• 제목/요약/키워드: gerotor

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

  • Yun, Hongsik;Ham, Young-Bog;Kim, Sungdong
    • 드라이브 ㆍ 컨트롤
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    • 제17권2호
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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.

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

  • 김두인;최동훈;안효석
    • 대한기계학회논문집A
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    • 제24권4호
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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.

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

  • 정헌술;임영민;함영복
    • 드라이브 ㆍ 컨트롤
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    • 제16권4호
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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.

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

  • 김성동;김대명;함영복
    • 드라이브 ㆍ 컨트롤
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    • 제10권2호
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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.

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

  • 김민수;이현우;정성윤;김철
    • 한국정밀공학회지
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    • 제29권9호
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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).

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

  • 곽효서;이승환;김철
    • 대한기계학회논문집A
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    • 제39권12호
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    • pp.1237-1244
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    • 2015
  • 제로터(Gerotor) 오일펌프는 구조가 간단하고 1 회전당 토출량이 많기 때문에 소형화에 유리하며, 자동차의 엔진 윤활유 공급원 및 자동 변속기의 유압원으로 널리 사용되고 있다. 최근 자동차 산업에서는 연비향상 및 소음저감이 가장 중요한 문제로 대두되는데, 내접형 기어펌프 측면에서는 제로터의 치형설계 및 포트형상 설계를 통하여 이를 대처하고 있다. 이에 본 논문에서는 유량맥동이 매우 작은 값을 가지도록 조합된(타원 1-타원형 인벌루트-타원 2) 외부로브 형상에 대하여 치형의 기구학적 조건을 만족하는 식을 유도하여 내부로브 형상을 창출하였으며, 이에 대한 첨점 및 루프가 발생하지 않는 설계인자 범위를 결정하였다. 또한 설계인자의 변화가 치형의 형상 및 성능인자(유량, 유량맥동)에 미치는 영향을 파악하여 최적의 치형을 구하고자 하였다.