Dynamic Modeling of Multistage Gearbox and Analysis Method of Resonance Danger Path

Abstract

Dynamic modeling of multistage gearboxes and identification of dangerous resonance paths are necessary to avoid failure induced by resonance. Based on the lumped-parameter/finite element method, an improved dynamic gearbox model that considers the structural flexibility of the shaft and housing and can be used for dynamic analysis of variable speed processes, is proposed. Compared to previous lumpedparameter/finite element models, the proposed model does not divide the speed range into a lot of constant speeds to identify resonance; therefore, it has a higher computational efficiency (the previous model takes approximately 168 h to identify resonance whereas the proposed model takes just 47 h). Based on the proposed model, an analysis method for identifying the dangerous resonance paths of multistage gearbox is proposed. First, the natural frequencies and vibration shapes of the gearbox are calculated. Second, the time-frequency analysis of variable speed processes is used to identify resonance. Finally, the modal energy method is adopted to quantify the resonance energy of each component. Thus, the dangerous resonance paths of the multistage gearbox is determined by using the proposed analysis method. The proposed method provides a basis to reduce noise and vibrations and for fault prediction of gearboxes, and it can also be applied to other mechanical systems.INDEX TERMS Gear, gearbox, dangerous resonance paths, dynamic modeling, an analysis method.

An Improved Dynamic Model Updating Method for Multistage Gearbox Based on Surrogate Model and Sensitivity Analysis

“…In the system model, the transmission shaft was coupled with the housing through the bearing. The stiffness matrix Kb of the bearing is expressed as [23] b…”

Dynamic Performance of Planetary Gear Joint for Satellite Antenna Driving Mechanism Considering Multi-Clearance Coupling

“…Over the past few decades, the effects of uncertain factors such as clearance size, time-varying meshing stiffness, and damping on the nonlinear dynamics of planetary gears have been studied by using a numerical approach. There are three main modeling methods, including lumped parameter method, finite element method, and lumped parameter/finite element method [29]. Among them, the lumped parameter method has developed rapidly due to its easy modeling and high calculation efficiency and is widely used in the study of the inherent and dynamic characteristics of planetary gears.…”

“…Based on the lumped parameter/finite element method, Wei et al [42] developed a comprehensive, dynamic coupled modeling method by using a virtual equivalent shaft element and constructed the dynamic model of the flexible planetary gear system. Xu et al [29] proposed an improved dynamic gearbox model that can quickly identify the resonance characteristics of multi-stage planetary gears under variable speed conditions.…”

Analysis of the Influence of Transmission Housing Elasticity on the Vibration Characteristics of Gear Shafting under Coupling Effect

“…At present, finite element modeling [1][2][3][4] and multibody dynamics simulations [5][6][7][8][9] were predominantly used in studies on transmission system dynamics. e former, finite element method, with high accuracy was used to observe various complex shapes [10][11][12][13][14] and simulate the quasistatic contact force in the system. However, in practical application, the transmission system is usually operated under dynamic conditions.…”