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Research Papers

Numerical Analysis on Dynamic Coefficients of Self-Acting Gas-Lubricated Tilting-Pad Journal Bearings

[+] Author and Article Information
Yang Lihua, Qi Shemiao

Institute of Mechatronics and Information Systems,  Xi’an Jiaotong University, Xi’an Shaanxi 710049, China

Yu Lie1

Institute of Mechatronics and Information Systems,  Xi’an Jiaotong University, Xi’an Shaanxi 710049, Chinayulie@mail.xjtu.edu.cn

1

Corresponding author.

J. Tribol 130(1), 011006 (Dec 17, 2007) (11 pages) doi:10.1115/1.2805422 History: Received November 16, 2006; Revised August 27, 2007; Published December 17, 2007

Although gas-lubricated tilting-pad bearings are widely used in high-speed turbomachinery, the theoretical prediction of the dynamic characteristics of tilting-pad gas bearings is also a very difficult problem because of its structural complexity. Several approaches have been proposed to solve this problem such as the pad assembly method and the small perturbation method. A numerical method by combining the partial derivative method with the equivalent coefficient method is presented in this paper to evaluate the dynamic stiffness and damping coefficients of self-acting tilting-pad gas bearing. The dynamic coefficients with the pads fixed and with the pads perturbation are, respectively, obtained for a typical self-acting tilting-pad gas bearing by using the proposed method to mainly explain the dependency of the bearing dynamic coefficients on the perturbation frequency. For bearings with the pads perturbation, the cross-coupling stiffness and damping coefficients are almost negligible compared with the direct ones. At lower perturbation frequency, the stiffness coefficients increase, while the damping coefficients decrease with an increasing frequency. The higher perturbation frequencies have very little effects on the bearing dynamic coefficients. Dynamic stiffness coefficients approach to the constant and damping coefficients to zero. However, with the pads fixed, in a low range of frequency, the absolute values of cross-coupling stiffness coefficients decrease with frequency. Furthermore, the cross-coupling coefficients are not negligible compared with the direct ones. In addition, the effects of pad inertia on dynamic coefficients are studied and compared with the results of pad inertia neglected.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Position of the journal at the arbitrary perturbation of the journal

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Figure 3

Schematic diagram of tilting-pad journal bearing with three-pads

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Figure 4

Changes of the equivalent dynamic stiffness and damping coefficients with the perturbation frequency of the journal and pads for different static loads at Λ=3.5 and m=0.0

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Figure 5

Changes of the equivalent dynamic stiffness and damping coefficients with the perturbation frequency of the journal and pads for different static loads at Λ=3.5 and m=0.2

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Figure 6

Changes of the equivalent dynamic stiffness and damping coefficients with the perturbation frequency of the journal and pads at Λ=3.5, ε0=0.6, and m=0.2

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Figure 7

Changes of dynamic stiffness and damping coefficients with the journal perturbation frequency at Λ=3.5, ε0=0.2, and m=0.2

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Figure 9

Comparison of equivalent dynamic coefficients with pad inertia neglected and considered

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Figure 8

Changes of dynamic stiffness and damping coefficients with the journal perturbation frequency at Λ=3.5, ε0=0.6, and m=0.2

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