• Title/Summary/Keyword: involute profile

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A Study on the Modeling of Spur and Helical Gear based on Mathematical Algorithm (수학적 알고리즘에 기초한 스퍼기어 및 헬리컬 기어 모델링에 관한 연구)

  • 김태호;이승수;김민주;전언찬
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.28-31
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    • 2002
  • In this study, we develop automatic design program, which create 3D model of spur gear and helical gear used VisuaILISP and create helical gear in the CATIA using 2D profile of gear. This model become the standard model, which give not only in itself mold information but also computer processed product with measuring date. Spur gear require mathematical examination of involute curve and trocoidal fillet curve. Automatic design program, which have a mathematical development create the profile of spur gear.

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A Study on the Modeling of Helical Gear using Automatic Design Program (자동설계 프로그램을 이용한 헬리컬 기어 모델링에 관한 연구)

  • 김민주;이승수;박정보;전언찬
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.591-594
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    • 2002
  • In this study, we develop automatic design program, which create 3D model of spur gear and helical gear used VisualLISP and create helical gear in the CATIA using 2D profile of gear. This model become the standard models which give not only in itself mold information but also compare processed product with measuring date. Spur gear require mathematical examination of involute curve and trocoidal fillet curve. Automatic design program, which have a mathematical development create the profile of spur gear.

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Development of profile rolling dies from forming simulation (Forming 시뮬레이션 기법에 의한 PROFILE ROLLING용 다이스 개발)

  • 이성수;이상준;박상범
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.10a
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    • pp.462-467
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    • 2002
  • New methods for screw and spline production has been developed recently by Japan and other developed countries in the basis of Rolling Dies work to cut down the production cost. These methods give us high precision of the products. But we in Korea mostly import Dies for manufacturing forming products. It is thought that if we don't develop our own technology for Rolling Dies, we will have to spend much money for importing Forming concerned equipments. In this paper, we designed the rolling dies based on the diameter of material and calculated the proper number of teeth of gear to establish desirable method for Rolling dies. And the result is shown after manufacturing Involute spline with the rolling dies.

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Transmission Error Analysis of ZI and ZA Profile Worm Gears (ZI 및 ZA형 웜기어의 치합전달오차 해석)

  • Lee, Tae-Hoon;Suh, Junho;Park, Noh-Gill
    • Tribology and Lubricants
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    • v.34 no.6
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    • pp.325-331
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    • 2018
  • Automobiles and systems requiring high gear ratios and high power densities generally use worm gears. In particular, as worm gears have a small volume and self-locking function, home appliances such as refrigerators and washers consist of worm gears. We can classify worm gears into cylindrical worms and rectangular worms. According to the AGMA standard, there are four types of cylindrical worms, ZA, ZN, ZK and ZI, depending on the machining of the worm shaft. It is preferable to use a ZI-type worm shaft, which is a combination of a worm wheel having an involute helical tooth surface and a conjugate tooth surface. However, in many cases, industries mostly use ZK, ZN, and ZA worm shafts because of the ease of processing. This paper presents numerical approaches to produce ZI and ZA worm surfaces and worm wheel. For the analysis of the transmission error of a worm gear system, this study (1) generates surface profile functions of ZI profile worm gear and worm shaft based on the common rack theory, (2) adopts the Newton-Raphson method for the analysis of the gear surface contact condition, and (3) presents and compares the corresponding transmission errors of ZI and ZA worm gears.

Application of Reverse Engineering for Manufacturing Errors at Manufacturing Gear using W-EDM (기어 와어어 컷 가공시 가공오차에 대한 역설계 적용)

  • Han M.S.;Kim M.J.;Kim J.N.;Park J.B.;Jeon E.C.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.460-463
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    • 2005
  • Gear is an important machine element to be used transmission in case short between axis. We drew gear using automatic design program to solve problem when it draw gear. We manufactured gears that it have different pressure angles using W-EDM. And we got a 2D profile of manufactured gear using reverse engineering. So we got to manufacturing error in comparison with CAD data and measured data. In result we could manufacture precise gear through improvement of manufacturing processes.

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중공소재에 의한 스퍼어기어의 냉간단조

  • Choi, Jae-Chan;Heo, Gwan-Do;Kim, Chang-Ho;Choi, Young
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1993.10a
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    • pp.224-230
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    • 1993
  • Closed-die forging of spur gears with hollow cylindrical billet has been analysed by using the upper-bound method. A kinematically admiccible velocity field has been developed. wherein, an involute curve has been introduced to represent the forging die profile. In the analysis, the deformation regions have been divided into nine zones. A constant frictional stress has been assumed on the contacting surfaces. Utilizing the formulated velocity field, numerical calcuations have been carried out to investigate the effects of various parameters, such as module, number of teeth and friction factor,on the forging of spur gears.

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Nonlinear Dynamic Characteristics of Gear Driving System with Tooth Modification (치형수정된 기어구동계의 비선형 동특성 해석)

  • Cho, Yun-Su;Choi, Yeon-Sun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.25-30
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    • 2002
  • To reduce the vibration of a gear driving system, the modification of gear tooth from the orignal involute gear profile is usually done in gear manufacturers. The quantity of tooth modification has been decided on the basis of the interference between two gear teeth during gear meshing and the elastic deformation due to loading. However, the dynamic characteristics with tooth modification has to be investigated to avoid the instability to the variation of gear meshing stiffness and the nonlinearity due to gear backlash which results in sub- or super-harmonics in its responses. This research shows the dynamic characteristics with various tooth modifications in its type and quantity.

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A Study on closed-die forging of Spur Gears by Upper Bound Method (상계법에 의한 스퍼어 기어의 밀폐단조에 관한 연구)

  • Choi, J.C.;Hur, K.D.;Kim, C.H.;Choi, Y.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.03a
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    • pp.55-62
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    • 1994
  • For theoretical estimate of closed-die forging pressure, upper-bound method is applied to the involute tooth profile. In the analysis, the deformation regions have been divided into several zones. A constant frictional stress has been assumed on the contacting surfaces. Utilizing the formulated velocity fields, numerical calculations have been carried out to investigate the effects of various parameters, such as module, number of teeth and friction factor, on the forging of spur gears. Very close agreement was found between the predicted values of forging load and those obtained from experimental results.

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Upper-bound Analysis for Cold Forging of Helical Gear ( II ) (헬리컬 기어의 냉간단조에 관한 상계해석 (II))

  • Choi, Jae-Chan;Tak, Sung-Jun;Choi, Young
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.144-149
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    • 1996
  • In this paper, the clamping type forging of helical gears has been investigated. Clamping type forging is an operation in which the product is constrained to extrude sideways through an orifice in the container wall. Punch is cylindrical shaped. The punch compresses a cylindrical billet placed in a die insert. As a consequence the material flows in a direction perpendicular to that of punch movement. The forging has been analysed by using the upper-bound method. A kinematically admissible velocity field has been developed, wherein, an involute curve has been introduced to represent tooth profile of the gear. Numerical calculations have been carried out to investigate the effects of various parameters, such as module, number of teeth, helix angle, friction factor and initial height of billet on the forging of helical gears.

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Nonlinear Dynamic Characteristics of Gear Driving System with Tooth Modification (치형수정된 기어구동계의 비선형 동특성 해석)

  • 조윤수;최연선
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.9
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    • pp.688-693
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    • 2003
  • To reduce the vibration of a gear driving system. the modification of gear tooth from the orignal involute gear profile is usually done in gear manufacturers. The quantity of tooth modification has been decided on the basis of the interference between two gear teeth during gear meshing and the elastic deformation due to loading. However. the dynamic characteristics with tooth modification has to be investigated to avoid the instability to the variation of gear meshing stiffness and the nonlinearity due to gear backlash which results in sub- or super-harmonics in its responses. This research shows the dynamic characteristics with various tooth modifications in its type and quantity.