Low-loss gears are designed and applied in high-speed-ratio planetary gear transmission to improve its efficiency. Here, a multi-DOF pure torsional system dynamic model for a high-speed-ratio planetary gear transmission with low-loss gears was established using the lumped-parameter method. Natural frequencies and corresponding modal shape vectors of the system were gained by solving the system’s eigen-problem, so the natural characteristics of the high-speed-ratio planetary gear transmission system were obtained. Through studying the relationship between the system’s resonance rotating speeds and natural frequencies, the correctness of the pure torsional dynamic model was verified. Finally, the effects of low-loss gears on the dynamic characteristics of this transmission system were analyzed. Results showed that when the overlap ratio of low-loss gear pairs is designed within a certain range, the transmission system has a higher efficiency and a smaller vibration.
夏炀志强， 秦大同. 基于低耗齿轮的大速比行星齿轮传动固有特性及振动分析[J]. 振动与冲击, 2018, 37(2): 242-247.
XIA YANG Zhi-qiang QIN Da-tong. Natural characteristics and vibration of a high-speed-ratio planetary gear transmission with low-loss gears. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(2): 242-247.
[1] 饶振刚. 微型行星齿轮传动的设计研究[J]. 传动技术，2010, 29(4): 107-110.
RAO Zhen-gang. Design and research of the miniature planetary gear [J]. Drive system technique, 2010, 29(4): 107-110.
[2] 曹焕亚，钱 安. 封闭3K行星传动中不产生循环功率流的结构分析[J]. 华东船舶工业学院学报，1996, 10(4): 50-53.
CAO Huan-ya, QIAN An. Analysis of no producing circulatory power flow in closed 3K planetary gear drive [J]. Journal of east China shipbuliding institute, 1996, 10(4): 50-53.
[3] 卢存光，段钦华. 3K型行星轮系的单元分析法[J]. 机械设计与研究，2009, 25(6): 22-24.
LU Cun-guang, DUAN Qin-hua. The unit analysis method of 3k type planetary gear trains [J]. Machine design and research, 2009,25(6): 22-24.
[4] Jonathon W. Efficiency of high-sensitivity gear trains, such as cycloid drives [J]. Journal of mechanical design, 2013,135(7):071006.
[5] Hohn BR. Future transmissions for wind turbines [J]. Applied mechanics and materials, 2011,86:18-25.
[6] Hohn BR, Michaelis K, Wimmer A. Low loss gears [J]. Gear technology, 2007,24(4):28-35.
[7] Kahraman A. Natural modes of planetary gear trains [J]. Journal Of sound and vibration,1994,173(1):125-130.
[8] Lin J, Parker RG. Planetary gear parametric instability caused by mesh stiffness variation [J]. Journal of sound and vibration, 2002,249(1):129-145.
[9] 孙涛，沈允文，孙智民，等. 行星齿轮传动非线性动力学模型与方程[J]. 机械工程学报，2002, 38(3): 6-10.
SUN Tao, SHEN Yun-wen, SUN Zhi-min,etal. Study on nonlinear dynamic behavior of planetary gear train dynamic model and governing equations [J]. Journal of mechanical engineering. 2002, 38(3):6-10.
[10]宋轶民，张俊，张君，等. 3K-ІІ型直齿行星齿轮传动的固有特性[J]. 机械工程学报，2009,45(7):23-28.
SONG Yi-min, ZHANG Jun, ZHANG Jun, etal. Inherent characteristics of 3K-ІІ spur planetary gear trains [J]. Journal of mechanical engineering. 2009, 45(7): 23-28.
[11] Hohn BR. Optimization of gearbox efficiency [J]. Fuels and lubricants, 2009,48(4):462-480.
[12]杨武山，廖汉元. 直齿圆柱齿轮传动的啮合效率分析[J]. 武汉交通科技大学学报，1998,22(6):617-619.
YANG Wu-shan, LIAO Han-yuan. Gearing efficiency analysis of the spur gearset [J]. Journal of Wuhan Transportation University . 1998, 22(6): 617-619.
[13]姚建初，陈义保，周济，等. 齿轮传动啮合效率计算方法的研究[J]. 机械工程学报，2001,37(11):18-21.
YAO Jian-chu, CHENG Yi-bao, ZHOU Ji, etal. Study on a method for calculating gearing meshing efficiency [J]. Journal of mechanical engineering. 2001, 37(11): 18-21.
[14]日本机械学会. 齿轮强度设计资料[M]. 李茹珍，赵清慧，译. 北京：机械工业出版社，1984.
JSME. Design of gear strength [M]. LI Ru-zhen, ZHAO Qing-hui. Beijing: China machine press, 1984.
