Optimal Wear Design for a Hypotrochoidal Gear Pump without Hydrodynamic Effect

하이포 트로코이드 기어 펌프의 건식 마멸 최적설계

  • 권순만 (창원대학교 기계설계공학과) ;
  • 심무용 (STX엔진(주)) ;
  • 남형철 (창원대학교 대학원 기계설계공학과) ;
  • 신중호 (창원대학교 기계설계공학과)
  • Published : 2009.12.01


A disadvantage in the design of a hypotrochoidal gear pump as in a gerotor pump is a lack of parts that can be adjusted to compensate for wear in the rotor set, and as a consequence, it causes a sharp reduction of volumetric efficiency. In this paper, an attempt has been made to reduce the wear rate between the rotors of a hypotrochoidal gear pump. Using the knowledge of shape design on the rotors, the contact stresses without hydrodynamic effect between the rotors' teeth are evaluated through the calculation of the Hertzian contact stress. Based on the above result and the sliding velocity between the rotors, a genetic algorithm (GA) is 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% in this paper, throughout the optimization using GA.


Gerotor;Hypotrochoidal Gear Pump;Hertzian Contact Stress;Wear Rate Proportional Factor;Genetic Algorithm


  1. Kwon, S.-M., Nam, H.C., Lu, L. and Shin, J.-H., 2009, "A Study on Optimal Wear Design for a Gerotor Pump," Transactions of the KSME, Series A, Vol. 33, No. 1, pp. 82~88
  2. Shin, J.-H. and Kwon, S.-M., 2006, "On the Lobe Profile Design in a Cycloid Reducer using Instant Velocity Center," Mechanism and Machine Theory, Vol. 41, No. 5, pp. 596~616
  3. Kang, H.S., 2008, "A Study on Profile Design of a Hypotrochoidal Gear Pump," Master thesis, Changwon National University, Republic of Korea
  4. Kwon, S.-M., Kim, M.S. and Shin, J.-H., 2008, "Analytical Wear Model of a Gerotor Pump without Hydrodynamic Effect," JSME, Journal of Avdanced Mechanical Design, System, and Manufacturing, Vol. 2, No. 2, pp. 230~237
  5. Shigley, J.E. and Uicker, Jr. J.J., 1980, Theory and Machines and Mechanisms. McGraw-Hill
  6. Palmgren, A., 1967, Les Roulements. Description, Theorie, Applications(SKF Compagnie d'Applications Mecaniques)

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