The Study on Excitation Responses of a Multi-stage Planetary Gearing

Abstract

Wind-driven generators are widely used all over the world. One of the key parts of a wind-driven generator is a multi-stage planetary gearbox which provides large speed ratio. The most dangerous failure of this gearbox is resonances excited by dynamic transmission error (dynamic TE). In order to avoid resonances, it is necessary to make sure that the frequency of dynamic TE is obviously different to the frequency of the vibration modes of the gearing. This paper studied the relationship between the dynamic TE and the vibration modes of the gearing. First, a 3D model of the gearbox is established using the software Pro/Engineer. Then export the 3D model to the software Romaxwind and plot numbered cell mesh of the 3D model. After having deduced the relationship between dynamic TE and dynamic forces on engaging tooth, we applied the excitations caused by dynamic TE on the plotted finite element model of the gearing by the means of function call in Romaxwind. The output data show that all vibration modes are obviously different to the response frequencies of the gearing. The whole gearing will never resonate under the excitations of dynamic TE.