Nonsmooth Vibration Characteristic of Gear Pair System with Periodic Stiffness and Backlash

He, Miao; Li, Shuo; Lin, Zhenjun; Jin-jin, Wang; Liu, Shuang; Hao, Ruolan

doi:10.1155/2018/3498057

Cited by 2 publications

(2 citation statements)

References 14 publications

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“…Research has been conducted on several complex phenomena and problems that uniquely impact non-smooth systems, and on developing their various periodic motions, stabilities and boundary impact bifurcation phenomena (such as edge friction, jumping, sticking, switching and corners). Wang et al 14,15 employed a perturbation method and differential inclusion theory to analyse the sliding dynamics of the separation boundaries. Additionally, the periodic response of a gear pair system was illustrated, and Floquet’s theory was presented to confirm the stability and bifurcation of the periodic response.…”

Section: Introductionmentioning

confidence: 99%

Impact-meshing vibration characteristics of high-speed gear systems with Backlash

Qi,

Guan,

Liu

et al. 2023

Advances in Mechanical Engineering

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The meshing process includes high-speed impact between the teeth. The vibration and noise in the gear transmission become prominent owing to the backlash between gears. Currently, the concentrated mass model is primarily used to analyse the vibration and noise mechanism of gear transmission, and it is difficult to effectively explain high-speed gear collision. In this study, an improved impact vibration model was applied to the meshing state of a high-speed gear. The gear transmission was simplified as a collision vibration system with absolute and traversable boundaries, and the piecewise-smooth dynamics model of the gear system is established. A mapping dynamic analysis method was then used to describe the impact and meshing boundary of gears. The impact-meshing situation of the gear system was observed, and the vibration response of the system under different speeds and loads was analysed using numerical simulation. The results revealed that the main source of the gear vibration was the meshing frequency of a gear pair. The resonance generated by the modulation of the rotation and meshing is the main reason for the long-term impact-meshing phenomenon of the gear transmission system. The results of this study are of great significance as they reveal the vibration characteristics of a high-speed gear transmission system.

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Section: Introductionmentioning

confidence: 99%

Impact-meshing vibration characteristics of high-speed gear systems with Backlash

Qi,

Guan,

Liu

et al. 2023

Advances in Mechanical Engineering

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show abstract

“…With the development of modern equipment in high-speed, precision and heavy load, it is necessary to pay more attention to improving the performance of the gear system. The influence factor of gear vibration mainly includes gear manufacturing errors, [1][2][3][4][5] timevarying meshing stiffness of the gear pair, [6][7][8][9] mass or geometric eccentricity of gear and shaft, [10][11][12][13][14] load fluctuation [15][16][17] and lubrication methods. 18,19 Many scholars have indicated manufacturing errors as the main excitation factor of gear vibration.…”

Section: Introductionmentioning

confidence: 99%

The statistical analysis of the dynamic performance of a gear system considering random manufacturing errors under different levels of machining precision

Guo

Fang

2019

Proceedings of the Institution of Mechanical Engineers, Part K:

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Gear manufacturing error is one of the main sources of vibration and noise in gears; its influence on the dynamic transmission behaviour of gear systems is a research hotspot. In the current study on the effect of the manufacturing errors, the processing methods of the errors are mostly rough or hypothetical, so the analysis results cannot provide high reference value. This paper proposes a distinctive method to analyse the vibration response of helical gears in the presence of random manufacturing errors and modifications. The presented study performs tooth contact analysis (TCA) with the real tooth surface containing the random tooth profile error and the modification and performs loaded tooth contact analysis (LTCA) based on the superposition of the random pitch error and the initial gap between mating teeth obtained by TCA. Furthermore, the dynamic excitations, including time-varying mesh stiffness and meshing impact, are computed using the above-mentioned TCA and LTCA. The processing method for the manufacturing errors in this paper is reasonable and close to the actual situation of gear engagement. Using this proposed method, statistical analysis was carried out under machining accuracy grades 5, 6 and 7 to show the effect of the different distributions of random manufacturing errors on the gear vibration. The analysis results are of practical significance and provide references for the design and vibration control of gear drive systems.

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Nonsmooth Vibration Characteristic of Gear Pair System with Periodic Stiffness and Backlash

Cited by 2 publications

References 14 publications

Impact-meshing vibration characteristics of high-speed gear systems with Backlash

Impact-meshing vibration characteristics of high-speed gear systems with Backlash

The statistical analysis of the dynamic performance of a gear system considering random manufacturing errors under different levels of machining precision

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