Abstract
Abstract. The 3K planetary gear system is a basic planetary transmission structure with many advantages over the 2K-H planetary gear system. However, the vibration characteristics will be more complicated due to the increase of central gears meshing with each planet gear simultaneously. In this paper, a lumped-parameter model for a 3K-II planetary gear set was developed to simulate the dynamic response. The time-varying stiffness of each meshing pair for different gear tooth root crack faults is calculated via the finite element method. By considering the effect of time-varying transmission paths, the transverse synthetic vibrations are obtained. Subsequently, the feasibilities of transverse synthetic vibration signals and output torsional vibration signals as reference for fault diagnosis are analyzed by studying the time-domain and frequency-domain characteristics of these two vibration signals. The results indicate that both the transverse synthetic vibration signals and output torsional vibration signals can be used for fault identification and localization of the 3K-II planetary gear train, and yet they both have their limitations. Some results of this paper are available as references for the fault diagnosis of 3K planetary gear trains.
Highlights
Planetary gear transmission has the advantages of low weight, small size, high load capacity and large transmission ratio, etc
The planet gear rotates around its own axis and around the axis of the central members (Xue and Howard, 2018)
Compared to mathematical models (Inalpolat and Kahraman, 2009; Li et al, 2019; Feng and Zuo, 2013), a dynamical model can more accurately characterize the physical parameters of a gear system, such as time-varying meshing stiffness and damping, and it helps to understand the effects of various types of gear faults on planetary gearboxes
Summary
Planetary gear transmission has the advantages of low weight, small size, high load capacity and large transmission ratio, etc. Compared to mathematical models (Inalpolat and Kahraman, 2009; Li et al, 2019; Feng and Zuo, 2013), a dynamical model can more accurately characterize the physical parameters of a gear system, such as time-varying meshing stiffness and damping, and it helps to understand the effects of various types of gear faults on planetary gearboxes. Based on the model in Kahraman (1994), Lin and Parker (1999) developed a lumped-parameter dynamics model considering the effects of meshing phase difference, time-varying meshing stiffness, and carrier rotation. Literature studies mentioned previously indicate that a large range of studies have been conducted for the dynamic characteristics and vibration signal analysis of planetary gear systems. Some results are considered references for the fault detection of 3K planetary gear trains
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