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.
The movement of the shaft of a driven gear in a gear pump is experimentally studied. Three different methods are considered, and the use of a laser micrometer measurement method is validated. In order to use the laser micrometer, some modifications are made to the gear pump. Experimental results for different working pressures and rotational velocities are shown. For a low nondimensional working pressure, defined in a similar way as the Sommerfeld load, experimental and numerical results agree very well for relative eccentricity. Nevertheless, experimental results made clear that the role of the lateral plate of the pump is very important for high nondimensional working pressure. A value of 100 is given for the critical nondimensional working pressure in order to avoid wear and slant in the lateral plate. Frequency analysis of the outlet pressure, as well as the precise measurement of the wear in the pump case, support experimental observation of the inability of the journal to retain the shaft for high nondimensional pressure.
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