Pascal蜗线型齿轮滚切插补算法对比

上海交通大学学报（自然版） ›› 2014, Vol. 48 ›› Issue (1): 45-49.

Pascal蜗线型齿轮滚切插补算法对比

王亚洲，胡赤兵，刘永平，邬再新，王保民

（兰州理工大学机电工程学院, 数字制造技术与省部共建教育部重点实验室, 兰州 730050）

收稿日期:2013-01-12
基金资助:
国家自然科学基金项目（51265023）资助

Comparison of Hobbing Interpolation Algorithms of Pascal Curve Gear

WANG Yazhou,HU Chibing,LIU Yongping,WU Zaixin,WANG Bomin

(Department of Mechanical and Electronical Engineering; Key Laboratory of Manufacturing Technology and Application, Lanzhou University of Technology, Lanzhou 730050, China)

Received:2013-01-12

摘要/Abstract

摘要：

根据Pascal蜗线型齿轮滚切加工模型推导出Pascal蜗线型齿轮滚切插补算法，探讨了不同插补算法中程序段弧长和机床运动轴的变化规律.同时，为了对比程序段弧长的均匀性，提出了程序段弧长均匀度的概念.实例结果表明，在最小曲率半径处,工件等极角插补程序段弧长最长,工件等转角插补程序段弧长变换较为平稳，工件等弧长插补程序段弧长相等；3种插补算法程序段的弧长均匀度由小到大依次为工件等弧长插补、工件等转角插补和工件等极角插补；采用工件等极角插补算法时机床运动轴无一恒定,不便于控制，采用工件等转角插补算法的滚刀控制复杂，而工件等弧长插补算法较为实用.

关键词: 非圆齿轮, Pascal蜗线, 插补算法, 机床运动轴, 程序段弧长

Abstract:

According to the mathematical model for hobbing Pascal curve gear, interpolation algorithms of hobbing pascal curve gear were obtained. Developing regularity of different interpolation algorithms arc length of segment and machine motion axis were compared, the concept of the arc length of segment uniformity degree was proposed, thereby the uniformity of the arc length of segment could be judged. The experiment shows that the stage equal polar angle interpolation arc length of segment is longest near the minimum curvature radius, the development rate of the stage equal rotational angle interpolation arc length of segment is more stable, and the stage equal arc length interpolation arc length of the segment is equal; The arc length of segment uniformity of the three algorithms were orderly increased, which were the stage equal polar angle interpolation, the stage equal rotational angle interpolation and the stage equal arc length interpolation; The stage equal polar angele interpolation machine motion axis motion was with variable velocity and was difficult to control, the stage equal rotational angle interpolation cutter control was complex, and the stage equal arc length interpolation was practical.

Key words: noncircular gear, Pascal curve, interpolation algorithm, machine motion axis, arc length of segment

中图分类号:

TH 132.424

王亚洲，胡赤兵，刘永平，邬再新，王保民. Pascal蜗线型齿轮滚切插补算法对比[J]. 上海交通大学学报（自然版）, 2014, 48(1): 45-49.

WANG Yazhou,HU Chibing,LIU Yongping,WU Zaixin,WANG Bomin. Comparison of Hobbing Interpolation Algorithms of Pascal Curve Gear

[J]. Journal of Shanghai Jiaotong University, 2014, 48(1): 45-49.

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