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Multi-Objective Geometric Optimization of Elliptical-Toothed Gerotor Pumps for Kinematics and Wear by Genetic Algorithm

[+] Author Affiliations
Andrew J. Robison, Andrea Vacca

Purdue University, Lafayette, IN

Paper No. FPMC2018-8876, pp. V001T01A041; 12 pages
  • BATH/ASME 2018 Symposium on Fluid Power and Motion Control
  • BATH/ASME 2018 Symposium on Fluid Power and Motion Control
  • Bath, UK, September 12–14, 2018
  • Conference Sponsors: Fluid Power Systems and Technology Division
  • ISBN: 978-0-7918-5196-8
  • Copyright © 2018 by ASME


A computationally efficient gerotor gear generation algorithm has been developed that creates elliptical-toothed gerotor gear profiles, identifies conditions to guarantee a feasible geometry, evaluates several performance objectives, and is suitable to use for geometric optimization. Five objective functions are used in the optimization: minimize pump size, flow ripple, adhesive wear, subsurface fatigue (pitting), and tooth tip leakage. The gear generation algorithm is paired with the NSGA-II optimization algorithm to minimize each of the objective functions subject to the constraints to define a feasible geometry. The genetic algorithm is run with a population size of 1000 for a total of 500 generations, after which a clear Pareto front is established and displayed. A design has been selected from the Pareto front which is a good compromise between each of the design objectives and can be scaled to any desired displacement. The results of the optimization are also compared to two profile geometries found in literature. Two alternative geometries are proposed that offer much lower adhesive wear while respecting the size constraints of the published profiles and are thought to be an improvement in design.

Copyright © 2018 by ASME



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