Abstract
The wear rate between the rotors of a hypotrochoidal gear pump is characterized. Using the knowledge of shape design on the rotors, the contact stresses without hydrodynamic effect between the rotor teeth were evaluated through the calculation of the Hertzian contact stress. Based on the above results and the sliding velocity between the rotors, a genetic algorithm (GA) was used as an optimization technique for minimizing the wear rate proportional factor (WRPF). The result shows that the wear rate or the WRPF can be reduced considerably, e.g. approximately 12.8%, throughout the optimization using GA.
Similar content being viewed by others
References
COLBOURNE J R. Reduction of the contact stress in internal gear pumps [J]. Transactions of the ASME: Journal of Engineering for Industry, 1976: 1296–1300.
FABIANI M, MANCO S, NERVEGNA N, RUNDO M. Modeling and simulation of gerotor gearing in lubricating oil pumps [R]. SAE Transactions N 1999-01-0626, 1999: 989–1003.
MANCO S, NERVEGNA N, RUNDO M. A contribution to the design of hydraulic lube pumps [J]. International Journal of Fluid Power, 2002, 3(1): 1–11.
SAENKO V P, GORBATYUK R N. On gerotor hydraulic machine design [J]. Russian Engineering Research, 2004, 24(7): 8–14.
RANGANATHAN G, RAJ T H S, RAM P V M. Wear characterization of small PM rotors and oil pump bearings [J]. Tribology, 2004, 37: 1–9.
VECCHIATO D, DEMENEGO A, ARGRIS J, LITVIN F L. Geometry of a cycloidal pump [J]. Computer Methods in Applied Mechanics and Engineering, 2001, 190: 2309–2330.
MIMMI G C, PENNACCHI P E. Non-undercutting conditions in internal gears [J]. Mechanism and Machine Theory, 2000, 35: 477–490.
HWANG Y W, HSIEH C F. Geometry design using hypotrochoid and nonundercutting conditions for an internal cycloidal gear [J]. Transactions of the ASME: Journal of Mechanical Design, 2007, 129: 413–420.
LITVIN F L, FUENTES A. Gear geometry and applied theory [M]. Cambridge, UK: Cambridge University Press, 2004: 1–266.
COLBOURNE J R. The geometry of trochoid envelopes and their application in rotary pumps [J]. Mechanism and Machine Theory, 1974, 4: 421–435.
KWON S M, KANG H S, SHIN J H. Rotor profile design in a hypogerotor pump [J]. Journal of Mechanical Science and Technology, 2009, 23: 3459–3470.
YE Z, ZHANG W, HUANG Q, CHEN C. Simple explicit formulae for calculating limit dimensions to avoid undercutting in the rotor of a cycloid rotor pump [J]. Mechanism and Machine Theory, 2006, 41: 405–414.
SHIN J H, KWON S M. On the lobe profile design in a cycloid reducer using instant velocity center [J]. Mechanism and Machine Theory, 2006, 41(5): 596–616.
PALMGREN A. Les roulements, description, theories, applications [M]. SKF Compagnie d’Applications Mecaniques, 1967.
SHIGLEY J E, UICKER Jr J J. Theory of machines and mechanisms [M]. New York: McGraw-Hill, 1980: 153–158.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Research Financially supported by Changwon National University in 2010, Korea
Rights and permissions
About this article
Cite this article
Kwon, Sm., Kim, CH. & Shin, Jh. Optimal rotor wear design in hypotrochoidal gear pump using genetic algorithm. J. Cent. South Univ. Technol. 18, 718–725 (2011). https://doi.org/10.1007/s11771-011-0753-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-011-0753-z