Comptes Rendus
no. 1
Simulating the dynamic behavior of planetary gearbox based on improved Hanning function
Oussama Graja1  ; Bacem Zghal1 ; Kajetan Dziedziech2 ; Fakher Chaari1 ; Adam Jablonski2 ; Tomasz Barszcz2 ; Mohamed Haddar1
1 National School of Engineers of Sfax, Laboratory of Mechanics Modelling and Production, Sfax, Tunisia
2 AGH University of Science and Technology, Krakow, Poland
Comptes Rendus. Mécanique, Volume 347 (2019) no. 1, pp. 49-61.

Planetary gearboxes are widely used in industrial machines. They usually work in harsh environments giving rise to damages and high maintenance costs. Condition monitoring is a key action allowing one to detect the presence of such damage ensuring healthy running conditions. The knowledge of the dynamic behavior of such a gearbox can be achieved using modeling tools as a primary step before conditioning the monitoring subject. In addition, modeling a gear set can help in the stage of design in order to optimize physical and geometric parameters of the system. Therefore, in this work, a two-dimensional lumped parameter model is adopted to build all vibration sources. The time-varying mesh stiffness is approximated as a square wave form. A novel mathematical formulation is proposed to model the amplitude modulation phenomenon due to the rotational motion of the planets around the center of the gearbox. Finally, the overall vibration signal is concluded as a summation of all vibration components influenced by the modulation function.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2018.09.006
Mots clés : Planetary gearbox, Vibration signals, Amplitude modulation, Side-bands, Dynamic response, Dynamic model
Oussama Graja 1 ; Bacem Zghal 1 ; Kajetan Dziedziech 2 ; Fakher Chaari 1 ; Adam Jablonski 2 ; Tomasz Barszcz 2 ; Mohamed Haddar 1

1 National School of Engineers of Sfax, Laboratory of Mechanics Modelling and Production, Sfax, Tunisia
2 AGH University of Science and Technology, Krakow, Poland 
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     title = {Simulating the dynamic behavior of planetary gearbox based on improved {Hanning} function},
     journal = {Comptes Rendus. M\'ecanique},
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Oussama Graja; Bacem Zghal; Kajetan Dziedziech; Fakher Chaari; Adam Jablonski; Tomasz Barszcz; Mohamed Haddar. Simulating the dynamic behavior of planetary gearbox based on improved Hanning function. Comptes Rendus. Mécanique, Volume 347 (2019) no. 1, pp. 49-61. doi : 10.1016/j.crme.2018.09.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.09.006/

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