• 제목/요약/키워드: Circular Gear

검색결과 52건 처리시간 0.024초

인벌류우트-圓弧 合成齒形기어의 應力解析 (A Stress Analysis on the Involute-Circular Arc Composite Tooth Profile Gear)

  • 탁계래;최상훈;윤갑영
    • 대한기계학회논문집
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    • 제11권2호
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    • pp.198-204
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    • 1987
  • 본 논문에서는 전보에서 창성된 인벌류우트-원호합성치형기어에 있어서 Hertz 식에 의하여 치면접촉응력을 구하고 유한요소법에 의하여 이뿌리응력을 계산하였다. 그리고 같은 제원의 표준 인벌류우트 치형기어와 비교하였다.

인벌류우트-원호 합성치형의 적정 원호반경에 대한 연구 (A Study on the Adequate Radius of Circular Arc in the Involute-Circular Arc Composite Tooth Profile)

  • 정인승;손지원;윤갑영
    • 대한기계학회논문집
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    • 제11권2호
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    • pp.296-303
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    • 1987
  • 본 논문에서는 동력전달용 기어에 주로 쓰이는 물림률 1.3 이상일 때, 치면접 촉응력과 공칭굽힘응력이 작게되는 풀림각 1˚로 고정하여 잇수 30∼100개 압력각 14˚∼30˚의 범위에서 최소 원호반경식과 치형 조건을 만족하는 최대 원호반경식에 대하여 고찰하였다.

인벌류우트 - 圓孤 合成齒形의 創成 에 대한 硏究 (A Study on Composite Tooth Profile Generation of Involute and Circular Are)

  • 최상동;변준형;윤갑영
    • 대한기계학회논문집
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    • 제9권5호
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    • pp.572-578
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    • 1985
  • 본 논문에서는 인벌류우트와 원고치형의 단점을 보완하고 양자의 장점을 취한 치형을 얻기위하여 피치점 부근에서는 인벌류우트치형으로 이끝부분에서는 원호로 하 고 이뿌리부분에서는 상대방 기어의 원호부분과 맞물릴 수 있는 곡선으로 하는 치형을 합성하고, 이 합성치형의 유효치형을 가공할 수 있는 랙치형을 이론적인 방법으로 구 하였다. 그리고, 이 합성치형의 유효치형에 대한 이끝과 이뿌리 두께의 변화와 물림 률을 검토하였다.

계수기용 비인벌류트 치형의 내치차 설계와 물림해석 (Design and Meshing Analysis of a Non-involute Internal Gear for Counters)

  • 이성철
    • Tribology and Lubricants
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    • 제30권4호
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    • pp.212-217
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    • 2014
  • A counter gear transmits the rotation angle, so the angular velocity ratio of the gear does not necessarily need to be constant in the meshing process. As a pinion has a small number of teeth when combined with an internal gear for counters, tooth interference can occur with the use of an involute curve. This paper introduces circular arcs that represent a tooth profile and fillet for the profile design of a pinion through the combination of arcs with lines. The straight line of a rack tooth represents the profile of a mating internal gear. Thus, the circular arc and line maintain contact during the rotation of the counter gear. This paper presents an analysis of the meshing of the circular arc tooth and rack tooth along with the properties of the counter gear, such as the change in rotational velocity and amount of backlash. The contact ratio of the counter gear is 1 because the tooth contact occurs between circular arcs and line. The initial position of tooth contact, which denotes the simultaneous contact of two teeth, is found. As the rotation of the pinion, only one tooth keeps the contact situation. This meshing property is analyzed by the geometrical constraints of the tooth profile in contact and the results are presented as graphical diagrams in which tooth-arc movements are superimposed.

Vibration from a Shaft-Bearing-Plate System Due to an Axial Excitation of Helical Gears

  • Park, Chan-Il
    • Journal of Mechanical Science and Technology
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    • 제20권12호
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    • pp.2105-2114
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    • 2006
  • In this paper, a simplified model is studied to predict analytically the vibration from the helical gear system due to an axial excitation of helical gears. The simplified model describes gear, shaft, bearing, and housing. In order to obtain the axial force of helical gears, the mesh stiffness is calculated in the load deflection relation. The axial force is obtained from the solution of the equation of motion, using the mesh stiffness. It is used as a longitudinal excitation of the shaft, which in turn drives the gear housing through the bearing. In this study, the shaft is modeled as a rod, while the bearing is modeled as a parallel spring and damper only supporting longitudinal forces. The gear housing is modeled as a clamped circular plate with viscous damping. For the modeling of this system, transfer matrices for the rod and bearing are used, using a spectral method with four pole parameters. The model is validated by finite element analysis. Using the model, parameter studies are carried out. As a result, the linearized dynamic shaft force due to the gear excitation in the frequency domain was proposed. Out-of-plan displacement from the forced vibrating circular plate and the renewed mode normalization constant of the circular plate were also proposed. In order to control the axial vibration of the helical gear system, the plate was more important than the shaft and the bearing. Finally, the effect of the dominant design parameters for the gear system can be investigated by this model.

비원형기어에서의 압력각과 잇수비 및 곡률반경의 적정범위에 관한 연구 (A Study on the Proper Scope for Pressure Angle, Ratio of Tooth Number & Radius of Curvature in Non-Circular Gears)

  • Park, S.H.
    • 한국정밀공학회지
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    • 제14권6호
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    • pp.52-63
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    • 1997
  • Non-circular gear has a good velocity ratio in high speed and heavy load without any slip, moreover, it can transmit various motion, using simpler structure than link and cam, automation mechainism. In case of designing and manufacturing non-circular gear. I suggest one of references in applying non-circular gear to industrial plant, and suitable range of application by pressure angle curvature and angle ratio

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헬리컬 기어의 축방향 가진에 의한 축-베어링-플레이트계의 방사소음 예측 (Prediction of Radiated Noise From a Shaft-bearing-plate System Due to an Axial Excitation of Helical Gears)

  • 박찬일
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.199-203
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    • 2004
  • In this paper, a simplified model is studied to predict analytically the radiated noise from the helical gear system due to an axial excitation of helical gear. The simplified model describes gear, shaft, bearing, and housing. To obtain the axial force of helical gear, mesh stiffness is calculated in the load deflection relation. The axial force is obtained from the solution of the equation of motion, using the mesh stiffness. It is used as a longitudinal excitation of the shaft, which in turn drives the gear housing through the bearing. In this study, the shaft is modeled as a rod, while the bearing is modeled as a parallel spring and damper only supporting longitudinal forces. The gear housing is modeled as a clamped circular plate with viscous damping. For the modeling of this system, transfer function from the shaft to the clamped plate are used, using a spectral method with four pole parameters. Out-of-plane displacement for the thin circular plate with viscous damping is derived and sound pressure radiated from the plate is also derived. Using the model, parameter studies are carried out.

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오벌기어의 피치곡선 곡률에 따른 치형 설계 (Tooth Profile Design of an Oval Gear According to the Curvature of the Pitch Curve)

  • 이성철
    • Tribology and Lubricants
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    • 제28권1호
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    • pp.27-32
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    • 2012
  • Oval gears are typical kinds of non-circular gears and are widely used in flow meters. This paper presents a tooth profile design of an oval gear according to the curvature of the pitch curve. The length of the pitch oval is divided by the number of teeth and the curvature of the divided points is obtained. The tooth profile is designed on the circle of the curvature as if it is the pitch circle of a gear. The teeth of the oval gear have the same module and pressure angle, but the pitch circle of each tooth differs in size. Thus, the teeth on the divided points of the pitch oval are different in shape. This type of oval gear will improve the meshing properties.

비원형 기어의 와이어 방전가공을 위한 설계 (Design of Noncircular Gears for Wire EDM)

  • 이성철
    • Tribology and Lubricants
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    • 제24권5호
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    • pp.221-227
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    • 2008
  • This paper presents a step-by-step design of noncircular gears. From the diagram of angular velocity ratio of a noncircular gear pair, the pitch curves of the two mating gears are determined, and the perimeter of the pitch curve has been divided into equal-length segments by the number of teeth. A master tooth profile, which is a composite curve of circular arcs that represents involute, has been introduced. A noncircular gear pair has been designed by imposing the master tooth on the divided points of the pitch curve, and a full fillet has been achieved between neighbour teeth. Thus, the whole profile of the noncircular gear is a composite curve of arcs only, and consequently NC codes for wire EDM can be easily generated.

축방향력에 의한 축 플레이트계의 방사소음 (Radiated Noise from a Shaft-Plate System by an Axial Force)

  • 박찬일
    • 소음진동
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    • 제8권5호
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    • pp.908-913
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    • 1998
  • Analogous problem for a gear dynamics where helical gears excite logitudinal forces in the shaft is studied. These shaft forces excite the supporting gear housing through bearing, causing structural vibration. In this study, shaft is modeled as a rod, and bearing is modeled by a massless spring. A simple model for gear housing is a clamped circular plate. To model this force transmission, the transfer functions from the shaft to a clamped circular plate are analytically derived by using the spectral method and four-pole parameter. Finally, radiated noise is computed, using the acoustic relations due to plate surface vibration.

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