第19卷第12期 2011年12月
文章编号
1004-924X(2011)12-2963-07
光学精密工程
Optics and Precision Engineering
双球渐开线样板的理论分析和应用
石照耀，张健，陈洪芳
（北京工业大学机械工程与应用电子技术学院，北京100124）
Vol.19No.12
Dee.2011
摘要：为确保齿轮测量仪器的高精度校准，国际标准1SO/TR10064-5：2005推荐了新型的双球渐开线样板。该样板采用高精度球体的部分圆弧代替渐开线，通过误差补偿，获得高精度渐开线以实现渐开线溯源。研究了该样板相关的理论间题，为双球样板设计与应用提供了理论基础。针对数控齿轮测量仪器常采用的电子展成法，分析并给出了理想安装条件下和存在安装误差时双球渐开线样板的原理误差及其计算公式；根据最优圆弧思想，使用最小二乘法推导出双球中心距的优化公式；最后给出了原理误差的补偿方法。基于上述基本理论，开发了双球样板设计软件并研制了一块模数为 2.2681mm、齿数为40、压力角为20°的双球渐开线样板。
关键调：齿轮；齿轮仅器；齿轮测量：齿轮样板；双球渐开线样板
中图分类号：TH132.41;TP274
文献标识码：A
doi,10, 3788/OPE, 20111912. 2963
Theoretical analysis of double-ball artifact and its applications
SHIZhao-yao，ZHANGJian'，CHENHong-fang
(Collegeof Mechanical Engineering and Applied Electronics Technology,
BeijingUniversityof Technology,Beijing100124,China)
Correspondingauthor,E-mail:jko618126.com
Abstract: To ensure high-precision calibration of gear measuring instruments, the international stand-ard ISO / TR 10064-5:2005 recommends a Double-Ball Artifact (DBA) as calibration reference. The DBA employs a high-precision sphere to replace the involute and uses an error compensation technique to obtain a high-precision involute to realize the involate traceability. The theoretical issues relating to the DBA are discussed to provide a theoretical basis for the design and application of the DBA. The er-ror of measurement principle of DBA and its calculation function are given under the conditions of ideal installation and with installed crrors for the electronic generative metrology. According to the opti-mized arc thoughts, the formula of the optimized center distance between the two balls is derived by the least square method, Finally, the error compensation method is described. The DBA software is designed based on the above theory and a DBA is developed with a parameter of module in 2. 268 1 mm, number of teeth in 40, and a pressure angle in 20 °.
ees
收稿日期：2011-03-18修订日期：2011-04-15
基金项目：国家自然科学基金资助项目（No.50805003）