Modelling and Simulation of Gerotor Gearing in Lubricating Oil Pumps

The paper presents geometric and kinematic aspects that constitute a premise to the modelling and simulation of gerotor lubricating oil pumps. With reference to a commercial oil pump two different modelling approaches of the pumping elements are addressed: the classical integral-derivative approach and the new derivative-integral approach. The latter, based on volumes swept by vector rays, is easier to implement and requires less computer time at equal accuracy. Two approaches to modelling are also detailed that feature different reticulations of the pump and consequently involve a different number of ordinary differential equations (ODE). Depending on the extent and detail of expected informations, either 4 or N+2 ODE must be solved, N being the number of variable volume chambers in the pump. Finally, numerical results of the simulation code, developed in the AMESim environment, have been compared with experimental results presented elsewhere [4].