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Frontiers of Mechanical Engineering

Front Mech Eng    2013, Vol. 8 Issue (1) : 88-94     https://doi.org/10.1007/s11465-013-0361-8
RESEARCH ARTICLE |
Analysis of planetary gear transmission in non-stationary operations
Fakher CHAARI1(), Mohamed Slim ABBES1, Fernando Viadero RUEDA2, Alfonso Fernandez del RINCON2, Mohamed HADDAR1
1. Dynamics of Mechanical Systems Research Unit, National School of Engineers of Sfax, BP 1173, 3038 Sfax, Tunisia; 2. University of Cantabria, Santander 39005, Spain
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Abstract

Planetary gearboxes operate usually in non-stationary conditions generated mainly by variable loads applied to these transmissions. In order to understand the dynamic behavior of planetary gearboxes in such conditions, a mathematic model is developed including driving unit, transmission and load. The variability of load induces a variable speed of the transmission which is taken into account when characterizing the main dynamic parameter of the transmission which is the mesh stiffness function. This function is not periodic following the variability of the transmission speed. The computation of the dynamic response shows an intimate relation between the vibration amplitude level and the load value. As the load increase the vibration level increase. A combined amplitude and frequency modulation is observed which is well characterized using Short Time Fourier transform more suited than the spectral analysis.

Keywords planetary gearbox      non-stationary conditions      variable load      dynamic response      time frequency analysis     
Corresponding Authors: CHAARI Fakher,Email:fakher.chaari@gmail.com   
Issue Date: 05 March 2013
 Cite this article:   
Fakher CHAARI,Mohamed Slim ABBES,Fernando Viadero RUEDA, et al. Analysis of planetary gear transmission in non-stationary operations[J]. Front Mech Eng, 2013, 8(1): 88-94.
 URL:  
http://journal.hep.com.cn/fme/EN/10.1007/s11465-013-0361-8
http://journal.hep.com.cn/fme/EN/Y2013/V8/I1/88
Fig.1  Model of Planetary gear transmission
Fig.2  Phase shift on the sun-gear component
ParameterSun RingCarrierPlanet
Teeth number39934027
Module3
Mass/kg2.32.94150.885
I/r2/kg1.363.797.50.5
Base radius/m0.0780.1860.132
Pressure angle /(°) 20
Bearing stiffness/(N?m-1) ksx=ksy=108ksu=0krx=kry=108kru=1015kcx=kcy=108kcu=0kpn=108
Bearing damping/(N?s?m-1)csx=300,csy=100 csu=10crx=450,cry=100cru=1000ccx=300,ccy=100cru=10Cpn=250
Tab.1  Parameters of the planetary gear model
ParameterValue
Motor typeABB-MT 90L
Electrical characteristics 4 pole, 50 Hz,3 phase, 415 V
Output power/kW1.5
Full load speed/rpm1420
Synchronous speed/rpm1500
Full load torque Tf./(N?m)10
Torque starting Ts/Tf /(N?m)2.7
Ratio breakdown Tb/Tf/(N?m)3.2
Slip sb0.315
Motor constant a1.711
Motor constant b1.316
Tab.2  Table 2 Motor characteristics
Fig.3  Load shape applied to the carrier of planetary gear transmission
Fig.4  Acceleration on sun gear
Fig.5  Zoom on the acceleration on sun gear
Fig.6  Spectrum of the acceleration on sun gear
Fig.7  STFT of the acceleration on sun gear bearing
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