• Title/Summary/Keyword: Trochoidal shape

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A Study on the Three-dimensional Gear Modeling for CAD/CAM (CAD/CAM을 위한 3차원 기어 모델링에 관한 연구)

  • 주만식;김민주;이승수;전언찬
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.1008-1012
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    • 1997
  • This study is on a mathematical model of profile shifted involute gear, and this model is based on Camus's theory. Gear is general mechanical elements that used for power transmission between two shafts that interval is comparatively short. and it delivers bit power as accurate ratio of speed. The profile of Spur gear which is the most basic factor is divided into Trochoidal fillet curve and Involute curve. Involute curve is used a lot of a shape curve of machine parts such as a gear, a scroll compressor and a collar of centrifugal pump. However, It is poor to study the modeling of Trochoidal fillet curve and the three dimensions model shaped mathematical curve. So we draw three dimensions gear have accurate mathematical function using ADS(Automatic Drawing system), VisualLISP. To check accuracy and perfection, we make a program of checking Interference. and use for this study.

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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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A UBET Analysis of the Extrusion/Forging Process of Trochoidally Headed Bars (트로코이드 형상의 머리를 가진 봉의 압출/단조에 관한 UBET해석)

  • Kim, Myung-Hun;Hong, Seung-Jin;Kim, Ho-Yoon;Bae, Won-Byong
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.9
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    • pp.96-103
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    • 1999
  • A kinematically admissible velocity field is derived to analyze the forming load and the extruded length in the extrusion/forging process of trochoidally headed bars from round billets. The forming load and the extruded length are obtained by minimizing the total energy-consumption rate. Experiments are carried out with lead billets at room temperature using trochoidally shaped punches. The theoretical predictions of forming load and extruded length are in good agreement with the experimental results.

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