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Modeling and calculation of impact friction caused by corner contact in gear transmission

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Abstract

Corner contact in gear pair causes vibration and noise, which has attracted many attentions. However, teeth errors and deformation make it difficulty to determine the point situated at corner contact and study the mechanism of teeth impact friction in the current researches. Based on the mechanism of corner contact, the process of corner contact is divided into two stages of impact and scratch, and the calculation model including gear equivalent error—combined deformation is established along the line of action. According to the distributive law, gear equivalent error is synthesized by base pitch error, normal backlash and tooth profile modification on the line of action. The combined tooth compliance of the first point lying in corner contact before the normal path is inversed along the line of action, on basis of the theory of engagement and the curve of tooth synthetic compliance & load-history. Combined secondarily the equivalent error with the combined deflection, the position standard of the point situated at corner contact is probed. Then the impact positions and forces, from the beginning to the end during corner contact before the normal path, are calculated accurately. Due to the above results, the lash model during corner contact is founded, and the impact force and frictional coefficient are quantified. A numerical example is performed and the averaged impact friction coefficient based on the presented calculation method is validated. This research obtains the results which could be referenced to understand the complex mechanism of teeth impact friction and quantitative calculation of the friction force and coefficient, and to gear exact design for tribology.

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Authors and Affiliations

  1. National Engineering Research Center for High Efficiency Grinding, Hunan University, Changsha, 410082, China

    Changjiang Zhou

  2. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, 410083, China

    Siyu Chen

Authors
  1. Changjiang Zhou
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  2. Siyu Chen
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Corresponding author

Correspondence to Changjiang Zhou.

Additional information

Supported by National Science Foundation of China (Grant No. 51275160), National Science Foundation of China (Grant No. 51305462) and National Key Basic Research Program of China (973 Program, Grant No. 2010CB832700)

ZHOU Changjiang, born in 1975, is currently an associate professor of mechanical design at Hunan University, China. He received his PhD degree in mechanical design and theory from Hunan University, China, in 2013. He is mainly engaged in the research of drive mechanism and mechanical tribology.

CHEN Siyu, male, born in 1981, is currently a researcher at Central South University, China. He is mainly engaged in the research of gear dynamics.

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Zhou, C., Chen, S. Modeling and calculation of impact friction caused by corner contact in gear transmission. Chin. J. Mech. Eng. 27, 958–964 (2014). https://doi.org/10.3901/CJME.2014.0616.110

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  • DOI: https://doi.org/10.3901/CJME.2014.0616.110

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