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Nonlinear Dynamic Characteristics of Gear Driving Systems with Periodic Meshing Stiffness Variation and Backlash

주기적 물림강성 변화와 백래쉬에 의한 기어구동계의 비선형 동특성

  • 조윤수 (성균관대학교 대학원 기계설계학과) ;
  • 최연선 (성균관대학교 기계공학부)
  • Published : 2002.12.01

Abstract

Main sources of the nitration of a gear-pair system are backlash and transmission error, the difference between required and actual rotation during gear meshing. This paper presents the nonlinear dynamic characteristics of gear motions due to the existence of backlash and periodic variation of meshing stiffness, which is assumed as a one-term harmonic component. Gear motions are classified as three types with the consideration of backlash. Each response is calculated using the harmonic balance method and confirmed by numerical integration. The responses with the increase of the rotating speed show abrupt changes in its magnitude for the variation of the preload, exciting force, and damping coefficient. The result also shows that there is a chaotic motion with some specific design parameters and operating conditions In gear diving system. Consequently the design of gear driving system with low nitration and noise requires the study on the effects of nonlinear dynamic characteristics due to stiffness variation and backlash.

Keywords

References

  1. Tavakoli. M. S. and Houser. D. R., 1986. 'Optimum Profile Modifications for the Mini-nization of Static Transmission Errors of Spur Gears,' ASME. Journal of Engineering for hdustry. Vol. 108, pp. 86-94
  2. Kahraman. A. and Singh, R., 1990, 'Non linear Dynamics of a Spur Gear Pair.' Journal of Sound and Vibration. Vol. 142. No. 1. pp. 49-75 https://doi.org/10.1016/0022-460X(90)90582-K
  3. Theodossiades. S. and Natsiavas. S., 2000, 'Non-linear Dynamics of Gear-Pair Systems with Periodic Stiffness and Backlash.' Journal of Sound and Vibration, Vol. 229, No. 2. pp. 287-310 https://doi.org/10.1006/jsvi.1999.2490
  4. Nayfeh. A. H. and Balachandran. B., 1995. Applied Nonlinear Dynamics, John Wiley & Sons, Inc.
  5. Peter Hagedorn. 1982. Non-linear Oscillations. Oxford
  6. 주상훈, 노오현, 정동현, 배명호, 박노길. 1998, '치형수정된 기어쌍의 치합전달오차 모델링,' 한국소 음진동공차회논문집, 제 8귄, 제 5호, PP. 841 -848

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