28. Application of evolution-based uncertainty design on gear

Boqiang Shi1, Yanhua Shen2, Guoqing Yu3, Guochen Duan4, Ruiyue Liu5

School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

1Corresponding author

E-mail: 1shiboqiangustb@163.com, 2yanhua_shen@ces.ustb.edu.cn, 3yukuoching_ustb@163.com, 4duan2485@163.com, 5princeziyan@163.com

Received 13 November 2016; accepted 14 November 2016

DOI https://doi.org/10.21595/mme.2016.18012

Abstract. The evolution of mechanical parameters, a factor affecting the mechanical reliability, has gathered more attention nowadays. However, studies on time varying uncertainty can hardly be found. A new method based on evolution-based uncertainty design (EBUD) is applied to the design of gear in this paper. Considering the wear evolution over the lifetime, a tooth wear’s time‑varying uncertainty model based on the continuous-time model and Ito lemma is established. Drift and volatility functions dependent on the drift rate and volatility rate of rotational speed and torque are used to express the time-varying uncertainty of tooth thickness. The method can predict the reliability and provide an instruction in reliability improving, maintenance and repair of the gear system.

Keywords: evolution-based uncertainty design, tooth wear, reliability.

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Cite this article

Shi Boqiang, Shen Yanhua, Yu Guoqing, Duan Guochen, Liu Ruiyue Application of evolution‑based uncertainty design on gear. Mathematical Models in Engineering, Vol. 2, Issue 2, 2016, p. 143‑150.

 

Mathematical Models in Engineering. December 2016, Volume 2, Issue 2

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