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Research Papers: Contact Mechanics

An Analytical Dynamic Model of a Hollow Cylindrical Roller Bearing

[+] Author and Article Information
Jing Liu

State Key Laboratory of Mechanical
Transmission;
College of Mechanical Engineering,
Chongqing University,
Chongqing 400030, China

Yimin Shao

State Key Laboratory of Mechanical
Transmission,
Chongqing University,
Chongqing 400030, China
e-mail: jliu@cqu.edu.cn

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received June 7, 2017; final manuscript received May 18, 2018; published online June 13, 2018. Editor: Michael Khonsari.

J. Tribol 140(6), 061403 (Jun 13, 2018) (14 pages) Paper No: TRIB-17-1222; doi: 10.1115/1.4040382 History: Received June 07, 2017; Revised May 18, 2018

Hollow cylindrical roller bearings (HCRBs) have obtained much attention from design engineers in bearing industries since they can perform better than solid cylindrical roller bearings (SCRBs) in centrifugal forces, contact stiffness, cooling ability, fatigue life, etc. In this study, an analytical dynamic model of a lubricated HCRB is presented to analyze the influences of the radial load, the shaft speed, and the hollowness percentage of the roller on the bearing vibrations, which cannot be formulated by the methods in the reported literature. Both the support stiffness of the shaft and the roller mass are formulated in the presented dynamic model. The hollow hole in the roller is modeled as a uniform one. Numerical results show that the hollowness percentage of the roller has a great influence on the vibrations of the roller and the inner race of the HCRB. Moreover, the vibrations of the components of the HCRB are not only determined by the hollowness percentage of the roller, but also depended on the external radial load and shaft speed. Therefore, during the design process for the hollowness percentage of the roller, the influences of the radial load and the shaft speed on the vibrations of the bearing components should be considered, except for the fatigue life. The results show that this work can give a new dynamic method for analyzing the vibrations of the HCRBs. Moreover, it can give some guidance for the design method for the HCRBs.

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Figures

Grahic Jump Location
Fig. 1

Contact deformation comparison between the (a) solid and (b) hollow rollers

Grahic Jump Location
Fig. 7

Influence of the rotational speed on the accelerations of the first roller: (a) Fr = 3000 N and Ns = 3000 r/min, (b) Fr = 3000 N and Ns = 4000 r/min, and (c) Fr = 3000 N and Ns = 5000 r/min

Grahic Jump Location
Fig. 6

Influence of the radial load on the accelerations of the inner race: (a) Fr = 3000 N and Ns = 3000 r/min, (b) Fr = 4000 N and Ns = 3000 r/min, and (c) Fr = 5000 N and Ns = 3000 r/min

Grahic Jump Location
Fig. 5

Influence of the radial load on the accelerations of the first roller: (a) Fr = 3000 N and Ns = 3000 r/min, (b) Fr = 4000 N and Ns = 3000 r/min, and (c) Fr = 5000 N and Ns = 3000 r/min

Grahic Jump Location
Fig. 4

Influence of the hollowness percentage of roller on the whole elastic deformation of the roller body: (a) r1 = 0.000001 mm (HP ≈ 0%) and (b) r1= 3.6 mm (HP = 60%)

Grahic Jump Location
Fig. 2

Schematics of (a) a HCRB and (b) a dynamic model for the bearing

Grahic Jump Location
Fig. 14

Influences of the hollowness percentage of the roller on the kurtosis of accelerations of the inner race: (a) solid roller, (b) HR = 20%, (c) HR = 40%, and (d) HR = 60%

Grahic Jump Location
Fig. 8

Influence of the rotational speed on the accelerations of the inner race: (a) Fr = 3000 N and Ns = 3000 r/min, (b) Fr = 3000 N and Ns = 4000 r/min, and (c) Fr=3000 N and Ns = 5000 r/min

Grahic Jump Location
Fig. 9

Influences of the hollowness percentage of the roller on the RMS value of the accelerations of the first roller: (a) solid roller, (b) HR = 20%, (c) HR = 40%, and (d) HR = 60%

Grahic Jump Location
Fig. 10

Influences of the hollowness percentage of the roller on the crest factors of accelerations of the first roller: (a) solid roller, (b) HR = 20%, (c) HR = 40%, and (d) HR = 60%

Grahic Jump Location
Fig. 11

Influences of the hollowness percentage of the roller on the kurtosis of accelerations of the first roller: (a) solid roller, (b) HR = 20%, (c) HR = 40%, and (d) HR = 60%

Grahic Jump Location
Fig. 3

Influence of the hollowness percentage of roller on the whole elastic deformation of the roller body: (a) The whole view and (b) an enlarge view

Grahic Jump Location
Fig. 12

Influences of the hollowness percentage of the roller on the RMS value of the accelerations of the inner race: (a) solid roller, (b) HR = 20%, (c) HR = 40%, and (d) HR = 60%

Grahic Jump Location
Fig. 13

Influences of the hollowness percentage on the crest factors of accelerations of the inner race: (a) solid roller, (b) HR = 20%, (c) HR = 40%, and (d) HR = 60%

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