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Research Papers: Hydrodynamic Lubrication

Static and Dynamic Characteristics of Externally Pressurized Porous Gas Journal Bearing With Four Degrees-of-Freedom

[+] Author and Article Information
Shuyun Jiang

Professor
School of Mechanical Engineering,
Southeast University,
2 Southeast Road, Jiangning District,
Nanjing 211189, China
e-mail: jiangshy@seu.edu.cn

Shengye Lin, Chundong Xu

School of Mechanical Engineering,
Southeast University,
2 Southeast Road, Jiangning District,
Nanjing 211189, China

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received October 30, 2016; final manuscript received May 24, 2017; published online August 16, 2017. Assoc. Editor: Alan Palazzolo.

J. Tribol 140(1), 011702 (Aug 16, 2017) (13 pages) Paper No: TRIB-16-1346; doi: 10.1115/1.4037134 History: Received October 30, 2016; Revised May 24, 2017

This paper studies the static and dynamic coefficients of an externally pressurized porous gas journal bearing. The finite difference method is used to solve the Reynolds equation of the bearing to obtain the static load capacity. The linear perturbation method is adopted to derive the perturbation equations considering four degrees-of-freedom (4DOF), namely, the translational movements in x and y directions and the rotational movements around x and y directions. The effects of various parameters on the dynamic behaviors of the journal bearing are studied. These parameters include the bearing number, the supply pressure, the feeding parameter, the length-to-diameter ratio, the porosity parameter, the eccentricity ratio, and tilting angles. Simulated results prove that the proposed method is valid in estimating the static and dynamic characteristics of a porous gas journal bearing with 4DOF.

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References

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Figures

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Fig. 1

Schematic view of porous gas journal bearing

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Fig. 2

Shaft position associated with translation and tilt motion: (a) initial position of the shaft, (b) shaft position with translating perturbation, and (c) shaft position with tilting perturbation

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Fig. 3

Comparison of the load capacity and the attitude angle of this paper with the solution from Ref. [3] (p¯s=2, L/D=1, ΛΦ=1, φx0=0, and φy0=0)

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Fig. 4

Comparison of the stiffness coefficient of the present analysis with the partial differentiation (ε0=0.4, p¯s=2, L/D=1, ΛΦ=1, φx0=10−4, φy0=10−4, and L/(2c)=500)

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Fig. 5

Variation of the load capacity and the attitude angle with the bearing number and the eccentricity ratio (p¯s=4, L/D=1, ΛΦ=1, φx0=0, and φy0=0)

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Fig. 6

Variation of the load capacity and the attitude angle with the bearing number and the supply pressure (ε0=0.4, L/D=1, ΛΦ=1, φx0=0, and φy0=0)

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Fig. 7

Variation of the load capacity and the attitude angle with the bearing number and the length-to-diameter ratio (ε0=0.4, p¯s=4, ΛΦ=1, φx0=0, and φy0=0)

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Fig. 8

Variation of the load capacity and the attitude angle with the feeding parameter and the eccentricity ratio (Λ=5, p¯s=4, L/D=1, φx0=0, and φy0=0)

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Fig. 9

Variation of loads and moments with the titling angles (Λ=5, ε0=0.4, Φ0=20deg, p¯s=4, L/D=1, ΛΦ=1, and L/(2c)=1000): (a) W¯x, (b) W¯y, (c) M¯x, and (d) M¯y

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Fig. 10

Variation of the dynamic characteristics with tilting angle φx0 (Λ=5, ε0=0.4, Φ0=20 deg, p¯s=4, L/D=1, ΛΦ=1, γ=1, φy0=0, and L/(2c)=1000): (a) force stiffness coefficients due to translation, (b) force damping coefficients due to translation, (c) force stiffness coefficients due to tilt motion, (d) force damping coefficients due to tilt motion, (e) moment stiffness coefficients due to translation, (f) moment damping coefficients due to translation, (g) moment stiffness coefficients due to tilt motion, and (h) moment damping coefficients due to tilt motion

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Fig. 11

Variation of the dynamic characteristics with tilting angle φy0 (Λ=5, ε0=0.4, Φ0=20deg, p¯s=4, L/D=1, ΛΦ=1, γ=1, φx0=0, and L/(2c)=1000): (a) force stiffness coefficients due to translation, (b) force damping coefficients due to translation, (c) force stiffness coefficients due to tilt motion, (d) force damping coefficients due to tilt motion, (e) moment stiffness coefficients due to translation, (f) moment damping coefficients due to translation, (g) moment stiffness coefficients due to tilt motion, and (h) moment damping coefficients due to tilt motion

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Fig. 12

Variation of the dynamic characteristics with the bearing number (ε0=0.4, p¯s=4, L/D=1, ΛΦ=1, γ=1, φx0=0, φy0=0, and L/(2c)=1000): (a) force stiffness coefficients due to translation, (b) force damping coefficients due to translation, (c) moment stiffness coefficients due to tilt motion, and (d) moment damping coefficients due to tilt motion

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Fig. 13

Variation of the force stiffness and damping coefficients with the bearing number and the length-to-diameter ratio (ε0=0.4, p¯s=4, ΛΦ=1, γ=1, φx0=0, φy0=0, and L/(2c)=1000): (a) force stiffness coefficient K¯xx and (b) force damping coefficient C¯xx

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Fig. 14

Variation of the stiffness and damping coefficients with the bearing number and the supply pressure (ε0=0.4, L/D=1, ΛΦ=1, γ=1, φx0=0, φy0=0, and L/(2c)=1000): (a) force stiffness coefficient K¯xx and (b) force damping coefficient C¯xx

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Fig. 15

Variation of the stiffness and damping coefficients with the bearing number and the eccentricity ratio (p¯s=4, L/D=1, ΛΦ=1, γ=1, φx0=0, φy0=0, and L/(2c)=1000): (a) force stiffness coefficient K¯xx and (b) force damping coefficient C¯xx

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Fig. 16

Variation of the stiffness and damping coefficients with the bearing number and the feeding parameter (ε0=0.4, p¯s=4, L/D=1, γ=1, φx0=0, φy0=0, and L/(2c)=1000): (a) force stiffness coefficient K¯xx and (b) force damping coefficient C¯xx

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Fig. 17

Variation of the damping coefficient C¯xx with the bearing number and the porosity parameter (ε0=0.4, p¯s=4, L/D=1, Λϕ=1, φx0=0, φy0=0, and L/(2c)=1000)

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