Elastohydrodynamic Lubrication Modeling by Cosserat Continuum Theory for Small Polymer Journal Bearings

[+] Author and Article Information
Bao Zhu

No. 2, LingGong Road Dalian, Liaoning 116023 China bzhu@dlut.edu.cn

Yingjian Cai

No.2 Linggong Road Dalian, 116024 China YXCAICAI@mail.dlut.edu.cn

Yupeng Li

No.2 Linggong Road Dalian, 116024 China ypli@dlut.edu.cn

M.K. Lei

Linggong Road 2 Dalian, Liaoning 116024 China surfeng@dlut.edu.cn

D.M. Guo

2 Linggong Road, High-Tech Zone Dalian, 116024 China surfeng163@163.com

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the Journal of Tribology. Manuscript received February 12, 2019; final manuscript received April 24, 2019; published online xx xx, xxxx. Assoc. Editor: Joichi Sugimura.

ASME doi:10.1115/1.4043641 History: Received February 12, 2019; Accepted April 25, 2019


Recent experiments have shown that the elastic deformation behaviors of polymeric material are consistent with the Cosserat elasticity under non-uniform deformation at millimeter scale. Thus, an elastohydrodynamic lubrication model in framework of the Cosserat continuum theory is proposed to explore the lubrication performance that deviates from classical elastohydrodynamic lubrication theory for the small polymer journal bearings with millimeter size. The elastic deformation of the bearing sleeve made of polymeric material and the pressure distribution in lubricating film are obtained through an iterative solution of the equation of the Cosserat elasticity and the modified Reynolds' equations with considering the boundary slippage. The effect of bearing size and Cosserat characteristic lengths for torsion and bending on the lubrication performance of the small polymer journal bearings is studied by using the proposed Cosserat elastohydrodynamic lubrication model. It was found that the small changes in film thickness due to the Cosserat effect can result in large changes in film pressure. The Cosserat characteristic length of bending possesses a significant effect on the lubrication behaviors of the journal bearings, because the size effect is mainly caused by the increased apparent modulus due to the bending elastic deformation of the bearing sleeve. The boundary slip behaviors dependent on the Cosserat characteristic length are also studied by using the Cosserat elastohydrodynamic model, and the numerical results show that the Cosserat characteristic length changes the optimal geometric parameters of the slip zone in term of load carrying capacity for the small polymer journal bearings.

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