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Research Papers: Hydrodynamic Lubrication

An Analytical Complete Model of Tilting-Pad Journal Bearing Considering Pivot Stiffness and Damping

[+] Author and Article Information
Zhiyong Yan, Yi Lu

Department of Mechanics and Engineering Science, Fudan University, 220 Handan Road, Shanghai 200433, P. R. China

Tiesheng Zheng1

Department of Mechanics and Engineering Science, Fudan University, 220 Handan Road, Shanghai 200433, P. R. Chinazhengts@fudan.edu.cn

1

Corresponding author.

J. Tribol 133(1), 011702 (Dec 03, 2010) (8 pages) doi:10.1115/1.4002070 History: Received December 28, 2009; Revised June 22, 2010; Published December 03, 2010; Online December 03, 2010

Considering the freedom of pad tilting and pad translation along preload orientation, an analytical complete model, as well as mathematical method, which contains 2n+2degrees of freedom, is presented for calculating the dynamical characteristics of tilting-pad journal bearing. Based on the motion relationship of shaft and pad, the local coordinate system, the generalized displacement, and the generalized force vector are chosen. The concise transformation of generalized displacement, generalized force, and its Jacobian matrix between the local and global coordinate systems are built up in matrix form. A fast algorithm using the Newton–Raphson method for calculating the equilibrium position of journal and pads is proposed. The eight reduced stiffness and damping coefficients can be obtained assuming that the journal and all pads are subject to harmonic vibration. Numerical results show that the reduced damping coefficients and the threshold speed can be effectively enhanced by giving suitable pad pivot stiffness and damping simultaneously, and this analytical method can be applied to analyze dynamical behavior of the tilting-pad journal bearing rotor system.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Single pad coordinate system considering pivot stiffness and damping

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Figure 2

Rigid rotor tilting-pad journal bearing system

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Figure 3

Reduced stiffness coefficients versus pivot stiffness coefficient

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Figure 4

Reduced damping coefficients versus pivot stiffness coefficient

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Figure 5

Reduced stiffness coefficients considering different pivot damping coefficients

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Figure 6

Reduced damping coefficients considering different pivot damping coefficients

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Figure 8

Dimensionless natural frequency and damping ratio

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Figure 7

Bearing dynamic coefficients associated with journal in function of journal speed

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