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}
}