• 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.

• 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.

• 대한기계학회논문집
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• 제10권6호
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• pp.870-875
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• 1986

본 연구에서는 랙의 이끝부분을 full-rounded tip으로 설계한 후, 이에 의하 여 창성되는 피니언의 이뿌리곡선을 구하여 전체치형을 완성하였다. 그리고 합성치 형기어의 미끄름율, 유효이뿌리원에서의 공칭굽힘응력과 두쌍접촉호의 길이대 원호부 분접촉호의 길이의 비인 접촉계수를 해석적인 방법으로 구하였다.또한 이들 특성들 과 물림율등 제특성을 비교.검토하여 공구압력각, 인벌류우트부분의 크기를 나타내는 물림각 및 원호반경등의 변화에 대한 제특성의 변화를 고려한 합성치형의 성능을 향상 시킬 수 있는 설계방법을 구하였으며, 합성치형과 표준인버류우트치형을 비교하였다.

• 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.

• 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.

• Structural Engineering and Mechanics
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• 제43권4호
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• pp.439-448
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• 2012

This paper investigates the load sharing of double circular arc helical gears considering the influence of assembly errors. Based on a load sharing formulae, a three-dimensional finite element tooth contact analysis (TCA) is implemented with commercial software package ANSYS. The finite element grid for the double circular arc gear contact model is automatically generated by using the APDL (ANSYS Parameter Design Language) embedded in ANSYS. The realistic rotation of gears is achieved by using a coupling degree-of-freedom method. Numerical simulations are carried out to exemplify the proposed approach. The distribution of contact stress and bending stress under specific loading conditions are computed and compared with those obtained from Hertz contact theory and empirical formulae to demonstrate the efficiency of the proposed load sharing calculation formulae and TCA approach.

• 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.

• 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

• 대한치과보철학회지
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• 제42권1호
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• pp.1-10
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• 2004

Statement of problem : Tooth wear is physiological phenomenon. Ninety-seven percent of normal people have tooth wear and about 7% has pathologic teeth wear. If we know the amount of tooth surface loss caused by pathologic tooth wear, we may restore it ideally Purpose : Recently measurement of tooth wear by using 3D scan has been increasing. Therefore, we need to know how accurate 3D scan is. Past accuracy test on 3D scan was about linear change, but as we know that tooth wear is volume change. Thus, the purpose of this study is to know how accurate 3D scan is. Material and Methods : For accuracy test of 3D scanner volume values measured by 3D scanner and micro-balance were compared. For test I, preliminary, 3 ball samples and 3 circular cones were made with pattern resin. For test II, 10 teeth shape rubber samples were used. Results and Conclusion : 1. The result of the accuracy test on 3D scan with 3 ball samples and 3 circular cones made of pattern resin has no significant difference(p<0.05). 2. The result of the accuracy test on 3D scan with 10 samples of tooth shape rubber has no significant difference (p<0.05). As a result, we may concluded the analysis of quantifying tooth wear used by 3D scan is useful in the clinic.

• 동력기계공학회지
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• 제10권4호
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• pp.119-126
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• 2006

Gerotor hydraulic motor is widely used in hydraulic systems due to its low speed, high torque output and compactness in rotational direct driving of a heavy weight. Gerotor is a Planar mechanism consisted of a pair of rotor and circular teeth of stator assembly which forms a closed space, so called a chamber. The motion of rotor relative to the circular tooth is produced by the pressure difference of hydraulic operating fluid between the adjacent chamber. As all active contact points of rotor and circular teeth are subjected to very high sliding friction, a reduction in the performance of the gerotor hydraulic motor can not be avoided. Therefore, the core design parameters of gerotor profile used in hydraulic motors is to minimize a friction force by high contact stresses. The analytical design method of gerotor profile, based on envelope of a family of curves, is proposed. In this study, the influence of the tip clearances on three critical contact points between rotor and circular teeth of stator assembly has been explored by experimental data in this paper. At the same time a improvement method to reduce the friction force is proposed and the tip clearances on three critical points for getting an optimum gerotor profile are also analyzed.