Journal of Shanghai Jiaotong University ›› 2014, Vol. 48 ›› Issue (1): 45-49.

• Mechanical instrumentation engineering • Previous Articles     Next Articles

Comparison of Hobbing Interpolation Algorithms of Pascal Curve Gear
 

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

  1. (Department of Mechanical and Electronical Engineering; Key Laboratory of Manufacturing Technology and Application, Lanzhou University of Technology, Lanzhou 730050, China)
  • Received:2013-01-12

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

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