Modeling of Transmission Error of A Gear Pair with Modified Teeth

치형수정된 기어쌍의 치합전달오차 모델링

  • 주상훈 (대우국민차 기술연구소 P/T설계팀) ;
  • 노오현 (부산대학교 대학원 기계설계공학과) ;
  • 정동현 (진주 연암공업전문대학 기계설계과) ;
  • 배명호 (창원전문대학 자동차과) ;
  • 박노길 (부산대학교 공과대학 기계공학부)
  • Published : 1998.10.01

Abstract

In the gear manufacturing, tooth modification is usually applied for the prevention of tooth impact during the loading. In contrary, tooth profile error causes amplifying the whine noise which is cumbersome to reduce in the automobile gear box. So optimum quantity of the modifications must be obtained for the good performance in the vibrational sense. In this paper, a formulation to define the tooth curve by considering the profile manufacturing error and loading deformation of the gear tooth is suggested and the transmission error and loading deformation of the gear tooth is suggested and the transmission error with modified tooth in the gear system is evaluated. A pair of gear set is mathematically modelled. The equivalent excitation in the gear vibratonal model is formulated. For the experimental evaluaton on the derived transmission error function, a simple geared system is set up in which the gears are designed to give pre-designed tooth profile modification and manufactured by CNC Wire Cutting Machine. Under slow speed operaton, the transmission error of the gear pair is measured by using two rotational laser vibrometers, compared with the calculated one of which the result shows good agreement.

Keywords

References

  1. Transaction of SAE v.91 A Basic Approach to Gearbox Noise Prediction L.D.Mitchell;J.W.Daws
  2. 일본기계학회 논문집(C편) v.56 no.532 Representative Form Accuracy of Gear Tooth Flanks on the Prediction of Vibration and Noise of Power Transmission A. Kubo
  3. Proc. Inst. Mech. Eng. v.c404 no.027 Comparing Encoder and Accelerometer measurement of Transmission Error or Torsional Vibration J.D. Smith
  4. 일본기계학회 논문집(C편) v.59 no.564 Measurement of Transmission Error of Gears Using Laser Velocimeters S. Kato
  5. Ph.D. Thesis, North Carolina State Univ. Raleigh Analytical Investigation of Geared System Dynamics Containing Spur and Helical Gears Nogil Park.