Modal properties of a two-stage planetary gear system with sliding friction and elastic continuum ring gear

Liu, Wei; Shuai, Zhi-Jun; Guo, Yibin; Wang, Donghua

doi:10.1016/j.mechmachtheory.2019.01.026

Cited by 41 publications

(16 citation statements)

References 25 publications

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“…Zhang et al [13] presented a translational-rotational dynamic model of a two-stage closed-form planetary gear set under the consideration of the rotational and translational displacements to investigate the dynamic response and to avoid resonance. Liu et al [14] addressed a new elastic-discrete model of the planetary gear, in which the sliding friction and elastic ring gears are considered simultaneously. Wei et al [15] proposed a comprehensive, fully coupled, dynamic method by applying a virtual equivalent shaft element and used the proposed method to guide the design reliability and lowvibration planetary gear systems.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Dynamic Characteristics of the Multistage Planetary Gear Transmission System with Friction Force

Xiao

Chen

Zhang

2021

Shock and Vibration

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Multistage planetary gear transmission system has been widely utilized in engineering practice due to the salient characteristics, such as high bearing load and large speed ratio. This paper addresses a two-stage planetary gearbox and establishes a system coupling torsional dynamical model which considers the time-varying mesh stiffness, friction forces, and interstage coupling factors. Meanwhile, the friction and lubrication states are classified to comprehensively analyze the calculation of friction coefficients under different conditions. Considering the time-varying influence of friction on the tooth surface under the condition of fluid lubrication, the vibration response under parametric excitation is solved by a numerical method. A multistage planetary transmission test bench is built in the back-to-back form so as to test the vibration of the two-stage planetary gearbox. It shows that the simulation results of the dynamical model are consistent with the test data. Consideration of the calculation of friction on the tooth surface and the friction coefficients is helpful for the establishment of the more accurate dynamical model and lays the foundation for the structural design, fault diagnosis, and dynamic optimization of the multistage planetary gear transmission system.

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Section: Introductionmentioning

confidence: 99%

Analysis of Dynamic Characteristics of the Multistage Planetary Gear Transmission System with Friction Force

Xiao

Chen

Zhang

2021

Shock and Vibration

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“…Lin et al [21] discussed the vibration response of multi-stage planetary gear reducer by the centralized parameter method, and the dynamic equation was solved by the Runge Kutta method. Liu et al [22] deduced a new discrete elastic model of planetary gears, which considered sliding friction and elastic continuous ring gear. Then, the impact of sliding friction on the meshing stiffness was discussed.…”

Section: Introductionmentioning

confidence: 99%

Modeling and dynamic analysis of spiral bevel gear coupled system of intermediate and tail gearboxes in a helicopter

Zhu

Chen

Zhu

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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The coupled dynamic model of the intermediate and tail gearboxes’ spiral bevel gear-oblique tail shaft-laminated membrane coupling was established by employing the hybrid modeling method of finite element and lumped mass. Among them, the dynamic equation of the shaft was constructed by Timoshenko beam; spiral bevel gears were derived theoretically by the lumped-mass method, where the effects of time-varying meshing stiffness, transmission error, external imbalance excitation and the like were considered simultaneously; laminated membrane coupling was simplified to a lumped parameter model, in which the stiffness was obtained by the finite element simulation and experiment. On this basis, the laminated membrane coupling and effects of several important parameters, including the unbalance value, tail rotor excitation, oblique tail shaft’s length and transmission error amplitude, on the system’s dynamic characteristics were discussed. The results showed that the influences of laminated membrane coupling and transmission error amplitude on the coupled system’s vibration response were prominent, which should be taken into consideration in the dynamic model. Due to the bending-torsional coupled effect, the lateral vibration caused by gear eccentricity would enlarge the oblique tail shaft’s torsional vibration; similarly, the tail rotor’s torsional excitation also varies the lateral vibration of the oblique tail shaft. The coupled effect between the eccentricity of gear pairs mainly hit the torsional vibration. Also, as the oblique tail shaft’s length increased, the torsional vibration of the oblique tail shaft tended to diminish while the axis orbit became larger. The research provides theoretical support for the design of the helicopter tail transmission system.

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“…Li et al (2014) developed a dynamic model for a multistage planetary gear train and analyzed the influences of damping, backlash, and excitation frequency on system dynamic characteristics. Additionally, some scholars have also investigated the effects of manufacturing errors, cracks, wear, backlash, breakage, and other factors on the dynamic characteristics of planetary gearboxes by means of establishing a dynamical model (Chaari et al, 2006;Liu et al, 2018;Sun et al, 2019;Xiang et al, 2018;Wu et al, 2017;Liu et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2021

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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.

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Modal properties of a two-stage planetary gear system with sliding friction and elastic continuum ring gear

Cited by 41 publications

References 25 publications

Analysis of Dynamic Characteristics of the Multistage Planetary Gear Transmission System with Friction Force

Analysis of Dynamic Characteristics of the Multistage Planetary Gear Transmission System with Friction Force

Modeling and dynamic analysis of spiral bevel gear coupled system of intermediate and tail gearboxes in a helicopter

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

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