On Shape Design and Optimization of Gerotor Pumps

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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
A gerotor pump is a two-piece mechanism where two rotational components, interior and exterior, engage each other via a rotational motion to transfer a fluid in a direction parallel to their rotational axes. A natural question arises on what shape of the gerotor is the optimal one in the sense of maximum fluid being pumped for a unit of time, given the constraint of a fixed material needed to manufacture the pump. As there is no closed-formula to answer this question, we propose a new algorithm to design and optimize the shape of gerotor pumps to be as efficient as possible. The proposed algorithm is based on a fast construction of the envelope of the interior component and subsequent optimization. We demonstrate our algorithm on a benchmark gerotor and show that the optimized solution increases the estimated flowrate by 16%. We also use our algorithm to study the effect of the number of teeth on the cavity area of a gerotor.
Description

CCS Concepts: Computing methodologies → Modeling methodologies; Mathematics of computing → Mathematical optimization; Applied computing → Computer-aided design

        
@article{
10.1111:cgf.15140
, journal = {Computer Graphics Forum}, title = {{
On Shape Design and Optimization of Gerotor Pumps
}}, author = {
Pareja-Corcho, Juan C.
and
Barton, Michael
and
Pedrera-Busselo, Asier
and
Mejia-Parra, Daniel
and
Moreno, Aitor
and
Posada, Jorge
}, year = {
2024
}, publisher = {
The Eurographics Association and John Wiley & Sons Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/cgf.15140
} }
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