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Research Papers: Gas Turbines: Structures and Dynamics

# Numerical Analysis of the Shaft Motion in the Journal Bearing of a Gear Pump

[+] Author and Article Information
R. Castilla, P. J. Gamez-Montero, E. Codina

Department of Fluid Mechanics, LABSON, U.P.C.: Colom 11, Terrassa E-08222, Spain

M. Gutes

ArvinMeritor, Albert Einstein Str., 14-20, Dietzenbach D-63128 , Germany

J. Eng. Gas Turbines Power 132(1), 012504 (Oct 02, 2009) (10 pages) doi:10.1115/1.3126771 History: Received November 10, 2008; Revised March 13, 2009; Published October 02, 2009

## Abstract

This paper describes a numerical analysis of the dynamics of the shaft in the journal bearing of a gear pump. The modulus and direction of the load is a function of the relative position of the gears, causing a precession motion around an equilibrium position. The mean load is the function of the working pressure of the gear pump. The numerical analysis presented in this paper combines the equation of motion of the journal-gear set, based on the linearization of the fluid film load, with calculation of the load due to the pressure distribution on the gears. The damping and stiffness coefficients for the motion equation are calculated with the distributions around the shaft of the pressure and its derivatives. These distributions are calculated from the Reynolds equations using an in-house 2D finite element code with quadrangular elements; the equation of motion is solved with a fifth-order Runge–Kutta scheme. The results provide the stabilized position of the shaft for certain conditions, and allow limitation of the working pressure and the angular velocity of the pump in order to minimize, or to avoid, metal-metal contact and consequent wear of material. The results are compared with experiments and previously reported numerical results.

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## Figures

Figure 1

Distribution of pressure in the gearwheels

Figure 2

Calculation of the load on the driving gear due to the pressure in the discharge

Figure 3

Load on the gear wheels for a working pressure of 150 bars

Figure 4

Angle of load on the gear wheels for a working pressure of 150 bars

Figure 5

Coordinate systems of the journal bearing

Figure 6

Orbits of the center of the shaft for 1000 rpm

Figure 7

Orbits of the center of the shaft for 1500 rpm

Figure 8

Orbits of the center of the shaft for 2000 rpm

Figure 9

Orbits of the center of the shaft for 150 bars

Figure 10

Descriptive scheme of the precession movement of the shaft

Figure 11

Minimum rotational velocity as a function of the working pressure for the simulated gear pump

Figure 12

Comparison of relative eccentricity with experimental results in Ref. 25

Figure 13

Comparison with results in Ref. 26

Figure 14

Modified Sommerfeld load versus relative eccentricity for the results in Ref. 26, the sinusoidal load and the gear pump load

## Errata

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