Nonlinear dynamic analysis and chaos control of multi-freedom semi-direct gear drive system in coal cutters

Sheng, Lianchao; Li, Wei; Wang, Yuqiao; Fan, Mengbao; Yang, Xuefeng

doi:10.1016/j.ymssp.2018.06.043

Cited by 38 publications

(15 citation statements)

References 27 publications

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“…The dynamic form is related to the periodic meshing of gears. According to available literature, 8 time‐varying comprehensive error is always simplified as first harmonic function, that is,

e (t) = e_{r} \cos (ω_{m} t + ϕ_{m}), ω_{m}

is the meshing frequency of gear pair.…”

Section: Modeling Of a Pair Of Spur Gearsmentioning

confidence: 99%

Fractal‐based dynamic response of a pair of spur gears considering microscopic surface morphology

Sun

Liu

et al. 2021

Int Journal of Mech Sys Dyn

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The meshing surfaces of a gear pair are rough from a microscopic perspective and the surface topography will affect the dynamic response. To study the influence of real surface topography on the gear system dynamic performance, this paper establishes a 3‐degree of freedom transverse‐torsional dynamic model with regard to the morphology of the interface. By fractal theory, the expression of backlash between gears is modified based on the height of asperities. The time‐varying stiffness is calculated according to the fractal method rather than assuming a constant, which is more realistic. The dimensionless dynamic differential equations are established and solved with surface topography affected backlash function and time‐varying stiffness. The dynamic response of the gear system with respect to fractal dimension and fractal roughness is analyzed.

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“…The dynamic form is related to the periodic meshing of gears. According to available literature, 8 time‐varying comprehensive error is always simplified as first harmonic function, that is,

e (t) = e_{r} \cos (ω_{m} t + ϕ_{m}), ω_{m}

is the meshing frequency of gear pair.…”

Section: Modeling Of a Pair Of Spur Gearsmentioning

confidence: 99%

Fractal‐based dynamic response of a pair of spur gears considering microscopic surface morphology

Sun

Liu

et al. 2021

Int Journal of Mech Sys Dyn

View full text Add to dashboard Cite

show abstract

“…where 2b is the length of backlash. For the actual doublehelical gear pair transmission, with the difference between the relative meshing displacement along the meshing line direction and the backlash, that is, the actual meshing displacement along the meshing line direction, the doublehelical gear pair transmission may be in three different working states, namely, no impact, single-side impact, and double-side impact [22,23,27], as shown in Figure 2.…”

Section: Torsional Nonlinear Dynamic Model Of Double-helical Gear Transmissionmentioning

confidence: 99%

Nonlinear Frequency Response Analysis of Double‐helical Gear Pair Based on the Incremental Harmonic Balance Method

Hao

Wang

Zhang

et al. 2021

Shock and Vibration

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The torsional dynamic model of double-helical gear pair considering time-varying meshing stiffness, constant backlash, dynamic backlash, static transmission error, and external dynamic excitation was established. The frequency response characteristics of the system under constant and dynamic backlashes were solved by the incremental harmonic balance method, and the results were further verified by the numerical integration method. At the same time, the influence of time-varying meshing stiffness, damping, static transmission error, and external load excitation on the amplitude frequency characteristics of the system was analyzed. The results show that there is not only main harmonic response but also superharmonic response in the system. The time-varying meshing stiffness and static transmission error can stimulate the amplitude frequency response of the system, while the damping can restrain the amplitude frequency response of the system. Changing the external load excitation has little effect on the amplitude frequency response state change of the system. Compared with the constant backlash, increasing the dynamic backlash amplitude can further control the nonlinear vibration of the gear system.

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“…Srikanth et al [12] developed a dynamic model based on wind turbine drive train considering bearing stiffness and torsional shaft stiffness, and solved the coupled dynamic model to obtain the time and frequency domain response of the drive train. Chen Sheng et al [13,14] developed a gear dynamics model for the coal mining machine drive system and analyzed the effect of temperature as well as other nonlinear parameters on the stability of the system, respectively. Yang et al [15] analyzed the effect of different trim parameters on the dynamic characteristics of the system for cycloidal cam gears.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation and Chaos Analysis of Gear System With Clearance Under Different Load Conditions

2022

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In the transmission process of gear system, the change of load will make the system in different states of motion, which affects the transmission efficiency of gear system. It is important to investigate the nonlinear dynamic characteristics of gear system under different load states. Using straight cylindrical gears as the object of study, the concentrated mass method is used to establish a dynamic model that takes into account nonlinear factors such as tooth side clearance, time-varying meshing stiffness and transmission errors. The differential equations of the system are solved by the Longe-Kutta method to obtain the bifurcation diagram, the maximum Lyapunov exponent diagram and the phase plane diagram of the gear system to analyze the effect of the meshing damping ratio on the dynamic characteristics of the system under different load states. The results show that the influence of the engagement damping ratio on the dynamic characteristics of the system is greater under light load conditions, showing different states of motion as the engagement damping ratio gradually increases. Under heavy load conditions, the effect of the engagement damping ratio on the dynamic characteristics of the system is small. Appropriately increasing the mesh damping ratio is beneficial to the gear system to avoid the chaotic zone and maintain a stable cyclic motion state. The results of the study provide a reference for the design of gear systems with variable loads.

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Nonlinear dynamic analysis and chaos control of multi-freedom semi-direct gear drive system in coal cutters

Cited by 38 publications

References 27 publications

Fractal‐based dynamic response of a pair of spur gears considering microscopic surface morphology

Fractal‐based dynamic response of a pair of spur gears considering microscopic surface morphology

Nonlinear Frequency Response Analysis of Double‐helical Gear Pair Based on the Incremental Harmonic Balance Method

Bifurcation and Chaos Analysis of Gear System With Clearance Under Different Load Conditions

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