Time-varying Mesh Stiffness Calculation and Load Distribution among Teeth of Cycloid Internal Gear Pair with High Contact Ratio

doi:10.3901/JME.2018.21.101

Abstract

Abstract: Time-varying meshing stiffness calculation and load distribution among teeth of cycloid internal gear pair with high contact ratio are the foundation of dynamics analysis and strength design. Because of the multi-teeth meshing, the load distribution among teeth is very complex and belongs to the statically indeterminate problem. In line with the existing literatures, considering the real transition curve and the exact tooth modeling, a more accurate method is utilized to calculate tooth surface Hertz contact stiffness, and the single tooth pair meshing synthesizing stiffness model fitting cycloid tooth shape is established by the potential energy method. According to its transmission characteristic, deformation compatibility equations are constructed and the load distribution model among teeth of multi-tooth meshing is proposed. In order to verify the correctness of the above model and improve the efficiency of simulation analysis, Python script programming is employed for secondary development in ABAQUS, which realizes accurate modeling, parametric analysis and automatic operation. On the basis of gear loaded contact analysis resulting and meshing stiffness calculation method of single tooth pair based on finite element method, the changing curves of meshing synthesizing stiffness and tooth meshing force in single-tooth meshing and multi-tooth meshing under different torques are obtained respectively. A comparison of the two methods shows that their results have coincident variation trend and closed numerical values, which verifies the correctness of the modeling and analysis and provides the foundation for dynamic analysis and strength calculation.

Key words: cycloid gear, finite element method, load distribution among teeth, meshing stiffness, potential energy method

CLC Number:

TH132

GUI Xincheng, LI Lishun, LI Hongxun, ZHAN Junqing, XUE Xingdong. Time-varying Mesh Stiffness Calculation and Load Distribution among Teeth of Cycloid Internal Gear Pair with High Contact Ratio[J]. Journal of Mechanical Engineering, 2018, 54(21): 101-112.

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