• Title/Summary/Keyword: gerotor

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Analysis on Torque, Flowrate, and Volumetric Displacement of Gerotor Pump/Motor

  • Yun, Hongsik;Ham, Young-Bog;Kim, Sungdong
    • Journal of Drive and Control
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    • v.17 no.2
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    • pp.28-37
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    • 2020
  • It is difficult to analytically derive the relationship among volumetric displacement, flowrate, torque, and rotation speed regarding an instantaneous position of gerotor hydraulic pumps/motors. This can be explained by the geometric shape of the rotors, which is highly complicated. Herein, an analytical method for the instantaneous torque, rotation speed, flowrate, and volumetric displacement of a pump/motor is proposed. The method is based on two physical concepts: energy conservation and torque equilibrium. The instantaneous torque of a pump/motor shaft is determined for the posture of rotors from the torque equilibrium. If the torque equilibrium is combined with the energy conservation between the hydraulic energy of the pump/motor and the mechanical input/output energy, the formula for determining the instantaneous volumetric displacement and flowrate is derived. The numerical values of the instantaneous volumetric displacement, torque, rotation speed, and flowrate are calculated via the MATLAB software programs, and they are illustrated for the case in which inner and outer rotors rotate with respect to fixed axes. The degrees of torque fluctuation, speed fluctuation, and flowrate fluctuation can be observed from their instantaneous values. The proposed formula may provide a better understanding of the design or analysis process of gerotor pumps/motors.

Stress Analysis of Epitrochoidal Gerotor for Hydraulic Motor (유압 모터용 에피트로코이드 제로터의 응력해석)

  • Kim, Du-In;Choe, Dong-Hun;An, Hyo-Seok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.4 s.175
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    • pp.963-971
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    • 2000
  • Gerotor is a planar mechanism consisting of a rotor and lobes which form a closed space, namely a chamber. As active contact points between a rotor and lobes are subjected to very high contact stresses, wear in one or both of the rotor and lobe cannot be avoided. Therefore, in the design of Gerotor used in hydraulic motors a compromise between high torque output and contact stress is of great importance and a thorough analysis of design parameters should be conducted to achieve this compromise. In this study, a contact point is modelled as a linear spring in consideration of equivalent curvature to analyze the contact stress. As the contact stress calculation in this problem is a statically indeterminate type, a numerical iterative scheme has been adopted to obtain the solution. To fully understand the influence of design parameters on the contact stress, the relationship between pressure force, equivalent curvature, contact force and contact stress are analyzed. It is shown that the equivalent curvature of the contact point is a dominant factor that affects the maximum contact stress.

New Tooth Type Design and Characteristic Analysis for High Density Gerotor Pump (고밀도 제로터 펌프용 신형 치형설계 및 특성해석)

  • Jung, Heon-Sul;Lim, Young Min;Ham, Young-Bok
    • Journal of Drive and Control
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    • v.16 no.4
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    • pp.80-86
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    • 2019
  • The gerotor type device is mainly used in low-speed, high-torque hydraulic motors, and is also applied as a small priming hydraulic pump. For this reason, many studies have been conducted to increase the efficiency of the gerotor pump. In this paper, we propose a new tooth profile design method different from the existing method. The new tooth design is made by modifying the tooth surface using the amplification function of the trajectories, created along the inner and outer rolling circles around the base circle. The shape of the mate rotor is then created using rotation simulation techniques. Such shapes are described as hypercloid. The designed hypercloid rotor is compared with the existing trochoid rotor, and the characteristics of the parameters and volumetric displacements are analyzed. Through this process, the optimum design with larger volumetric displacement than the existing rotor is achieved.

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 - (에너지보존과 토크평형을 이용한 제로터 유압 펌프/모터의 배제용적 해석 - 내·외부로터 회전 경우 -)

  • Kim, S.D.;Kim, D.M.;Ham, Y.B.
    • Journal of Drive and Control
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    • v.10 no.2
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    • pp.13-22
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    • 2013
  • It is difficult to analytically derive a volumetric displacement formula of gerotor hydraulic pump/motor because geometric shape of rotors is complicated. An analytical method about the volumetric displacement is proposed in this work, which is relatively easy and based upon two physical concepts. The first one is energy conservation between hydraulic energy of the pump/motor and mechanical input/output energy. The second concept is torque equilibrium with respect to inner and outer rotors. The formula about the volumetric displacement is derived for the common case of inner and outer rotors rotate with respect to fixed axes. The formula is verified by comparing another analytical displacement formula, and it is numerically verified by comparing numerical results, which is calculated for geometric specification of a motor. The numerical displacement is calculated through CAD software program and MATLAB program. The proposed analytical formula can be utilized in analysis and design of hydraulic gerotor motors.

Development of Rotor for Internal Gear Pump using Cycloid and Polycircular-arc Curves (사이클로이드 및 폴리서클 곡선을 이용한 내접형 기어펌프용 치형 개발)

  • Kim, Min-Soo;Lee, Hyun-Woo;Jung, Sung-Yuen;Kim, Chul
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.9
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    • pp.1003-1011
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    • 2012
  • A new type of gerotor developed in this paper has the inner rotor designed by inserting a polycircular-arc between the hypocycloid and epicycloid curves, and we also suggest that the outer rotor be designed using the closed-form equation for the inner rotor and a method of modification. Thus, it is possible to design a gerotor for which there is no cusp and loop, as in this case undercut is prevented. We developed automated program for rotor design and calculation of the flow rate and flow rate irregularity. And we also demonstrate the superior performance of the gerotor developed in this study by analyzing the internal fluid flow using a commercial computation fluid dynamics-code (CFD).

Optimal Design of Gerotor with Combined Lobe Profiles (Ellipse 1-Elliptical Involute-Ellipse 2) (타원 1-타원형 인벌루트-타원 2 로브 형상의 제로터 최적 설계)

  • Kwak, Hyo Seo;Li, Sheng Huan;Kim, Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.12
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    • pp.1237-1244
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    • 2015
  • A gerotor can be manufactured in a miniature size because it has a high discharge per cycle and a simple structure. Gerotors are widely used for the lubrication oil of an engine and as the hydraulic source of an automatic transmission. Recently, improvements in fuel efficiency and noise reduction have come to the fore in the automobile industry, and it has been necessary for better fuel efficiency to continuously improve the flow rate and noise of internal gear pumps through the optimal design of the gerotor and port shape. In this study, gerotors were generated based on the equations derived for a lobe shape with multiple profiles (ellipse 1-elliptical involute-ellipse 2). The ranges of the design parameters were considered to prevent a cusp and loop. In addition, the optimal lobe shape was obtained by determining the influence of the lobe shape on the performances (flow rate, irregularity, etc.), according to the values of the design parameters.