Investigation
on Nonlinear Dynamic Characteristics of a New Rigid-Flexible Gear Transmission With
Wear

Geng, Zhibo; Xiao, Ke; Wang, Jiaxu; Li, Junyang

doi:10.1115/1.4043543

Cited by 18 publications

(3 citation statements)

References 29 publications

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“…Their results suggest that uniform wear can actually improve gear wear resistance. Geng [29] established a nonlinear dynamic model that considers uniform wear to analyze the bifurcation diagrams, phase diagrams, Poincaré maps, time series, and FFT spectra of a rigid-flexible gear pair. Sheng [30] proposed a dynamic model to investigate the effects of uniform wear on gear tooth failures, providing a comprehensive analysis of bifurcation characteristics in gear systems.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of a Spur Gear Pair System with Wear Considering the Meshing Position

Geng,

Chen,

Wang

et al. 2024

Lubricants

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In this paper, a nonlinear dynamic model of a parallel shaft gear system consisting of two involute spur gears is developed to investigate the coupling effect between the gradual surface wear of gear teeth over time and nonlinear dynamic characteristics. A uniform wear model that accounts for how the volumetric wear of the gear teeth affect their meshing position, backlash, and stiffness is proposed. Additionally, a nonlinear dynamic model with six degrees of freedom is described that considers friction, time-varying gear backlash, and time-varying meshing stiffness. The proposed model significantly changes the mesh stiffness, not only in terms of value but also in terms of contact ratio. Furthermore, the nonlinear dynamic characteristics of the gear system vary significantly. It is found that the gradual wear of gear teeth affects the meshing position and further has a significant impact on the nonlinear dynamic characteristics of the spur gear system. This paper provides a basis for studying the nonlinear dynamic characteristics of the spur gear system as it experiences the gradual wear of teeth over time.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of a Spur Gear Pair System with Wear Considering the Meshing Position

Geng,

Chen,

Wang

et al. 2024

Lubricants

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“…As a result, the gap between the gears is changed, which will show a series of destructive phenomena such as gear vibration, noise, wear, etc. [3][4][5] It is not conducive to gear life and the smooth operation of the system. [6][7][8] Therefore, it is necessary to study the dynamic characteristics of the gear in the shearer cutting part under the effect of friction and thermal deformation.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics analysis of gear transmission system considering tooth surface friction and thermal deformation

Sheng

Sun

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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To make the gear better adapt to the high temperature environment, the effects of tooth surface friction and thermal deformation on the dynamic characteristics of the gear were studied. First, based on the basic theory of gear nonlinear dynamics, the backlash model is established considering the effects of thermal deformation. Then, an improved multi-degree-of-freedom nonlinear dynamic model of gears is established taking into account the effects of thermal deformation and friction. The effect of tooth surface friction and thermal deformation on the system motion state is analyzed. Finally, to better analyze the relationship between impact vibration and transmission efficiency, the percussion vibration index is introduced. Compared with the existing research, a gear multi-degree-of-freedom dynamic model is established by considering the influence of tooth surface friction and thermal deformation. The percussion vibration index is introduced as an indicator of gear running health. The research result can provide reference for the optimization and cooling of the gear transmission system.

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“…Gear transmissions are commonly used in aerospace, transportation and industrial machinery. However, excessive contact load, inappropriate operating condition and insufficient lubrication usually cause various tooth failures such as wear (Flodin and Andersson, 1997; Geng et al , 2019; Huangfu et al , 2020a), pit (Chen et al , 2019a), spall (Huangfu et al , 2020b) and crack (Ma et al , 2015), which induce the vibration and noise. To enhance the lifetime and improve the reliability of the gear system, the dynamics have been investigated, and the methods of fault diagnosis have been developed significantly as well in recent years (Liang et al , 2018; Hu et al , 2015; Jiang et al , 2020; Yan et al , 2020a, b).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of a spur gear pair with tooth root crack based on an amplitude modulation function

Gao

Wang

Bajwa

2021

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PurposeGear transmissions are widely utilized in practice. This paper aims to uncouple the crack feature from the cracked time-varying mesh stiffness (TVMS) and investigate the effects of the crack on the nonlinear dynamics of a spur gear pair.Design/methodology/approachAn approximate method to simulate the cracked TVMS is proposed by using an amplitude modulation function. The ratio of mesh stiffness loss is introduced to estimate the TVMS with different crack depths and angles. The dynamic responses are obtained by solving a torsional model which takes the non-loaded static transmission error, the backlash and the cracked TVMS into account. By using the bifurcation diagram, the largest Lyapunov exponent (LLE) and dynamic mesh force, the influences of crack on nonlinear behaviors are examined. The dynamic characteristics are identified from the phase diagram, Poincaré map, dynamic mesh force, time series and FFT spectra.FindingsThe comparison between the healthy and cracked gear pairs indicates that the crack affects the system motions, such as the obvious changes of impact force and unpredictable instability. Besides, the additive and difference combination frequencies can be found in periodic-1 and -2 motions, but they are covered in periodic-3 and chaotic motions. Deeper crack is an important determinant of the nonlinear behaviors at a higher speed.Originality/valueThe research provides an interesting perspective on cracked TVMS and reveals the connection between crack and nonlinear behaviors of the gear pairs.

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Investigation on Nonlinear Dynamic Characteristics of a New Rigid-Flexible Gear Transmission With Wear

Cited by 18 publications

References 29 publications

Nonlinear Dynamic Analysis of a Spur Gear Pair System with Wear Considering the Meshing Position

Nonlinear Dynamic Analysis of a Spur Gear Pair System with Wear Considering the Meshing Position

Nonlinear dynamics analysis of gear transmission system considering tooth surface friction and thermal deformation

Nonlinear dynamics of a spur gear pair with tooth root crack based on an amplitude modulation function

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