旭 卢光超 Jin Yusheng;Ding Jianjun;Zhang Tianwei;Hu Bingxu;Lu Guangchao(School of Mechanical Engineering,Xi′an Jiaotong University,Xi′an 710049,China;Zhejiang Jinaolan Machine Tool Co.,Ltd.,Jinhua 321200,China)

机构地区：[1]西安交通大学机械工程学院,西安710049 [2]浙江金澳兰机床有限公司,金华321200

出　　处：《仪器仪表学报》2023年第12期120-133,共14页Chinese Journal of Scientific Instrument

基　　金：陕西省“两链”融合高端机床重点专项(2021LLRH-01-01)资助。

摘　　要：面齿轮采用交叉轴或相交轴间的传动形式,在航空发动机和直升机装备中得到广泛的应用。但其独特的面型结构,使其加工难、效率低,离线检测导致微米量级加工精度难以快速收敛。针对该问题,开发了面齿轮在机测量系统。针对在机测量系统中齿面重构精度低和测量坐标系构建难、坐标系求解速度慢的问题,建立了基于插齿加工原理的齿面数学模型,提出了分割逼近的齿面误差评价方法和法向距离约束的测量坐标系快速求解方法。实现了齿面误差的精确解算和测量坐标系的快速求解。最后,在YK7280数控磨床上完成面齿轮的在机测量,验证所提算法的精度以及与克林贝格齿轮测量中心进行系统精度验证。实验表明所研发的在机测量系统测量齿形误差为6μm,满足5级面齿轮的加工检测要求。Facing gears are widely used in aero-engine and helicopter equipment in the form of cross-shaft or intersecting-axis transmission.However,its unique face structure makes it difficult and inefficient to machine,and offline inspection leads to micrometre-scale machining accuracy that is difficult to converge quickly.To address this problem,this article develops an on-machine measurement system for face gears.To solve the problems of low reconstruction accuracy of tooth face and difficulty in constructing and slow solving coordinate system in the on-machine measurement system,a mathematical model of tooth face is formulated,which is based on the principle of gear insertion processing.The evaluation method of tooth face error with segmentation approximation and the fast solution method of measurement coordinate system with normal distance constraints are proposed.The accurate solution of tooth surface error and the fast solution of measuring coordinate system are realized.Finally,the on-machine measurement of face gears is completed on the YK7280 CNC grinding machine to evaluate the accuracy of the proposed algorithms as well as to validate the accuracy of the system with the Klinberg Gear Measuring Center.The experiments show that the developed on-machine measurement system has a tooth shape error of 6μm,which meets the machining and inspection requirements of grade 5 face gears.

关 键 词：面齿轮 在机测量 齿面重构 坐标系求解 

分 类 号：TH71[机械工程—测试计量技术及仪器]