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비원형 기어의 와이어 방전가공을 위한 설계

Design of noncircular gears for wire EDM

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주제분류기계공학

초록

This paper presents a step-by-step design of noncircular gears. From the diagram of angular velocity ratio of a noncircular gear pair, the pitch curves of the two mating gears are determined, and the perimeter of the pitch curve has been divided into equal-length segments by the number of teeth. A master tooth profile, which is a composite curve of circular arcs that represents involute, has been introduced. A noncircular gear pair has been designed by imposing the master tooth on the divided points of the pitch curve, and a full fillet has been achieved between neighbour teeth. Thus, the whole profile of the noncircular gear is a composite curve of arcs only, and consequently NC codes for wire EDM can be easily generated.

Abstract

This paper presents a step-by-step design of noncircular gears. From the diagram of angular velocity ratio of a noncircular gear pair, the pitch curves of the two mating gears are determined, and the perimeter of the pitch curve has been divided into equal-length segments by the number of teeth. A master tooth profile, which is a composite curve of circular arcs that represents involute, has been introduced. A noncircular gear pair has been designed by imposing the master tooth on the divided points of the pitch curve, and a full fillet has been achieved between neighbour teeth. Thus, the whole profile of the noncircular gear is a composite curve of arcs only, and consequently NC codes for wire EDM can be easily generated.

참고문헌 (15)

  1. "Involute profile of noncircular gears"[URL]
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  4. Litvin F.L., "Gear geometry and applied theory" (1994), Prentice Hall
  5. Bair B., "Computer aided design of elliptical gears", ASME J.of Mechanical Design, 124, pp.787~793 (2002)
  6. Figliolini G., "The synthesis of elliptical gears generated by shaper-cutters", ASME J.of Mechanical Design, 125, pp.793~801 (2003)
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  8. 고윤호, "타원계 비원형기어(엽형)의 설계에 관한 연구", 한국정밀공학회 ‘94년도 추계학술대회 논문집, pp.622~626 (1994)
  9. 최상훈, "인벌류우트-트로코이드 치형을 갖는 타원 계 엽형기어의 최소잇수에 관한 연구", 한국정밀공 학회지, 15(5) (1998)
  10. 이성철, "타원형 기어의 와이어커팅을 위한 설계", 한국윤활학회지, 23(4), pp.149~155 (2007)
  11. 香取英男, "非円形齒車" (2001), 日刊工業新聞社
  12. Townsend Dennis P., "Gear handbook" (1991), McGraw-Hill
  13. Rutter J., "Geometry of curves", pp.2000, Chapman & Hall
  14. 이성철, "NC가공을 위한 인볼류트 곡선의 원호 근사화에 대한 연구", 대한기계학회논문집, 19(10), pp.2475~2483 (1995)
  15. Angeles J., "Optimization of cam mechanism" (1991), Kluwer Academic Publishers

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