• Title/Summary/Keyword: Involute tooth profile

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Analysis of Kinematics and Tooth Profile in Harmonic Drive (주속식 감속기의 운동학 및 치형해석)

  • 전완주
    • Tribology and Lubricants
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    • v.4 no.2
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    • pp.60-67
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    • 1988
  • Conventional theory of gear mechanism can't be applied to analyze the harmonic drive due to specific movement of the teeth. This paper deals with an analysis of kinematics and geometry of the tooth engagement of a harmonic drive comprising circular spline, flexspline and wave generator. A theoretical new tooth profile of the flexspline in meshing internal rigid gear with involute profile is obtained. Characteristics of harmonic drive reducer are shown according to parameters such as deviation coefficient, deviation distance, addendum modification coefficient. As an example, the design of harmonic drive with 1:80 reduction ratio is presented.

Upper Bound Analysis on the Forging of Gear-Like Components (기어류 부품의 단조에 관한 상계해석)

  • Min, G.S.;Park, J.U.;Lee, H.C.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.2
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    • pp.102-112
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    • 1997
  • This paper describes the method that can construct kinematically admissible velocity fields for forging of gear-like components which have tooth shape around the cylinder. The kinematically admissible velo- city fields for the various gear-like components, involute spur gear, trapezoidal spline, square spline, ser- ration and trochoidal gear, were constructed by pilling up the velocity components according to the shape of tooth and billet. The billets, of hollow and solid, were Al 2218 and 2024. To verify the method, the analyses and experiments were carried out and compared with each other. For analyses, the half pitches of com- ponents were divided into several deformation regions based on their tooth profile. A neutral surface was used to represent the inner flow of material during forging. Its location varied with the energy optimazation and its contour varied with the number of teeth. In experiment, the contour of material filling up the tooth zone is hyperbolic curve caused by the frictional drag on the interface of die-wall/workpiece but, in the analysis, it is an arc which retains the same contour during all forging operation.

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Design of Elliptical Gears for Wire Cutting (타원형 기어의 와이어커팅을 위한 설계)

  • Lee, Sung-Chul
    • Tribology and Lubricants
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    • v.23 no.4
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    • pp.149-155
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    • 2007
  • The CAD model of a elliptical gear for wire cutting has been developed. The rolling contact of pitch ellipses whose rotation axes coincide with their focus has been analyzed, and the perimeter of the pitch ellipse 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. The elliptical gear has been designed by imposing the master tooth on the divided points of the pitch ellipse, and a full fillet has been achieved between neighbour teeth. Thus, the whole profile of an elliptical gear is a composite curve of arcs only, and consequently NC codes for wire cutting can be easily generated. Furthermore, a computer simulation program is developed to verify the mesh of the elliptical gear.

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

  • Lee, Sung-Chul
    • Tribology and Lubricants
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    • v.24 no.5
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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.

Development and Design of Robot Speed Reducer(RSR) with Straight Line Teeth Profile for Human Robot (휴먼 로봇을 위한 직선 치형을 갖는 로봇 감속기(RSR)의 설계 및 개발)

  • Nam Won-Ki;Jang In-Hun;Oh Se-Hoon;Shin Kwee-Bo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.3
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    • pp.315-320
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    • 2006
  • There are many types of reduction drives for industrial applications. In general, high precision speed reducer which has a cycloid or involute teeth profile, used to in robot. Because, it is essential to use precision reduction drives for accuracy of position control on robot system. In this paper, we propose a robot speed reducer(RSR) with straight line teeth profile, which has basically a triangle teeth profile. In new straight line teeth profile, we have a good result for strength, stress and stiffness by using finite element analysis and the results indicate that variation of eccentric coefficient affects the optimal tooth motion, and it can lower the stress and noise.

Development of harmonic drive using cycloide tooth profile (사이크로이드 치형을 이용한 하모닉 감속기의 개발)

  • Lee, Chong-Won;Oh, Se-Hoon;Kim, Jun-Cheol;Jeon, Han-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.7
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    • pp.1166-1173
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    • 1997
  • Due to progress in manufacturing techniques, the performance of the harmonic drive has been improved but not sufficiently. One of the important problems which the current harmonic drive has is that while there is the potential for having a wider tooth contact area, the total number of teeth engaged simultaneously is still small. This is mainly due to the involute tooth profile. Hence, in this study, the cycloid-type tooth profile is developed to improve this problem. This paper represents the design methodology and performance evaluation f the cycloid-type harmonic drive. Cycloide tooth profile was derived by analyzing geometry of the tooth engagement and the contact mechanisms of the tooth which were examined and analyzed by load analysis. The stress due to elastic deformation of a flexspline was also obtained by approximate formula and computer analysis. Finally, the cycloid-type harmonic drive with 1:100 speed ratio was manufactured and the performance of the harmonic drive was evaluated.

An Upper-Bound Analysis for Closed-Die Forging of the Involute Spur Gears with Circular Arc Fillet (원호필렛-인벌류트 스퍼어 기어의 밀폐단조에 관한 상계해석)

  • Choi, J.C.;Hur, K.D.;Kim, C.H.;Choi, Y.
    • Transactions of Materials Processing
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    • v.3 no.1
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    • pp.97-109
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    • 1994
  • Closed-die forging of the spur gears with circular are fillet has been analyses by using the upper-bound method. A kinematically admissible velocity field has been developed, wherein, the tooth profile consists of the involute curve and the circular arc fillet. In the analysis, the deformation regions have been divided into eight zones. A constant frictional stress has been assumed on the contacting surfaces Utilizing the formulated velocity field, numerical calculations have been carried out to investigate the effects of various parameters, such as module, number of teeth, addendum modification coefficient and friction factor, on the relative forging pressure of spur gears. As the result of numerical calculations, the relative forging pressure does not change so much against the variation of module. On the other hand, the relative forging pressure increases at the final filling stage as the addendum modification coefficient increases.

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Tooth Profile Analysis for Face Gear with 1:2 Gear Ratio in Handpiece with 160° Contra Angle (160도 Contra angle을 갖는 소형 핸드피스용 1:2증속기어의 치형 해석)

  • Choi, Jihun;Ahn, Sukyeong;Park, Sangshin
    • Tribology and Lubricants
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    • v.30 no.2
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    • pp.86-91
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    • 2014
  • This paper presents a design procedure for a face gear and pinion used in a handpiece with a $160^{\circ}\acute{y}$ contra angle and 1:2 gear ratio. Based on the geometric theory of gearing, the tooth profile of the face gear and pinion is developed. To analyze the contact pressure, the gear profile should be determined before calculating the stress between the two gears. The concept of calculating the face gear profile is that it can be generated by the coordinate transformation of the shaper profiles, which have involute curves, using a simulation method from the gear manufacturing process.

A Study on Optimum Tooth Profile of Pin-Pinion Gear for Linear Motion (직선이송용 Pin-Pinion Gear의 최적 치형에 대한 연구)

  • Ham, S.H.;Nam, W.K.;Oh, S.H.
    • Journal of Power System Engineering
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    • v.14 no.3
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    • pp.64-70
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    • 2010
  • In this study, designing of precise linear transferring device which can be applied to industrial machine and robot industry has been introduced. The direction of power flow and output feature are similar to current Rack-Pinion type. However, unlimited length extensity via rack modulizing, and securing high velocity transportation have been realized by applying Pin-Pinion Gear type at the operation part. The analysis has been calculated to obtain the Pin-Pinion Gear's optimized tooth profile. As a result of research, it is impossible to control precisely even overlap at the teeth of involute and sprocket. Because they have peculiar gearing structure. Therefore, modified cycloid tooth has been proposed to perform high velocity, precise control without backlash.

A Study on Tooth Profile Error in Internal Gear Shaping (내치차 절삭시의 치형오차에 관한 연구)

  • 박천경;최영석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.154-162
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    • 1991
  • In this study, the simulation program is developed where the tooth profile error in internal gear shaping is calculated considering several factors which affect it. This factors are the circular feed of the pinion cutter, the interference by the geometric conditions of the cutter and the internal gear, the deviation from the theoretical involute profile of the cutter and the eccentricity of the cutter and the internal gear. With this program, the effects are investigated which the geometric conditions and the cutting conditions in internal gear shaping have on the tooth profile error of the internal gear. The condition for the minimization of it is derived and then the results of simulation are adequately verified by measurements of internal gears cut by a pinion cutter.