Dynamic modeling and vibration analysis of a cracked 3K-II planetary gear set for fault detection

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.

Research Progress on the Dynamic Characteristics of Planetary Gear Transmission in a Non-Inertial System

“…In 2021, Sang et al [35] established a three-dimensional model of the 3K-II planetary gear train, as shown in Figure 6. The time-varying stiffness of the internal/external mesh pair under different gear tooth root crack faults was calculated by using the finite element method.…”

“…In 2019, Zhang et al [34] established a transient dynamic analysis model of a two-stage planetary gear train using the finite element method based on the schematic diagram of the two-stage planetary gear transmission shown in Figure 5. In 2021, Sang et al [35] established a three-dimensional model of the 3K-II planetary gear train, as shown in Figure 6. The time-varying stiffness of the internal/external mesh pair under different gear tooth root crack faults was calculated by using the finite element method.…”

Dynamic characteristics of single-loop gear system based on bond graph method

“…The main transmission parts of complete mechanical equipment are mostly gear transmission [1,2]. With the rapid development of science and technology, the annual sales volume of gear industry has exceeded hundreds of billions RMB, forming a diversified coexistence of enterprises and common development of the industry pattern [3,4]. In addition, as low-carbonization has become the theme of global manufacturing development, energy conservation and emission reduction will be the direction of technological development faced by enterprises all over the world.…”

Early damage detection in planetary gear transmission in different operating conditions

“…Later, Li et al [38] concentred to study the influence of chipped gear on the dynamic behaviour using a nonlinear model. Recently, Sang et al [39] studied numerically the impact of detects components location of the vibration response of a 3K-II planetary gear system. Early faults detection is always a challenge for research in order to avoid a bad scenario like the apparition of novel damage which can cause more degradation and a malfunction of the transmission.…”