Bifurcation and Chaos of a Spur Gear Transmission System With Non-Uniform Wear

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

doi:10.1115/1.4048269

Cited by 18 publications

(9 citation statements)

References 37 publications

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“…They proceeded to examine the impact of input speed and gear backlash on the nonlinear dynamic properties of the system. This analysis was performed by utilizing time history and phase diagrams; Geng et al (2021) developed a nonlinear dynamic model that incorporates many elements, including time-varying meshing stiffness and friction, and studied the bifurcation characteristics of the gear system using bifurcation diagrams and frequency spectra; The nonlinear dynamic model of spur gear pairs was constructed by Xia et al (2018), incorporating several aspects such as time-varying meshing stiffness and gear backlash. The researchers examined the bifurcation and chaos properties of the system under both light and heavy load situations.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics analysis of electromechanical planetary gear systems with temperature effects considered

Wang,

Bi,

2024

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PurposeThe electromechanical planetary transmission system has the advantages of high transmission power and fast running speed, which is one of the important development directions in the future. However, during the operation of the electromechanical planetary transmission system, friction and other factors will lead to an increase in gear temperature and thermal deformation, which will affect the transmission performance of the system, and it is of great significance to study the influence of the temperature effect on the nonlinear dynamics of the electromechanical planetary system.Design/methodology/approachThe effects of temperature change, motor speed, time-varying meshing stiffness, meshing damping ratio and error amplitude on the nonlinear dynamic characteristics of electromechanical planetary systems are studied by using bifurcation diagrams, time-domain diagrams, phase diagrams, Poincaré cross-sectional diagrams, spectra, etc.FindingsThe results show that when the temperature rise is less than 70 °C, the system will exhibit chaotic motion. When the motor speed is greater than 900r/min, the system enters a chaotic state. The changes in time-varying meshing stiffness, meshing damping ratio, and error amplitude will also make the system exhibit abundant bifurcation characteristics.Originality/valueBased on the principle of thermal deformation, taking into account the temperature effect and nonlinear parameters, including time-varying meshing stiffness and tooth side clearance as well as comprehensive errors, a dynamic model of the electromechanical planetary gear system was established.

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Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics analysis of electromechanical planetary gear systems with temperature effects considered

Wang,

Bi,

2024

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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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“…Wang [1] et al studied the meshing dynamics of gears, established a pure torsional gear dynamics model, explored the effect of gear side clearance on the nonlinear dynamics of gears, and made relevant experiments to verify the results; Hou [2] et al analyzed the nonlinear response of the turbofan engine gear rotor model using bifurcation diagrams, interface diagrams, and maximum Lyapunov exponent diagrams, and studied the effect of meshing damping on the dynamic characteristics of the system; Huang [3] et al established a gear system dynamics model using a centralized parameter model and analyzed the effects of factors such as backlash on the nonlinear characteristics of gears; Geng [4] et al…”

Section: Introductionmentioning

confidence: 99%

Analysis of nonlinear dynamic characteristics of planetary gears considering the influence of wear and temperature effects

wang,

Bi,

Luo

et al. 2023

Preprint

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The phenomenon of gear backlash is observed to increase as the planetary gears undergo wear, leading to an exacerbation of vibrations within the gear gearbox system. This heightened wear further contributes to the generation of substantial heat, consequently causing an elevation in temperature. As a consequence, the thermal deformation of the gear occurs, thereby affecting its capacity to effectively transmit power. This study presents the development of a nonlinear dynamic model for a gear system, incorporating the influence of wear and temperature. The model is constructed by integrating the Archard wear model with the thermal deformation idea. The present work investigates the influence of wear and temperature on the nonlinear dynamic characteristics of a gear system using a range of analytical techniques, such as bifurcation diagrams, Maximum Lyapunov index charts, phase diagrams, and Poincare cross section diagrams. The results suggest that there is a shift in the system's behaviors from displaying multi-period movement to single-period movement as the temperature rise increases, with wear reduction being the driving factor. As the magnitude of wear increases, the system exhibits a transition from chaotic motion to periodic motion as the temperature rises.

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Bifurcation and Chaos of a Spur Gear Transmission System With Non-Uniform Wear

Cited by 18 publications

References 37 publications

Nonlinear dynamics analysis of electromechanical planetary gear systems with temperature effects considered

Nonlinear dynamics analysis of electromechanical planetary gear systems with temperature effects considered

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

Analysis of nonlinear dynamic characteristics of planetary gears considering the influence of wear and temperature effects

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