• Title/Summary/Keyword: involute

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Study on the Total Design of a Conical Involute Gear (코니칼 인볼류트 기어의 Total 설계에 관한 연구)

  • Kim, Jun-Seong;Lee, Do-Young;Kang, Jai-Hwa;Xu, Zhe-Zhu;Lyu, Sung-Ki
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.13 no.2
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    • pp.100-107
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    • 2014
  • Currently, there are many power transmission devices, including gears, friction wheels, chains, and belts. Because the power transmission of gears is most certainin these devices, gears are widely used in different power transmission fields and environments. In accordance with the gear shape, gears can be classified as cylindrical gears and conical gears. A cylindrical gear, which provides a means of power transmission under parallel axis and skewed axis conditions, contains a spur gear, a helical gear and a worm gear. A conical gear, which can be used on a skewed axis as well as parallel and crossed axes, includes a bevel gear(e.g., straight bevel, spiral bevel, hypoid gear) and a conical involute gear(or a bevel oid gear). In this paper, a conical involute gear which utilizes the fabrication method of other involute gears such as spur and helical gears using a CNC hobbing machine is discussed.

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

  • 정인승;손지원;윤갑영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.2
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    • pp.296-303
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    • 1987
  • The composite gear which is composed of involute curve and circular arc has been studied. In the vicinity of pitch point, its profile is an involute curve, and in the dedenum, a circular arc. The curve in the dedendum is generated by the circular arc of the mating gear. Though the available range between minimum and maximum radius of circular arc can be given by existing tooth profile equation, there was no formulation which relates design parameters to the desired radius. It is attempted to get the formula for the radius of circular arc as a function of design parameters, such as unwounded angle, number of teeth, module, and pressure angle. The radius of circular arc, the chordal tooth thickness at working root circle, nominal bending stress, Hertz stress and contact ratio obtained from derived formula are compared with those of the existing design criteria. And these are compared with those of involute gear.

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

  • 탁계래;최상훈;윤갑영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.2
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    • pp.198-204
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    • 1987
  • In a new involute-circular arc tooth profile which is composed of an involute curve in the vicinity of pitch point, a circular arc in the addendum part, and a curve in the dedendum part which is generated by the circular arc profile of mating gear tooth profile, the tooth contact stress is calculated analytically and the root fillet stress is calculated by the finite element analysis. The root fillet stress and the Hertzian contact stress of composite tooth profile gear are decreased with increasing the pressure angle and with decreasing the radius of circular arc and unwound angle. Compared with the standard involute gear, the root fillet stress is decreased by 2-15% and the Hertizian contact stress is decreased by 6-24%.

Tooth Form Design of Involute Gear Type External Gear Pump (Involute 기어형식의 외접기어펌프 치형 설계)

  • Shim, Bo-Mi;Choi, Min-Han;Ahn, Jin-Woo;Che, Woo-Sung
    • Proceedings of the KIPE Conference
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    • 2011.07a
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    • pp.539-540
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    • 2011
  • 본 논문에서는 건설기계 및 운반기계, 차량의 유압장치(브레이크, 클러치 및 파워 스티어링 시스템)로 널리 사용되어지고 있는 외접기어펌프의 치형을 Involute 기어형식으로 설계하였다. 상용프로그램인 Pumplinx 프로그램을 통해 이 기어를 해석하여 효율 및 성능을 알아보았다.

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A study on Three Dimensional Configuration Scan by Photographing Parameters (스퍼기어의 3차원 모델링과 검증에 관한 연구)

  • 김세민;김민주;이승수;김순경;전언찬
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2001.10a
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    • pp.369-374
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    • 2001
  • Gear is general mechanical elements that used for power transmission between two shafts that interval is comparatively short. and it delivers big 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 shaped 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. This paper describes a mathematical model of profile shifted involute gear. and this model is based on Camus's theory. We draw three dimensions gear have accurate mathematical function using ADS, VisualLISP. and To check accuracy and perfection, we make a program of checking Interference. and use for this study.

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Characteristics of Two Dimensional Flow in an Involute Gear Pump (인벌류트 기어펌프의 2차원 유동특성)

  • Kim, S.H.;Son, H.M.;Lee, J.C.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.8 no.2
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    • pp.36-41
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    • 2011
  • Analysis of two-dimensional flow in an involute gear pump has been done by using FLUENT. Analysis extended to the turbulent flow includes the mass flow rate with functions of pressure difference between inlet and outlet, rotational velocities of involute gear, and clearances between tip of gear and housing. In general mass flow rate decreases with decreasing rotational velocity, and with increasing clearance and pressure difference. The flow rate efficiency of gear pump, which is defined with the theoretical flow rate, has been presented in terms of the above parameters.

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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A Study on The Tooth Creating Algorithms of The Cycloid Curve Gear and The Third Polynomial Curve Gear (사이클로이드 곡선 및 3차 다항식 곡선기어의 치형 설계에 관한 연구)

  • 최종근;윤경태
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.11 no.3
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    • pp.80-85
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    • 2002
  • The free curve gear is a non-circular gear without any relating center, which can perform free curve motion for complicated mechanisms, and minimize the work area. In this study, an algorithms for tooth profile generation of free curve involute gear is developed. The algorithm uses the involute gear creating principle in which a gear can be generated by rolling with another standard involute one. Cycloid me and third polynomial curve gears were designed and verified by computer graphics. These gears are manufactured in the wire-cut EDM and examined in engagement with a standard spur gear. The results showed that the proposed algorithm is successful to design and to manufacture the free curve gear with concave and convex profiles.

Kinematical Investigation and Geometry Modeling of the Perfect Involute Bevel Gearsets (완전한 인볼류트 베벨기어쌍의 기구학적 고찰 및 형상 모형화)

  • Park, N.G.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.5
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    • pp.46-56
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    • 1995
  • As demands on the precision bevel gears are increased in the related industry, the exact kinematical investigations of a pair of spherical involute bevel gears are required for the computer aided design. The exact angular velocity ratio based on the characteristics of the spherical involute tooth is derived and verified from the relationship between rotational angles. Elementary kinematics of the gearsets is investigated by applying the transformation of the coordinate systems. The tooth contact lines based on logarithmic tooth-wise curve are examines in three dimentional space. Contact ratio is formulated and simulated according to the system parameters such as shaft angles, pressure angle, and spiral angles. The condition of teeth interference is dervied and the critical numbers of gear teeth are calculated. The whole surface geometry of a spiral bevel gearsets are discretized and visualized by a computer graphic tool.

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An Analytical Investigation on the Ratio of Angular Velocity in Spherical Involute Bevel Gearsets (구형 인볼류트 베벨기어쌍의 각속도비에 관한 해석적 연구)

  • Park, N.G.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.5
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    • pp.40-45
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    • 1995
  • The kinematical relationship of bevel gearsets lies at the root of the gear design. As the demand on precision bevel gears is increased in the related industries, the kinematic analysis of a pair of sperical involute bevel gears needs to be exactly evaluated for the computer aided design. Pitch cone angles of bevel gearsets have been calculated under the assumption that the geared system is equivalent to a coned roller system without slipping. But this kinematical model involves some errors in the value of the ratio of angular velocity. In this paper, the ratio of the angular velocity is exactly derived, based on the perfect involute tooth surface. Four nonlinear equations representing the kinematical relationships are numerically solved to obtain the pitch and base cone angles. The ratios of angular volocities according to pressure and shaft angles are calculated and compared with those of the approximate gear model.

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