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Design of Noncircular Gears for Wire EDM

비원형 기어의 와이어 방전가공을 위한 설계

  • Lee, Sung-Chul (Dept. of Mechanical Engineering, Inha Technical College)
  • 이성철 (인하공업전문대학, 기계과)
  • Published : 2008.10.31

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.

Keywords

References

  1. 香取英男, 非円形齒車, 日刊工業新聞社, 2001
  2. Townsend Dennis P., Gear handbook, McGraw-Hill, 1991
  3. Laczik, B., 'Involute profile of noncircular gears', http:// www.manuf.bme.hu/ Laczik/ Noncircular.pdf
  4. Chironis N. P., Mechanisms and mechanical devices sourcebook, 2nd edition, McGraw-Hill, 1996
  5. Maitra G. M., Handbook of Gear Design, McGraw-Hill, New Delhi, 1985
  6. Litvin F. L., Gear geometry and applied theory, Prentice Hall, 1994
  7. Bair B., 'Computer aided design of elliptical gears', ASME J. of Mechanical Design, Vol. 124, pp.787-793, 2002 https://doi.org/10.1115/1.1485092
  8. Figliolini G. and Angeles J., 'The synthesis of elliptical gears generated by shaper-cutters', ASME J. of Mechanical Design, Vol. 125, pp. 793-801, 2003 https://doi.org/10.1115/1.1631573
  9. Wu L., 'Mathematical model and undercutting analysis of elliptical gears generated by rack cutters', Mech. Mach. Theory, Vol. 31, No. 7, pp. 879-890, 1996 https://doi.org/10.1016/0094-114X(95)00121-E
  10. 고윤호, 최상훈, '타원계 비원형기어(엽형)의 설계에 관한 연구', 한국정밀공학회 '94년도 추계학술대회논문집, pp. 622-626
  11. 최상훈, '인벌류우트-트로코이드 치형을 갖는 타원계 엽형기어의 최소잇수에 관한 연구', 한국정밀공학회지, 제15권, 제5호, 1998
  12. 이성철, '타원형 기어의 와이어커팅을 위한 설계', 한국윤활학회지, 제23권, 제4호, pp. 149-155, 2007
  13. Rutter J., Geometry of curves, Chapman & Hall/CRC, 2000
  14. 이성철, 권오관, 'NC가공을 위한 인볼류트 곡선의 원호 근사화에 대한 연구', 대한기계학회논문집, 제19권, 제10호, pp. 2475-2483, 1995
  15. Angeles J. and Lopez-Cajun C. S., Optimization of cam mechanism, Kluwer Academic Publishers, 1991