1 Copyright © 2003 by ASME
Proceedings of IMECE2003
2003 ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND R&D EXPO
Washington, D.C – November 15-21, 2003
IMECE2003-43233
CONTACT STRESS IN A GEROTOR PUMP
P.Javier Gamez-Montero
LABSON - Universitat Politècnica de Catalunya
C\ Colom nº 7-11
08222 Terrassa
Spain
T- 0034937398085/ F- 0034937398633
pjgm@mf.upc.es
Esteve Codina
LABSON - Universitat Politècnica de Catalunya
C\ Colom nº 7-11
08222 Terrassa
Spain
T- 0034937398664/ F- 0034937398633
ecodina@mf.upc.es
ABSTRACT
The aim of the first part of this paper is to reach the
optimum design parameters of a gear set when it works as part
of an internal gear pump type gerotor. The performance of the
gear teeth and the whole gear set are evaluated through
analytical studies to obtain the maximum contact stress in gear
teeth and the volumetric characteristics. Several gear sets have
been examined and the results are presented. The aim of the
second part of this paper is to document a better understanding
of the performance of a crankshaft mounted gerotor pump for
IC engines lubrication. Modeling, simulation and experimental
work have been examined for a specific unit. A preliminary 2D
simulation is carried out by using the Finite Element Method
(FEM) to calculate the maximum contact stress. At the testing
phase, a prototype model of the gear set provides the maximum
contact stress on a pair of teeth by using photoelasticity
measurement techniques. The results are exposed and discussed
and possible alterations are proposed.
Keywords: Internal gear pumps type gerotor, contact stress,
volumetric characteristics, FEM, photoelasticity techniques,
optimum design parameters
INTRODUCTION
The trend in industries is toward the improvement of the
performance of the hydraulic components. Internal gear pumps
present a significant number of advantages and automotive
industry has focused on them. The advantages include: less
noisy, few components and no sealing units. At the same time,
the design of the internal gear pumps has a disadvantage of not
having parts that can be adjusted to compensate for wear in the
gear set. As a consequence, a sharp reduction of efficiency is
generated. It was Colbourne [1,2] who took one of the first
approaches to estimate the contact stress.
The work presented in this paper is divided into two
sections. In the first section of this paper, the authors have
concentrated on the performance of the gear teeth through an
analytical study of the contact stress in gear teeth and the
performance of the whole gear set through an analytical study
of the volumetric characteristics when it works as part of an
internal gear pump type gerotor. Based on Colbourne’s
approach, results of the maximum contact stress in the gear
teeth are obtained for several gear sets in function of design
parameters. Despite of the fact that the correct selection of the
design parameters allows reaching an optimal contact stress, it
cannot be forgotten that these geometrical parameters also
perform the volumetric characteristics of the pump. Therefore,
instantaneous flow, volumetric capacity, delivery irregularity
and tooth stress characteristics are presented for various pumps
based on several geometrical parameters, on one hand, to know
the influence of the design parameters of the gear in order to
reduce the maximum contact stress and obtain the optimal
volumetric characteristics and, on the other hand, to guide the
designer to select the best design parameters in a specific
application.
In the second section of this paper, the study concentrates
on simulation and experimental work for a specific gear set of a
unit of gerotor pump for IC engines lubrication. Simulation
plays an important role to attain a future optimal behavior in
systems and hydraulics components, especially when they are
being designed. A series of simulations has been performed
using a finite element technique to predict the contact stress in
Proceedings of IMECE’03
2003 ASME International Mechanical Engineering Congress
Washington, D.C., November 15–21, 2003
IMECE2003-43233
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