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中南大学学报(英文版)

Journal of Central South University

Vol. 25    No. 7    July 2018

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Mesh stiffness calculation of cycloid-pin gear pair with tooth profile modification and eccentricity error
LI Xuan(李轩)1, 2, CHEN Bing-kui(陈兵奎)2, WANG Ya-wen(王亚文)3, LIM Teik Chin3

1. School of Mechanical and Electric Engineering, Soochow University, Suzhou 215021, China;
2. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400030, China;
3. Department of Mechanical and Aerospace Engineering, University of Texas at Arlington,
Arlington, TX, 76019, USA

Abstract:Cycloid speed reducers are widely used in many industrial areas due to the advantages of compact size, high reduction ratio and high stiffness. However, currently, there are not many analytical models for the mesh stiffness calculation, which is a crucial parameter for the high-fidelity gear dynamic model. This is partially due to the difficulty of backlash determination and the complexity of multi-tooth contact deformation during the meshing process. In this paper, a new method to calculate the mesh stiffness is proposed including the effects of tooth profile modification and eccentricity error. The time-varying mesh parameters and load distribution of cycloid-pin gear pair are determined based on the unloaded tooth contact analysis (TCA) and the nonlinear Hertzian contact theory, allowing accurate calculations of the contact stiffness of single tooth pair and the torsional stiffness of multi-tooth pairs. A detailed parametric study is presented to demonstrate the influences of tooth profile modification, applied torque and eccentricity error on the torsional mesh stiffness, loaded transmission error, Hertzian contact stiffness and load sharing factor. This model can be applied to further study the lost motion and dynamic characteristics of cycloid speed reducer and assist the optimization of its precision, vibration and noise levels.

 

Key words: cycloid speed reducer; mesh stiffness; tooth contact analysis; load distribution; modification

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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