Elastohydrodynamic lubrication (EHL) analysis in finite line contacts is usually modeled by a finite-length roller contacting with a half-space, which ignores effect of the two free boundaries existing in many applications such as gears or roller bearings. This paper presents a semi-analytical method, involving the overlapping method and matrix formation, for EHL analysis in the finite line contact problem to consider the effect of two free end surfaces. Three half-spaces with mirrored loads to be solved are overlapped to cancel out the stresses at expected surfaces, and three matrices can be obtained and reused for the same finite-length space. The isothermal Reynolds equation is solved to obtain the pressure distribution and the fast Fourier transform (FFT) is used to speed up the elastic deformation and stress related calculation. Different line contact situations, including straight rollers, tapered rollers, and Lundberg profile rollers, are discussed to explore the effect of free end surfaces.
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Research-Article
Elastohydrodynamic Lubrication Analysis of Finite Line Contact Problem With Consideration of Two Free End Surfaces
Haibo Zhang,
Haibo Zhang
School of Mechanical Engineering,
Beijing Institute of Technology,
Beijing 100081, China
Beijing Institute of Technology,
Beijing 100081, China
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Wenzhong Wang,
Wenzhong Wang
School of Mechanical Engineering,
Beijing Institute of Technology,
Beijing 100081, China
e-mail: wangwzhong@bit.edu.cn
Beijing Institute of Technology,
Beijing 100081, China
e-mail: wangwzhong@bit.edu.cn
Search for other works by this author on:
Shengguang Zhang,
Shengguang Zhang
School of Mechanical Engineering,
Beijing Institute of Technology,
Beijing 100081, China
Beijing Institute of Technology,
Beijing 100081, China
Search for other works by this author on:
Ziqiang Zhao
Ziqiang Zhao
School of Mechanical Engineering,
Beijing Institute of Technology,
Beijing 100081, China
Beijing Institute of Technology,
Beijing 100081, China
Search for other works by this author on:
Haibo Zhang
School of Mechanical Engineering,
Beijing Institute of Technology,
Beijing 100081, China
Beijing Institute of Technology,
Beijing 100081, China
Wenzhong Wang
School of Mechanical Engineering,
Beijing Institute of Technology,
Beijing 100081, China
e-mail: wangwzhong@bit.edu.cn
Beijing Institute of Technology,
Beijing 100081, China
e-mail: wangwzhong@bit.edu.cn
Shengguang Zhang
School of Mechanical Engineering,
Beijing Institute of Technology,
Beijing 100081, China
Beijing Institute of Technology,
Beijing 100081, China
Ziqiang Zhao
School of Mechanical Engineering,
Beijing Institute of Technology,
Beijing 100081, China
Beijing Institute of Technology,
Beijing 100081, China
1Corresponding author.
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received January 11, 2016; final manuscript received July 4, 2016; published online November 9, 2016. Assoc. Editor: Xiaolan Ai.
J. Tribol. May 2017, 139(3): 031501 (11 pages)
Published Online: November 9, 2016
Article history
Received:
January 11, 2016
Revised:
July 4, 2016
Citation
Zhang, H., Wang, W., Zhang, S., and Zhao, Z. (November 9, 2016). "Elastohydrodynamic Lubrication Analysis of Finite Line Contact Problem With Consideration of Two Free End Surfaces." ASME. J. Tribol. May 2017; 139(3): 031501. https://doi.org/10.1115/1.4034248
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