非圆齿轮齿距误差分析研究  

Analytical research on pitch errors of non-circular gears

作　　者：王亚洲[1] 胡赤兵[1] 邬再新[1] 刘永平[1] 

机构地区：[1]兰州理工大学机电工程学院,甘肃兰州730050

出　　处：《华中科技大学学报（自然科学版）》2013年第6期7-10,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51265023);甘肃省自然科学基金资助项目(2007GS04855)

摘　　要：根据非圆齿轮滚切加工模型,分别推导了工件转角误差和齿条水平移动量误差作用下非圆齿轮齿距偏差和齿距累积误差的表达式,给出了考虑上述误差影响时非圆齿轮齿距偏差和齿距累积误差的计算方法.分别得到了工件转角误差和齿条水平移动量误差与非圆齿轮齿距偏差和齿距累积误差的关联规律.对椭圆齿轮实例计算表明:工件转角误差和齿条水平移动量误差对最小曲率半径附近的齿距偏差影响最大,所有齿距累积误差和为零,节曲线的等高线可代替节曲线来测量非圆齿轮齿距的齿距角误差.On the basis of mathematical model for hobbing noncircular gear, the expression was pro- posed for the noncircular gear pitch deviation and pitch accumulated error caused by the workpiece ro- tary angle errors and the rack horizontal movement amount errors. By consideration of the above men- tioned errors, a comprehensive method was given to calculate the noncircular gear pitch deviation, pitch accumulated error. The relation between noncircular gear pitch errors and the workpiece rotary angle errors as well as the rack horizontal movement amount errors were respectively analyzed. Tak- ing elliptic gears as an example, the results show that the workpiece rotary angle errors and the rack horizontal movement amount errors have a great effect on the pitch deviation near the minimum curva- ture radius. The elliptic gear pitch accumulated error equals zero, and the contour line of the elliptic gear pitch curves can replace the pitch curves to measure noncircular gear tooth angle errors.

关 键 词：机床运动轴 非圆齿轮 齿距误差 齿距偏差 齿距累积误差 

分 类 号：TH132.424[机械工程—机械制造及自动化]