There is modulation in the spectrum of planetary gear sets’ vibration signal, which is similar to those of fixed-shaft gear sets’ fault signal. In order to explore the vibration mechanism of planetary gear sets, the characteristics of planetary gear sets vibration is further studied during the power transmission. Experiments and simulation results demonstrated how the vibration is influenced by meshing gear-pair in the transmission path of the planetary gear sets with a fixed ring gear. Meanwhile, considering the variation of meshing force in cyclic periods during the transmission, a mathematical model is established to describe the mechanism. Two types of planetary gear sets with different structures are investigated by simulation analyses to reveal the reason why the modulation sidebands exhibited. Experiments on a wind turbine planetary gearbox validate the effectiveness and correctness of the proposed model.
HUANG Yihong
,
DING Kang
,
HE Guolin
. Mathematical Model of Planetary Gear Sets’ Vibration Signal and Characteristic Frequency Analysis[J]. Journal of Mechanical Engineering, 2016
, 52(7)
: 46
-53
.
DOI: 10.3901/JME.2016.07.046
[1] HAMEED Z,HONG Y,CHO Y,et al. Condition monitoring and fault detection of wind turbines and related algorithms：A review[J]. Renewable and Sustainable Energy Reviews,2009,13(1)：1-39.
[2] PATRICK R,ORCHARD ME,ZHANG Bin,et al. An integrated approach to helicopter planetary gear fault diagnosis and failure prognosis[C]//42nd Annual Systems Readiness Technology Conference,September 17-20,2007,Baltimore,Maryland,USA,2007：547-552.
[3] BARSZCZ T,RANDALL R B. Application of spectral kurtosis for detection of a tooth crack in the planetary gear of a wind turbine[J]. Mechanical Systems and Signal Processing,2009,23(4)：1352-1365.
[4] INALPOLAT M,KAHRAMAN A. A theoretical and experimental investigation of modulation sidebands of planetary gear sets[J]. Journal of Sound and Vibration,2009,323(4)：677-696.
[5] FENG Zhipeng,ZUO Mingjian. Fault diagnosis of planetary gearboxes via torsional vibration signal analysis[J]. Mechanical Systems and Signal Processing,2013,36(2)：401-421.
[6] CHEN Zaigang,SHAO Yimin,SU Daizhong. Dynamic simulation of planetary gear set with flexible spur ring gear[J]. Journal of Sound and Vibration,2013,332(26)：7191-7204.
[7] HELSEN J,VANHOLLEBEKE F,MARRANT B,et al. Multibody modelling of varying complexity for modal behaviour analysis of wind turbine gearboxes[J]. Renewable Energy,2011,36 (11)：3098-3113.
[8] HELSEN J,MARRANT B,VANHOLLEBEKE F,et al. Assessment of excitation mechanisms and structural flexibility influence in excitation propagation in multi-megawatt wind turbine gearboxes：Experiments and flexible multibody model optimization[J]. Mechanical Systems and Signal Processing,2013,40(1)：114-135.
[9] SHARMA S,MAHTO D. Condition monitoring of wind turbines：A review[J]. Int. J. Sci. Eng. Res.,2013,4(8)：35-50.
[10] VILLA F,RENONES A,PERAN R,et al. Statistical fault diagnosis based on vibration analysis for gear test- bench under non-stationary conditions of speed and load [J]. Mechanical Systems and Signal Processing,2012,29：436-446.
[11] HINES A,MUENCHD S,KELLER A,et a1. Effects of time-synchronous averaging implementations on HUMS features for UH-60A planetary carrier cracking[C]// American Helicopter Society 61st Annual Forum,June,2005,Grapevine,TX,USA,2005,1：2l8-227.
[12] VICUNA M. Effects of operating conditions on the acoustic emissions (AE) from planetary gearboxes[J]. Applied Acoustics,2014,77(5)：150-158.
[13] SAMUEL P,PINESD J. Health monitoring and damage detection of a rotorcraft planetary gear train system using piezoelectric sensors [C]//Proceedings of SPIE,March 3,1997,San Diego,CA,USA,1997：44-53.
[14] FAN Changbo,ZHANG Laibin,YIN Shugen,et al. Using inverse spectrum analysis method to diagnose complex fault of wind power dynamotor gearbox[J]. Science Technology and Engineering,2006,6(2)：187-189.
[15] SINGLETON K. Analysis of two stage planetary gearbox vibration[R]. Olney, Maryland：KSC Consulting LLC,2006.
[16] YANG Wenxian,CHRISTIAN L,RICHARD C. S-transform and its contribution to wind turbine condition monitoring[J]. Renewable Energy,2014,62(2)：137-146.
[17] FENG Zhipeng,ZUO Mingjian. Vibration signal models for fault diagnosis of planetary gearboxes[J]. Journal of Sound and Vibration,2012,331(22)：4919-4939.
[18] FENG Zhipeng,MING Liang,ZHANG Yi,et al. Faultdiagnosis for wind turbine planetary gearboxes via demodulation analysis based on ensemble empirical mode decomposition and energy separation[J]. Renewable Energy,2012,47：112-126.
