Based on the theory of lumped parameters, a translation-torsion coupling nonlinear dynamic model of herringbone planetary gear train was presented. The model considers multiple meshing phase relationship of the herringbone planetary gear transmission system, time varying meshing stiffness is derived. The support stiffness and error excitation of each member are considered synthetically. The effects of meshing phase on load sharing of the herringbone planetary gear is studied, the results show that:in the condition of ideal mesh, when meshing phase coefficient of the uniform type herringbone gear planetary gear system is 0, the system load sharing coefficient is 1, and the system translational vibration was inhibited; When meshing phase coefficient of the non uniform type herringbone gear planetary gear system is 0, the system load sharing coefficient is 1, and the system translational vibration was partly inhibited. The load sharing coefficient of herringbone planetary gear system with 0 meshing phase is smaller than that with different meshing phase. Geometry phase adjustments don't change the transmission ratio and size of the herringbone planetary train. Adjustments of the relations of planetary gear tooth number, although the transmission ratio and the size of the system will change slightly, but the load sharing coefficients are more smaller, and the system translational vibration was inhibited. The load sharing experimental study of planetary gear system with different meshing phase is conducted on single stage test herringbone planetary gear bench, which verifies the theoretical analysis.
ZHANG Linlin
,
ZHU Rupeng
. Impact of Meshing Phase on Load Sharing for Herringbone Planetary Trai[J]. Journal of Mechanical Engineering, 2018
, 54(11)
: 129
-140
.
DOI: 10.3901/JME.2018.11.129
[1] BODAS A, KAHRAMAN A. Influence of carrier and gear manufacturing errors on static load sharing behavior of planetary[J]. JSME International Journal, Series C, 2004, 47(3):908-915.
[2] LIGATA H, KAHRAMAN A, SINGH A. An experimental study of the influence of manufacturing errors on the planetary gear stresses and planet load sharing[J]. ASME, Journal of Mechanical Design, 2008, 130(4):137-139.
[3] SINGH A. Epicyclic load sharing map-developmengt and valadation[J]. Mechanism and Machine Theory, 2011, 46(5):632-646.
[4] BOGUSKI B KAHRAMAN A, NISHINO T A. New method to measure planet load sharing and sun gear radial orbit of planetary gear sets[J]. Journal of Mechanical Design, 2012, 134(7):169-180.
[5] 孙智民,沈允文,李素有.封闭行星齿轮传动系统的动态特性研究[J].机械工程学报, 2002, 38(2):44-48. SUN Zhimin, SHEN Yunwen, LI Suyou. Study on dynamic behavior of encased differential gear train[J]. Chinese Journal of Mechanical Engineering, 2002, 38(2):44-48.
[6] 陆俊华,李斌,朱如鹏. 行星齿轮传动静力学均载分析[J]. 机械科学与技术, 2005, 24(6):702-704. LU Junhua, LI Bin, ZHU Rupeng. Analysis of static load sharing in planetary gearing[J]. Mechanical Science and Technology, 2005, 24(6):702-704.
[7] 朱增宝,朱如鹏,鲍和云,等. 偏心与齿频误差对封闭差动人字齿轮传动系统动态均载特性的影响分析[J]. 航空动力学报, 2011, 26(11):2601-2609. ZHU Zengbao, ZHU Rupeng, BAO Heyun, et al. Impact of run-out and meshing-frequency erroers in dynamic load sharing for enchased differential herringbone train[J]. Journal of Aerospace Power, 2011, 26(11):2601-2609.
[8] 朱增宝,朱如鹏,李应生. 安装误差对封闭差动人字齿轮传动系统动态均载特性的影响[J].机械工程学报, 2012, 48(3):16-24. ZHU Zengbao, ZHU Rupeng, LI Yingsheng. Impact of installation error on danamics load sharing characteristic of encaced differential herringbone train[J]. Journal of Mechanical Engineering, 2012, 48(3):16-24.
[9] 徐向阳,朱才朝,刘怀举,等. 柔性销轴式风电齿轮箱行星传动均载研究[J]. 机械工程学报, 2014, 50(11):43-49. XU Xiangyang, ZHU Caichao, LIU Huaiju, et al. Load sharing research of planetary gear transmission system of wind turbine gearbox with flexible pins[J]. Journal of Mechanical Engineering, 2014, 50(11):43-49.
[10] 谭援强, 胡聪芳,张跃春,等. 封闭差动行星齿轮箱动态均载性能试验研究[J]. 机械工程学报, 2016, 52(9):28-35. TAN Yuanqiang, HU Congfang, ZHANG Yuechun, et al. Testing research on dynamic load sharing performance of encased differential planetary gearbox[J]. Journal of Mechanical Engineering, 2016, 52(9):28-35.
[11] SCHLEGEL R G, MARD K C. Transmission noise control-approaches in helicopter design[C]//American Society of Mechanical Engineers Design Engineering Conference, 1967. New York:ASME, 1967:67-DE-58.
[12] SEAGER D L. Conditions for neutralization of excitation by the teeth in epicyclic gearing[J]. Journal of Mechanical Engineering Science, 1975, 45(17):293-299.
[13] PALMER W E, FUEHRER R R. Noise control in planetary transmissions[C]//Earth Moving Industry Conference, 1977:770561.
[14] HIDAKA T, TERAUCHI Y, NAGAMURA K. Dynamic behavior of planetary gear-6th report, influence of meshing-phase[J]. Bulletin of JSME, 1978, 387(44):3966-3975.
[15] KAHRAMAN A. Planetary gear train dynamics[J]. Journal of Mechanical Design, 1994, 116(3):713-720.
[16] KAHRAMAN A, BLANKENSHIP G W. Planet mesh phasing in epicyclic gear sets[C]//Proceedings of International Gearing Conference, 1994:99-104.
[17] PARKER R G. A physical explanation of the effectiveness of planet phasing to suppress planetary gear vibration[J]. Journal of Sound and Vibration, 2000, 236(4):561-573
[18] PARKER R G, LIN J. Mesh phasing relationships in planetary and epicyclic gear[J]. Journal of Mechanical Design, 2004, 126(2):525-534.
[19] 王世宇. 基于相位调谐的直齿行星齿轮传动动力学理论与试验研究[D]. 天津:天津大学, 2005. WANG Shiyu. Theoretical and experimental study on the dynamics of spur planetary gear transmission based on phase tuning[D]. Tianjin:Tianjin University, 2005.
[20] 沈稼耕. 计入啮合相位的人字齿行星齿轮系统动力学研究[D]. 南京:南京航空航天大学, 2014. SHEN Jiageng. Research on dynamics of herringbone planetary gear trains based on mesh phasing[D]. Nanjing:Nanjing University of Aeronautics & Astronautics, 2014.
[21] 谢帮,王世宇. 锥齿行星齿轮传动相位调谐研究[J]. 振动工程学报, 2016, 29(1):69-77. XIE Bang, WANG Shiyu. Study on phase tuning of bevel planetary gear transmission[J] Journal of Vibration Engineering, 2016, 29(1):69-77.
[22] MAATAR M, VELEX P. An analytical expression for the time-varying contact length in perfect gylindrical gears:Some possible applications in gear dynamics[J]. Journal of Mechanical Design, 1996, 118(4):586-589.