Technical Briefs

A New Analytic Approximation for the Hydrodynamic Forces in Finite-Length Journal Bearings

[+] Author and Article Information
Yaser Bastani

Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70803-6413

Marcio de Queiroz

Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70803-6413dequeiroz@me.lsu.edu

Due to space limitations, we only showed the plots for coefficients gki. The fit for coefficient fji have a similar quality.

J. Tribol 132(1), 014502 (Nov 13, 2009) (9 pages) doi:10.1115/1.4000389 History: Received March 16, 2009; Revised September 21, 2009; Published November 13, 2009; Online November 13, 2009

A new method for determining a closed-form expression for the hydrodynamic forces in finite-length plain journal bearings is introduced. The method is based on applying correction functions to the force models of the infinitely long (IL) or infinitely short (IS) bearing approximation. The correction functions are derived by modeling the ratio between the forces from the numerical integration of the two-dimensional Reynolds equation and the forces from either the IL or IS bearing approximation. Low-order polynomial models, dependent on the eccentricity ratio and aspect ratio, are used for the correction functions. A comparative computational study is presented for the steady-state behavior of the bearing system under static and unbalance loads. The results show the proposed models outperforming the standard limiting approximations as well as a model based on the finite-length impedance method.

Copyright © 2010 by American Society of Mechanical Engineers
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Figure 1

The plain journal bearing system

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Figure 2

Comparison between exact hydrodynamic forces and IL/IS approximations

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Figure 3

Correction functions Cei and Cϕi(i=IL,IS) versus ε for −0.05≤rv≤0.05

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Figure 4

Correction functions: actual data points and polynomial fit

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Figure 5

Comparison of exact hydrodynamic forces with proposed IL- and IS-based models for L/D=1

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Figure 6

gji(L/D) coefficients (i=IL,IS, j=1,2,3): actual data points and polynomial fit

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Figure 7

Comparison of equilibrium point locus for different static loads

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Figure 8

Comparison of the Sommerfeld curve

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Figure 9

Schematic of the unbalanced rotor

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Figure 10

Comparison of steady-state unbalance response with W0=0

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Figure 11

Comparison of steady- state unbalance response with W0=400 N



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