Abstract:The lightweight design of the gear system is the current tendency. The gearbox housing is modeled as a rigid body and is neglected in the gear dynamic analysis. It is of great significance to introduce the gearbox housing flexibility into the dynamic analysis and analyze the influence of the gearbox housing flexibility on the dynamic behaviors of the gear transmission system, as this can provide important instructions for the lightweight structure design of the housing. The gear–rotor–bearing model and the gea… Show more
“…Subsequently, the reference node will be connected to the node of the flexible shaft through the bearing element. The detailed introduction can be found in Ref (Abbes et al, 2007; Kong et al, 2020)Figure 6.Schematic diagram of the coupling between the reference node and the gearbox node.…”
Section: Dynamic Model Of the Gear-shaft-bearing-housing Systemmentioning
confidence: 99%
“…Fortunately, with the development of gear dynamic models, it has been possible to calculate the dynamic bearing force due to the gear meshing behavior. Nevertheless, in the gear dynamic model, the bearing models are simplified to linear springs (Chen et la., 2015; Hu et al, 2020; Kahraman et al, 1990; Kang and Kahraman, 2012; Kong et al, 2020; Ouyang et al, 2019) or time-varying springs (Liu et al, 2019a; Yang and Lim, 2011) to consider the bearing flexibility without the possibility to calculate the rolling element load.…”
The study of the bearing fatigue life in high-speed gearboxes is an integral part of high-speed gear transmission research. There is still a lack of research on the analysis and calculating the bearing internal dynamic load and fatigue life considering gear engagement and centrifugal force simultaneously. Therefore, the paper proposes a new approach to acquire the internal load and fatigue life of the deep groove ball bearing in a high-speed gearbox system. Firstly, the modeling method of the gear mesh, flexible shaft, high-speed deep groove ball bearing, and housing is established, constructing the gearbox system dynamic model, which has the ability to calculate the bearing internal load. Then, the calculation method for analyzing the fatigue life of bearings is given based on the linear damage theory. The results show that the gear engagement and centrifugal force have meaningful effects on bearing internal loads and fatigue life, especially at high speeds. Both of them should be considered when evaluating the bearing life. The calculation method and model proposed in this paper provide a new technical approach for service performance evaluation and reliability design of high-speed deep groove ball bearing.
“…Subsequently, the reference node will be connected to the node of the flexible shaft through the bearing element. The detailed introduction can be found in Ref (Abbes et al, 2007; Kong et al, 2020)Figure 6.Schematic diagram of the coupling between the reference node and the gearbox node.…”
Section: Dynamic Model Of the Gear-shaft-bearing-housing Systemmentioning
confidence: 99%
“…Fortunately, with the development of gear dynamic models, it has been possible to calculate the dynamic bearing force due to the gear meshing behavior. Nevertheless, in the gear dynamic model, the bearing models are simplified to linear springs (Chen et la., 2015; Hu et al, 2020; Kahraman et al, 1990; Kang and Kahraman, 2012; Kong et al, 2020; Ouyang et al, 2019) or time-varying springs (Liu et al, 2019a; Yang and Lim, 2011) to consider the bearing flexibility without the possibility to calculate the rolling element load.…”
The study of the bearing fatigue life in high-speed gearboxes is an integral part of high-speed gear transmission research. There is still a lack of research on the analysis and calculating the bearing internal dynamic load and fatigue life considering gear engagement and centrifugal force simultaneously. Therefore, the paper proposes a new approach to acquire the internal load and fatigue life of the deep groove ball bearing in a high-speed gearbox system. Firstly, the modeling method of the gear mesh, flexible shaft, high-speed deep groove ball bearing, and housing is established, constructing the gearbox system dynamic model, which has the ability to calculate the bearing internal load. Then, the calculation method for analyzing the fatigue life of bearings is given based on the linear damage theory. The results show that the gear engagement and centrifugal force have meaningful effects on bearing internal loads and fatigue life, especially at high speeds. Both of them should be considered when evaluating the bearing life. The calculation method and model proposed in this paper provide a new technical approach for service performance evaluation and reliability design of high-speed deep groove ball bearing.
“…In addition to high speed, heavy load, low vibration, and high reliability, lightweight design is also pursued in gear transmission systems used in aeronautics and astronautics (Kong et al, 2021(Kong et al, , 2023. Therefore, hollow shaft, slender shaft, thin-walled gearbox/casing, and other flexible support structures have been widely used in gear system design.…”
The dynamic characteristics of gear systems are affected by the sliding friction and time-varying pressure angle. In the previous studies, the sliding friction is usually neglected for simplification, while the pressure angle is always considered as a constant. Therefore, the coupling effect between the sliding friction and pressure angle is not considered. In view of this, a new six degrees-of-freedom model for spur gear systems is proposed. The sliding friction and time-varying pressure angle are emphasized in this model. The differential equations of motion are derived using Lagrange’s equation. The Runge–Kutta numerical integration algorithm is applied to gain dynamic response. The proposed model is somewhat more realistic compared to previous models. Furthermore, parametric studies are carried out to reveal the effects of friction coefficient and equivalent shaft-bearing stiffness (directly related to translational motion and time-varying pressure angle). The coupling effect between the sliding friction and pressure angle is verified not only by the mathematical model but also by the dynamic response. The results reveal that both friction coefficient and equivalent shaft-bearing stiffness affect the contact ratio and pressure angle and lead to distinctive dynamic responses. This research can provide a foundation for further study and be used as a reference for gear system design and vibration prediction.
“…Xiang and Gao [14] analyzed the mechanism of manufacturing and assembly errors, proposed a transmission error analysis method for helical gears with errors, and verified the method by experiments. Kong et al [15] analyzed the influence of gearbox shell flexibility on the DTE of the gear transmission system. Duan et al [16] systematically studied the transmission error of the gearbox by establishing the rigid-flexible coupling dynamic model of the gearbox and establishing a transmission error test bench.…”
The time-varying characteristics of the gear system have an essential influence on its vibration and stability characteristics. Aiming at this characteristic and taking the generalized force caused by load torque as input and dynamic transmission error as output, a data-driven modeling method for gear time-varying system is studied using the periodic time-varying system identification theory. The effectiveness of the proposed method is verified by the lumped mass model of the gear system. This method has high modeling accuracy and can accurately characterize the time-varying characteristics of the gear system. Then, the virtual experimental platform of gear system dynamics is established based on the finite element theory. The method successfully extends to the virtual experimental platform, laying a foundation for analyzing the gear system’s dynamic characteristics.
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