On shape design and optimization of gerotor pumps

@Article {
title = {On shape design and optimization of gerotor pumps},
journal = {Computer Graphics Forum},
pages = {e15140},
volume = {43},
keywds = {
CCS Concepts; • Applied computing → Computer-aided design; • Computing methodologies → Modeling methodologies; • Mathematics of computing → Mathematical optimization
}
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.

}
doi = {10.1111/cgf.15140},
date = {2024-08-01},
}