New modeling of planetary gear transmission

Abstract

In a planetary gearbox, there are multiple sources of vibrations due to the complexity of the gearbox since the latter contains multiple components (Sun, Carrier, Planets, and Ring) witch all of them are in mesh. In addition, the complexity of the planets motion (two rotational motions) affects the vibration collected in experiments, because the distance between planet and the transducer is time-varying. Hence, vibrations collected have not the same level: when the planet becomes closer from the senor, vibration level increases and vice versa. In this study, a linear two-dimensional lumped parameter dynamic model is developed in order to predict modulation phenomenon in a planetary gearbox. This model is based on novel description of the vibration of different components of the planetary gear taking into account the variable vibration transmission path. Numerical simulations show the ability of this model to describe this phenomenon with clear amplitude modulation in time signal.