계수기용 비인벌류트 치형의 내치차 설계와 물림해석
Design and Meshing Analysis of a Non-involute Internal Gear for Counters
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A counter gear transmits the rotation angle, so the angular velocity ratio of the gear does not necessarilyneed to be constant in the meshing process. As a pinion has a small number of teeth when combinedwith an internal gear for counters, tooth interference can occur with the use of an involute curve. This paperintroduces circular arcs that represent a tooth profile and fillet for the profile design of a pinion throughthe combination of arcs with lines. The straight line of a rack tooth represents the profile of a mating internalgear. Thus, the circular arc and line maintain contact during the rotation of the counter gear. This paperpresents an analysis of the meshing of the circular arc tooth and rack tooth along with the properties of thecounter gear, such as the change in rotational velocity and amount of backlash. The contact ratio of thecounter gear is 1 because the tooth contact occurs between circular arcs and line. The initial position oftooth 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 constraintsof the tooth profile in contact and the results are presented as graphical diagrams in which tooth-arc movementsare superimposed.
Abstract
A counter gear transmits the rotation angle, so the angular velocity ratio of the gear does not necessarilyneed to be constant in the meshing process. As a pinion has a small number of teeth when combinedwith an internal gear for counters, tooth interference can occur with the use of an involute curve. This paperintroduces circular arcs that represent a tooth profile and fillet for the profile design of a pinion throughthe combination of arcs with lines. The straight line of a rack tooth represents the profile of a mating internalgear. Thus, the circular arc and line maintain contact during the rotation of the counter gear. This paperpresents an analysis of the meshing of the circular arc tooth and rack tooth along with the properties of thecounter gear, such as the change in rotational velocity and amount of backlash. The contact ratio of thecounter gear is 1 because the tooth contact occurs between circular arcs and line. The initial position oftooth 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 constraintsof the tooth profile in contact and the results are presented as graphical diagrams in which tooth-arc movementsare superimposed.
참고문헌 (7)
- Colbourne, J. R, "The Geometry of Involute Gears", pp.259~ (1987), Springer-Verlag
- Stokes, Alec, "Gear Handbook: Design and Calculations", pp.21~ (1992), Butterworth Heinemann
- Adams, C. E, "Plastic Gearing" (1986), Marcel Dekker, Inc
- Precision Engineering Soc, "Handbook of Forming Plastic Gears" (1995), Sigma Press
- 이성철, "비원형 기어의 와이어 방전가공을 위한 설계", 한국윤활학회지, 24(5), pp.221~227 (2008), 한국윤활학회
- Jensen, P. W, "lassical and Modern Mechanisms for Engineers and Inventors", pp.92~ (1991), Marcel Dekker, Inc
- Maitra, G. M, "Handbook of Gear Design" (1985), McGraw- Hill