Simulating the dynamic behavior of planetary gearbox based on improved Hanning function

Oussama Graja, Bacem Zghal, Kajetan Dziedziech, Fakher Chaari, Adam Jablonski, Tomasz Barszcz, Mohamed Haddar

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)49-61
Number of pages13
JournalComptes Rendus - Mecanique
Issue number1
Early online date7 Jan 2019
Publication statusPublished - 7 Jan 2019
Externally publishedYes

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