在行星传动系统振动信号频谱中,存在类似于定轴齿轮传动系统故障信号的调制边带。为了研究行星齿轮传动系统的振动机理,深入研究行星齿轮啮合过程振动信号的传递特点,通过试验与仿真,分析验证了齿圈固定式行星齿轮箱振动信号受传递路径影响的变化规律,结合行星齿轮啮合过程中啮合力的周期性变化影响,推导了行星齿轮传动系统振动信号数学模型。通过仿真分析了两种不同结构类型行星齿轮传动系统振动信号的频谱特性,并分析了啮合频率周围调制边带产生的原因。最后进行了风电齿轮箱的现场测试,通过分析实测振动信号验证了所建立数学模型计算结果的正确性。
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.
[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.
