An investigation on the influence of modification parameters on transmission characteristics of planetary gear system

다국어 초록 (Multilingual Abstract)

A new gear tooth modification model of planetary gear system was established by considering the characteristics of tooth longitudinal crowning modification and tooth profile modification. Using this model, the influences of modification parameters on the time-varying mesh stiffness, transmission error, contact spots and dynamic response of the planetary gear system were analyzed through numerical analysis. The results show that tooth profile modification can effectively restrain the mesh stiffness sudden variation in the single and double tooth alternation of both the internal and external mesh pairs, and significantly decrease the transmission error fluctuation. However, longitudinal crowning modification has no marked influence on mesh stiffness sudden variation or transmission error fluctuation.
The tooth profile modification can significantly reduce the sudden variation of tooth surface load during gear mesh course. Longitudinal crowning modification can make the tooth surface load evenly distributed in tooth width direction. When the external meshing pairs are modified at the tooth profile individually, the magnitude values of main response resonance peaks of internal meshing pairs have a great reduction, but those values of external meshing pairs change slightly. In the case of tooth profile modification of the internal meshing pairs, the phenomenon is reversed. By contrast with tooth profile modification, longitudinal crowning modification has little influence on the resonance peaks of internal and external meshing pairs.

참고문헌 (Reference)

1 Y. A. Tesfahunegn, "The effects of the shape of tooth profile modifications on the transmission error bending, and contact stress of spur gears" 224 (224): 1749-1758, 2011

2 M. T. Khabou, "Study of a spur gear dynamic behavior in transient regime" 25 (25): 3089-3101, 2011

3 S. Wu, "Simulation of spur gear dynamics and estimation of fault growth" 317 (317): 608-624, 2008

4 X. Xu, "Research on dynamical characteristics of planetary gear system with tooth pitting" 18 (18): 4419-4429, 2016

5 M. S. Takakoli, "Optimum profile modifications for the minimization of static transmission errors of spur gears" 108 (108): 86-95, 1986

6 Xigui Wang, "Multi-objective optimization modification of a tooth surface with minimum of flash temperature and vibration acceleration RMS" 대한기계학회 32 (32): 3097-3106, 2018

7 Z. Chen, "Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack" 62 : 63-74, 2013

8 A. Kahraman, "Gear dynamics experiments, Part-III: Effect of involute tip relief" 88 : 389-391, 1996

9 A. S. Pramono, "Experimental study of the influence of tooth profile modifications on spur gear dynamic strain and vibration" 306-308 : 79-84, 2006

10 S. Liu, "Effects of tooth modifications on mesh characteristics of crossed beveloid gear pair with small shaft angle" 119 : 142-160, 2018

11 Shuaishuai Wang, "Effects of gear modifications on the dynamic characteristics of wind turbine gearbox considering elastic support of the gearbox" 대한기계학회 31 (31): 1079-1088, 2017

12 A. Kahraman, "Effect of involute tip relief on dynamic response of spur gear pairs" 121 (121): 313-315, 1999

13 G. Liu, "Dynamic modeling and analysis of tooth profile modification for multimesh gear vibration" 130 (130): 1-13, 2008

14 K. Ohno, "Contact stress analysis for helical gear with 3-dimensional finite element method. The profile correction amount to reduce the PV factor of helical gear teeth" 64 (64): 4821-4826, 1998

15 M. Feng, "An improved analytical method for calculating time-varying mesh stiffness of helical gears" 53 (53): 1131-1145, 2018