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Optimal rotor wear design in hypotrochoidal gear pump using genetic algorithm

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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.

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References

  1. 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.

    Article  Google Scholar 

  2. 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.

  3. 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.

    Article  Google Scholar 

  4. SAENKO V P, GORBATYUK R N. On gerotor hydraulic machine design [J]. Russian Engineering Research, 2004, 24(7): 8–14.

    Google Scholar 

  5. 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.

    Article  Google Scholar 

  6. 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.

    Article  Google Scholar 

  7. MIMMI G C, PENNACCHI P E. Non-undercutting conditions in internal gears [J]. Mechanism and Machine Theory, 2000, 35: 477–490.

    Article  Google Scholar 

  8. 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.

    Article  Google Scholar 

  9. LITVIN F L, FUENTES A. Gear geometry and applied theory [M]. Cambridge, UK: Cambridge University Press, 2004: 1–266.

    Book  Google Scholar 

  10. COLBOURNE J R. The geometry of trochoid envelopes and their application in rotary pumps [J]. Mechanism and Machine Theory, 1974, 4: 421–435.

    Article  Google Scholar 

  11. 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.

    Article  Google Scholar 

  12. 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.

    Article  Google Scholar 

  13. 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.

    Article  Google Scholar 

  14. PALMGREN A. Les roulements, description, theories, applications [M]. SKF Compagnie d’Applications Mecaniques, 1967.

  15. SHIGLEY J E, UICKER Jr J J. Theory of machines and mechanisms [M]. New York: McGraw-Hill, 1980: 153–158.

    Google Scholar 

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Correspondence to Joong-ho Shin.

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Foundation item: Research Financially supported by Changwon National University in 2010, Korea

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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

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  • DOI: https://doi.org/10.1007/s11771-011-0753-z

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