Deformation Characteristics of Gear System with a Profile Shift Coefficient Preserving Center Distance

중심 거리 불변의 전위 계수를 적용한 기어 시스템의 변형 특성 해석

  • 박수진 (부산대학교 대학원 기계설계공학과) ;
  • 유완석 (부산대학교 기계공학부)
  • Published : 2003.01.01


In this paper, elastic deformations of several gear teeth are analyzed. The contact between a gear and pinion is modeled as a contact problem. The deformation overlap, which is defined as the interference due to deformation of gear teeth, is defined to represent the deformation characteristics of profile shifted spur sear system. The calculated deformation overlap shows teeth interference in the deformed state of a Rear system.


Profile Shifted Spur Gear;Contact Problem;Deformation Characteristics;Deformation Overlap


  1. Van de Panne, Whinstone, A, 1964, 'The Simplex and the Dual Method for Quadratic Programming,' Operational Research Quarterly, Vol. 15, No.4, pp. 355-388
  2. Huh, G. J. and Park, S. J., 1999, 'A Study on the Profile Modification of Spur Gears for the Prevention of Gear Tooth Overlap by Deformation,' Journal of the Korean Society of Precision Engineering, Vol. 16, No.3, pp. 208-214
  3. Colbourne, J. R, 1987, The Geometry of Involute Gears, Springer-Verlag, New-York, pp. 212-218
  4. Bathe, K. J, 1996, Finite Element Procedures, Prentice-Hall International Editions, pp. 342-363, 622-628
  5. Umezawa, K. and Ishikawa, J, 1973, 'Deflection Due to Contact between Gear Teeth with Finite Width,' Bulletin of the JSME, Vol. 16, No. 97, pp. 1085-1093
  6. Wallace, D. B. and Seireg, A, 1973, 'Computer Simulation of Dynamic Stress, Deformation, and Fracture of Gear Teeth,' Transactions of the ASME, Journal of Engineering for Industry, Vol. 95, No.4, pp. 1108-1114
  7. Chabert, G, Dang Tran, T, Mathis, R, 1974, 'An Evaluation of Stresses and Deflection of Spur Gear Teeth under Strain,' Transactions of the ASME, Journal of Engineering, Vol. 96, No. 1, pp. 85-93
  8. Cardou, A. and Tordion, G. V, 1985, 'Calculation of Spur Gear Tooth Flexibility by the Complex Potential Method,' Transactions of the ASME, Journal of Mechanics, Transmissions, and Automation in Design, Vol. 107, pp. 38-42
  9. Fukunaga, K, 1987, 'A Strength Analysis of Spur Gears including Ratio of Contact,' Japan Society of Mechanical Engineers, Transactions Series C, Vol. 53, No. 489, pp. 1071-1076
  10. Stegemiller, M. E, 1993, 'A Three-dimensional Analysis of the Base Flexibility of Gear Teeth,' Transactions of the ASME, Journal of Mechanical Design, Vol. 115, pp. 186-192
  11. Gagnon, P, Gosselin, C. and Cloutier, L, 1997, 'Analysis of Spur and Straight Bevel Gear Teeth Deflection by the Finite Strip Method,' Transactions of the ASME, Journal of Mechanical Design, Vol. 119, pp. 421-426
  12. Huh, G. J, 1991, 'Constrained Variational Approach for Dynamic Analysis of Elastic Contact Problems,' Finite Element in Analysis and Design, Vol. 10, pp. 125-136
  13. Yau, E., Busby, H. R. and Houser, D. R., 1994, 'A Rayleigh-Ritz Approach to Modeling Bending and Shear Deformation of Gear Teeth,' Computer & Structures, Vol. 50, No.5, pp. 705-713
  14. Park, C. I.. and Lee, J. M., 1996, 'A Study on the Vibration Characteristics of Helical Gears with Tooth Errors,' Transactions of the KSME, A, Vol. 20, No.5, pp. 1534-1542
  15. Umezawa, K, 1972, 'Deflections and Moments Due to a Concentrated Load on a Rack-Shaped Cantilever Plate with Finite Width for Gears,' Bulletin of the JSME, Vol. 15, No. 79, pp. 116-130