• Title/Summary/Keyword: Tooth interference

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Design and Meshing Analysis of a Non-involute Internal Gear for Counters (계수기용 비인벌류트 치형의 내치차 설계와 물림해석)

  • Lee, Sung-Chul
    • Tribology and Lubricants
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    • v.30 no.4
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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.

Study on the Tooth modification for High Speed Gear (고속기어 치형 수정에 관한 연구)

  • 강형선;반재삼;이경원;조규종
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.1059-1062
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    • 2002
  • In this paper, after we make high speed gear requested high precision, we got data on the sound level is Max 60,000rpm for tooth modification. We make a decision about tooth modification after predicting exactly amount of tooth interference by FEM. The purpose of this research is that modified gear is to drive under stable sound level. To accomplish its, Beam elements are used to simulate the same condition as a real gear drive by FEM. From result of simulation and experiment, if it has holes to decrease whole weight of high speed gear, it is not good effect because it has much more deformation than not.

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Adaptive Extraction Method for Phase Foreground Region in Laser Interferometry of Gear

  • Xian Wang;Yichao Zhao;Chaoyang Ju;Chaoyong Zhang
    • Current Optics and Photonics
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    • v.7 no.4
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    • pp.387-397
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    • 2023
  • Tooth surface shape error is an important parameter in gear accuracy evaluation. When tooth surface shape error is measured by laser interferometry, the gear interferogram is highly distorted and the gray level distribution is not uniform. Therefore, it is important for gear interferometry to extract the foreground region from the gear interference fringe image directly and accurately. This paper presents an approach for foreground extraction in gear interference images by leveraging the sinusoidal variation characteristics shown by the interference fringes. A gray level mask with an adaptive threshold is established to capture the relevant features, while a local variance evaluation function is employed to analyze the fluctuation state of the interference image and derive a repair mask. By combining these masks, the foreground region is directly extracted. Comparative evaluations using qualitative and quantitative assessment methods are performed to compare the proposed algorithm with both reference results and traditional approaches. The experimental findings reveal a remarkable degree of matching between the algorithm and the reference results. As a result, this method shows great potential for widespread application in the foreground extraction of gear interference images.

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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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.

Study on the Tooth Modification for High Speed Gear by Finite Element Method (FEM을 이용한 고속기어 치형 수정에 관한 연구)

  • 반재삼;이경원;김규하;조규종
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.1
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    • pp.72-77
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    • 2003
  • The stable driving condition of high speed gear is approached by shape modifications of a gear tooth. Recently, many gear designers are using FEM for the design and the manufacture of a high precision gear. In this paper, it is aimed to drive in stable sound level through the modification of the tooth and the shape of a gear. The simulation is used to understand the effect of holes for the decrement of weight and the stress variation for the tooth modification. Beam elements used to simulate the same condition as a real gear drive by FEM. The driven gear is simulated to 60,000rpm for the tooth modification.

Gear Teeth Modification for a 2.5MW Wind Turbine Gearbox (2.5MW 풍력발전기 기어박스 치형수정)

  • Lee, Hyoung Woo;Kang, Dong-Kwon
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.23 no.2
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    • pp.109-117
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    • 2014
  • This paper reports a method to modify the gear tooth profile of a wind turbine gearbox to reduce the noise caused by the impact of the gear teeth. The major causes of tooth impact are the elastic deformation of the gear teeth, shafts, and case of the gearbox under loading, and the fabrication tolerances in gear manufacturing. In this study, the tooth profile was modified considering the elastic deformation of the gear tooth and the tooth lead modification to compensate for tooth interference in the lead direction as a result of shaft deformations. The method was applied to the gearbox of a 2.5MW wind turbine, and the transmission error was characterized before and after modifying the gear teeth. For the modified gear teeth, the transmission error (67.6%) was lower by 17.8%. Additionally, the gear contact stress was reduced by 6.3%, to 22.3%.

A CASE REPORT ON THE SPACE MAINTAINER USING PRIMARY MOLAR HEMISECTION (유구치의 편측치아절제술을 이용한 공간유지장치)

  • Kim, Jun-Hyun;Lee, Jae-Ho;Kim, Seang-Oh;Shon, Heung-Ky
    • Journal of the korean academy of Pediatric Dentistry
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    • v.24 no.4
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    • pp.776-780
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    • 1997
  • Patient with alveolar abscess due to dental caries with severe alveolar bone loss, severe tooth mobility, root resorption need extraction of tooth because it is impossible to carry out pulp treatment and restoration by using conventional method. Early loss of primary molar might cause masticatory interference, extrusion of opposing tooth, problem in maintaining space and interference on eruption of permanent tooth. Especially, early loss of primary second molar before the eruption of permanent first molar might cause space closure by mesially erupted permanent first molar and impaction of second premolar. In such a case, distal shoe space maintainer and removable space regaining appliance was the first choice of treatment. But, distal shoe space maintainer need precise adaptation and might cause chronic inflammation if the oral hygiene is poor. In a case using removable space regaining appliance, patient's cooperation is most important. If the distal root of primary second molar is comparably sound and alveolar abscess with alveolar bone loss is localized at mesial root, hemisection should be carried out for precise guide to eruption of the permanent first molar, restoration of masticatory fuction and solution to the discomfort of the patient

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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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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.