Dynamic load sharing behavior of transverse-torsional coupled planetary gear train with multiple clearances

Sheng, Dongping; Zhu, Rupeng; Jin, Guanghu; Lu, Fengxia; Bao, Heyun

doi:10.1007/s11771-015-2781-6

Cited by 19 publications

(8 citation statements)

References 18 publications

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“…Yu et al [17] investigated the effects of cracked gear tooth on mesh stiffness. Sheng et al [18] presented a dynamic model of the gear system to discuss the manufacturing errors effects on gear dynamic response. Cho et al [19] proposed a quasiflexible-body modeling method to analyze the dynamic transmission error (DTE) of the gear dynamics.…”

Section: Introductionmentioning

confidence: 99%

The nonlinear dynamics response of cracked gear system in a coal cutter taking environmental multi-frequency excitation forces into consideration

Zhu

et al. 2015

Nonlinear Dyn

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The normal operation of gear systems ensures the power transmission in coal cutters. Due to harsh work environment, the gears in coal cutters are prone to crack. By analyzing the gear dynamic response, useful crack detection indicators could be obtained. The literature review indicates that most of the gear dynamic models have been built with singlefrequency excitation, but very limited work has considered multi-frequency excitations. The coal cutter gear systems are always subjected to multi-frequency excitations. Hence, a nonlinear gear dynamic model taking multi-frequency excitations into account was established in this work. A meshing stiffness coefficient was defined to model the crack fault influence on the gear model. The amplitude-frequency of the model main resonance was analyzed by means of multi-scale method, and the model dynamic response was calculated by the incremental harmonic balance method. Numerical simulation results show that the dynamic response of the presented gear model provided strong chaotic characteristics and the chaotic degree of the gear dynamics increased with the deterioration of the crack level. Experimental validation was carried out on a real gearbox, and the analysis results were consistent with the simulations. Hence, the simulation and experimental analysis demonstrates that the multi-frequency excitation-based gear dynamic model was more correct than the single-frequency excitation-based model in representing the system dynamics.

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Section: Introductionmentioning

confidence: 99%

The nonlinear dynamics response of cracked gear system in a coal cutter taking environmental multi-frequency excitation forces into consideration

Zhu

et al. 2015

Nonlinear Dyn

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“…In 2013, Lin et al [63] established a non-linear model for cylindrical gear-spiral bevel gear-planetary gear transmission system, and further analyzed the influence of backlash and load torque on load bifurcation characteristics. In 2014, Li et al [64] solved the dynamic differential equation with time-varying stiffness, transfer error, damping and backlash by Gill numerical method, and explored the influence of excitation frequency, damping and backlash on the periodic response of gear vibration mechanics. Based on the vibration mechanics model of planetary gear system.…”

Section: Dynamic Response Characteristicsmentioning

confidence: 99%

Research Progress in Dynamics of Planetary Gear Transmission System

Wang¹,

Zhang²,

Wang³

2019

IJEAS

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In this paper, the research progress of dynamics of planetary gear transmission system is discussed. The dynamic model of planetary gear transmission system and the dynamic characteristics of planetary gear are elaborated emphatically. Three dynamic models of pure torsion, translation-torsion coupling and translation-torsion-axial coupling of planetary gear transmission system are introduced. The research progress of dynamic characteristics of planetary gear transmission system is described from three aspects: inherent characteristics, load sharing characteristics and dynamic response characteristics, and the future research is prospected.

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“…Due to the presence of gear backlash, the gear pair contains a rigid body displacement [33]. To eliminate the rigid body displacement that makes the equation solvable, the relative coordinate x is thus described in the gear system, which can be represented by where e(t) = e m + e r • sin(ωt + φ) refers to the static transmission error, in which e m is the mean value, e r represents the volatility value, and φ stands for the initial phase of error.…”

Section: Equations Of the Gear Pair Systemmentioning

confidence: 99%

Bifurcation and chaos analysis for a spur gear pair system with friction

Xia

Wan

Wang

2018

J Braz. Soc. Mech. Sci. Eng.

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Considering time-varying meshing stiffness, gear backlash, static transmission error and tooth face friction, a nonlinear dynamic model for a spur gear pair is proposed to research systematically the dynamic behaviors of system, in which the meshing stiffness of gear pair is deduced and calculated in terms of the extending period method. Meanwhile, the sliding friction force under single-tooth and double-tooth meshing regions is constructed as a function of the meshing principle. Based on the developed model, the bifurcation and chaos characteristics of system under lightly and heavily loaded conditions are studied, respectively, by applied Runge-Kutta numerical method, and the parametric effects of rotational speed, damping ratio and gear backlash on the dynamic behaviors are investigated detailedly. Bifurcation diagram, three-dimensional frequency spectrum, time-domain waveform, frequency plot, phase diagram, Poincaré map and dynamic load are used to discuss and determine motion states and dynamic responses of system. The numerical results represent that with the change of control parameters the system undergoes various types of motion states under different loaded conditions. The corresponding meshing contact states of tooth pair are transformed among no impact, single-sided impact and double-sided impact. The research results can provide certain guidance for choosing suitable parameter values to reduce the amplitude of vibration and even avoid the chaotic response in gear system.

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Dynamic load sharing behavior of transverse-torsional coupled planetary gear train with multiple clearances

Cited by 19 publications

References 18 publications

The nonlinear dynamics response of cracked gear system in a coal cutter taking environmental multi-frequency excitation forces into consideration

The nonlinear dynamics response of cracked gear system in a coal cutter taking environmental multi-frequency excitation forces into consideration

Research Progress in Dynamics of Planetary Gear Transmission System

Bifurcation and chaos analysis for a spur gear pair system with friction

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