Tooth Surface Contact Strength of Cycloid Internal Gear Pair with High Contact Ratio

doi:10.3901/JME.2019.23.109

Abstract

Abstract: Reasonable calculation of gear strength is the basis of realizing the design and optimization of gear structure and ensuring an appropriate margin. Due to the more number of teeth of cycloid internal gear pair with high contact ratio engaging at the same time, the root bending stress is very small, so only the tooth surface contact strength should be considered. Based on the improved energy method and the Hertz elastic theory, the models of time-varying mesh stiffness, load distribution among teeth and tooth surface contact strength for this gear pair under ideal conditions are derived. In view of the curvature radius at the node of the conjugate tooth profile being zero, the modification optimization problem of the profile near the node out of meshing is studied. On this basis, the influence of different machining errors on the bearing characteristics of this gear pair is discussed by transforming various errors in gear machining and the tooth backlash into displacement on common normal line of theoretical tooth profile, and is verified through finite element analysis with loaded contact in ABAQUS. The results show that this gear pair is very sensitive to machining errors (backlash), in other words, it has a high demand for accuracy, which provides technical support for the calculation of tooth surface contact strength and the control of machining errors.

Key words: cycloid gear, contact strength, potential energy method, load distribution among teeth, finite element method

CLC Number:

TH132

GUI Xincheng, LI Hongxun, JIN Xiaohui, ZHAO Zhongnian, LI Lishun, HOU Weifeng. Tooth Surface Contact Strength of Cycloid Internal Gear Pair with High Contact Ratio[J]. Journal of Mechanical Engineering, 2019, 55(23): 109-119.

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