드라이브 ㆍ 컨트롤 (Journal of Drive and Control)

  • 제11권4호
  • /
  • Pages.15-24
  • /
  • 2014
  • /
  • 2671-7972(pISSN)
  • /
  • 2671-7980(eISSN)
유공압건설기계학회 (The Korean Society for Fluid Power and Construction Equipment)
권호 표지
DOI QR코드

DOI QR Code

에너지보존과 토크평형을 이용한 제로터 유압모터의 배제용적 해석 - 내부로터 공·자전 경우 -

An Analysis on Volumetric Displacement of Gerotor Hydraulic Motor using Energy Conservation and Torque Equilibrium - Second Report: The Case of a Revolving and Rotating Inner Rotor -

  • Kim, S.D. (Department of Intelligent Mechanical Engineering, Kumoh National Institute of Technology) ;
  • Kim, D.M. (Department of R&D, DeaHwa Industrial Machinery Inc.) ;
  • Ham, Y.B. (Extreme Energy Machinery lab, Korea Institute of Machinery & Materials Industrial Machinery)
  • 투고 : 2014.08.01
  • 심사 : 2014.10.11
  • 발행 : 2014.12.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

It is difficult to analytically derive a volumetric displacement formula for a gerotor hydraulic motor due to the complexity of the geometric shape of its gear lobes. This work proposes an analytical method for the volumetric displacement, a relatively easy method based upon two physical concepts: conservation between hydraulic energy and mechanical shaft energy, and torque equilibrium for the rotor's motion. The first research using these concepts was conducted on inner and outer rotors rotating with respect to each rotor axis. This work represents the second report conducted on an inner rotor revolving as a planetary motion on the stationary outer rotor. The formula equations regarding the volumetric displacement and flow rate are derived, and the proposed formula about the volumetric displacement is proven to be the same as another analytical displacement formula: the so-called vane length method. From the formula, volumetric displacement is calculated for an example geometry of the gear lobes. The resultant displacement is confirmed to be the same as the value calculated from the chamber volume method. The proposed analytical formula can be utilized in the analysis and design of gerotor hydraulic motors. Because it is based on torque equilibrium, this formula can provide a better understanding of torque performance, such as torque ripple, in designing a gerotor type motor.

키워드

참고문헌

  1. J. R. Colbourne, "The geometry of trochoid envelopes and their application in rotary pumps", Mechanism and Machine Theory, Vol. 9, pp. 421-435, 1974. https://doi.org/10.1016/0094-114X(74)90025-1
  2. Sung-Chul Lee and Sung-Nam Lee, "Design and Analysis of Gerotor for Hydraulic Motors", Journal of The Korean Society of Tribologists & Lubrication Engineers, Vol.11, No. 2, pp. 63-70, 1995.
  3. Y. J. Chang, J. H. Kim, C. H. Jeon, Chul Kim and S. Y. Jung, "Development of an Integrated System for the Automated Design of a Gerotor Oil Pump", J. Mech. Des. 129, 1099, 2007. https://doi.org/10.1115/1.2757629
  4. J. S. Seo, H. S. Chung, H. M, Jeong, "A Study on Gerotor Design with Optimum Tip Clearance for Low Speed High Torque Gerotor Hydraulic Motor ", Journal of the Korea Society for Power System Engineering, Vol. 10, No.4 , pp.119-126, 2006.
  5. J. H. kim, J. H. Park, S. Y. Jung, J. H. Son, C. Kim, "Optimal Design of Tooth Profile for High-Efficiency Gerotor Oil Pump ", Journal of the Korean Society of Precision Engineering, Vol.22, No.5, pp.28-36, 2005.
  6. J. H. Kim, C. Kim, C. H. Kim, "Optimum design on the lobe shapes of Gerotor Oil Pump", Journal of the Korean Society of Precision Engineering, Vol.23, No.4, pp.124-131, 2006.
  7. C. B. Tsay and C. Y. Yu., "Mathematical Model for the Profile of Gerotor Pumps.," J. CSME, Vol.10, No.1, pp.41-47, 1989.
  8. C. Y. Yu and C. B. Tsay, Mathematical Model of Gerotor Pump Applicable to Its Characteristic Study," J. CSME, Vol.11, No.4, pp.385-391, 1990.
  9. D. W. Dudley, "Handbook of Practical Gear Design", pp.1.33, McGraw-Hill, New York, 1984.
  10. J. R. Colbourne, "Gear Shape and Theoretical Flow Rate in Internal Gear Pumps", Transactions of Canadian Society for Mechanical Engineering, Vol. 3 No. 4, pp.215-223, 1975.
  11. Sung-Chul Lee, "Profile Design of the Inner Rotor of a Gerotor by the Composite Curve of Circular Arcs", Journal of the Korean Society of Tribologists & Lubrication Engineers, Vol. 22, No. 2, pp 79-86, 2006.
  12. S. D. Kim, D. M. Kim, Y. B. Han, C. H. Han, "An Analysis on Volumetric Displacement of Gerotor Pump/Motor Using Vane Length", Journal of the Korea fluid power systems society, Vol.8, No2, pp 8-16, 2011.
  13. S. D. Kim, D. M. Kim and Y. B. Ham, "An Analysis on Volumetric Displacement of Hydraulic Gerotor Pump/Motor using Energy and Torque Equilibrium -First Report: Case of Rotation of Inner and outer Rotors-", Journal of the Korean Society of Fluid power and Construction Equipment, Vol.10, No.2, pp 13-22, 2013. https://doi.org/10.7839/ksfc.2013.10.2.013
  14. Noah D Manring, Suresh B. Kasaragadda, "The Theoretical Flow Ripple of an External Gear Pump", Transaction of ASME, Journal of Dynamic Systems, Measurement, and Control, Vol. 125, pp. 396-404, 2003. https://doi.org/10.1115/1.1592193
  15. Daniel C. H. Yang, Jia Yan, Shih-Hsi Tong, "Flowrate Formulation of deviation Function Based Gerotor Pumps", Transaction of ASME, Journal of Mechanical Design, Vol. 32, 2010.
  16. L Ivanovic, G Devedzic, N Miric and S Cukovic, "Analysis of forces and moments in gerotor pumps", Proc. IMechE Vol. 224 Part C: J. Mechanical Engineering Science, 2010.

피인용 문헌

  1. A Study on Theoretical Flowrate of Gerotor Pump Using Chamber Areas vol.19, pp.9, 2018, https://doi.org/10.1007/s12541-018-0163-3