Effect of Ring-Planet Mesh Phasing and Contact Ratio on the Parametric Instabilities of a Planetary Gear Ring

Canchi, Sripathi Vangipuram; Parker, Robert G.

doi:10.1115/1.2803716

Cited by 32 publications

(16 citation statements)

References 16 publications

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“…Therefore, when studying the dynamic response and stability of complex systems, some scholars choose to use pure torsion model to model planetary gear transmission system in order to simplify the model and reduce the amount of calculation. Parker et al [6], [7], [8] studied the stability of single-stage planetary gear system with pure torsion model, analyzed the nonlinear effect, and solved the response of planetary gear system with euler method. In 2003, Sun and Hu [9] used pure torsion model to study the nonlinear dynamic characteristics of multi-clearance planetary gear transmission system.…”

Section: A Pure Torsion Dynamics Modelmentioning

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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Section: A Pure Torsion Dynamics Modelmentioning

confidence: 99%

Research Progress in Dynamics of Planetary Gear Transmission System

Wang¹,

Zhang²,

Wang³

2019

IJEAS

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“…In an early dynamic model the influence of bearing stiffness on the static characteristics of planetary gear systems with manufacturing errors was first analyzed [17]. The effects of meshing stiffness, tooth profile modification, meshing phase, contact ratio and other factors on the suppression of system vibration and noise were researched [18,19]. Then, lumped-parameter and finite element models with bearing clearance, tooth separation, and gear mesh stiffness variation are developed to investigate the nonlinear dynamic behavior of planetary gear systems [20].…”

Section: Introductionmentioning

confidence: 99%

Vibration Characteristics Analysis of Planetary Gears with a Multi-Clearance Coupling in Space Mechanism

Zhang

Fan

et al. 2018

Energies

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Multi-clearance is the main cause for the performance and reliability decline of complicated mechanical systems. The increased clearance could induce contacts and impacts in joints, and consequently affect control accuracy. A nonlinear dynamic model of planetary gears with multi-clearance coupling is proposed in the current study to investigate the mechanism of influence of clearance on the dynamic performance. In addition, the coupling relationship between radial clearance and backlash is integrated into the multi-body system dynamics. The vibration characteristics of planetary gears with the changes of rotational velocity, clearance size and inertia load are explored. The numerical simulation results show that there are complex coupling relations in planetary gear systems, due to the multi-clearance coupling. The phenomenon of system resonance may occur with the changes of rotational velocities and clearances’ sizes. Multi-clearance coupling can significantly increase the resonant response of planetary gear systems in empty-load or light-load states.

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“…Published studies directly or indirectly use the structure and excitation symmetries to capture vibration nature. The studies can be roughly considered in three groups: typical vibration modes [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21], planet phasing [1,3,[22][23][24][25][26][27][28][29][30][31][32][33][34][35], and sideband [35][36][37][38][39][40][41][42][43][44], where the first group relates free vibration, but the last two link forced and parametric ones induced by the mesh or planet-pass excitations. Regardless of excitation patterns, free or forced, rigid or elastic, or even rigid-elastic coupling vibrations, motivations on the problem-solution method or physical explanations on the vibrations...…”

Section: Introductionmentioning

confidence: 99%

“…The phasing behaviors of the spur and helical PGT are in essence the same except for the specific excitations and vibration patterns. Canchi and Parker [28] studied the influence of mesh phase on parametric instability of the planetary ring gear and closed-form results were obtained. Yang and Dai [33] formulated the effect of mesh phase on primary and combination resonances by Multiple Scale method.…”

Section: Introductionmentioning

confidence: 99%

Investigation on Mesh and Sideband Vibrations of Helical Planetary Ring Gear Using Structure, Excitation and Deformation Symmetries

Wang

Meesap

2018

Chin. J. Mech. Eng.

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Time-variant excitations in planetary gear trains can cause excessive noise and vibration and even damage the system on a permanent basis. This paper focuses on the elastic vibrations of a helical planetary ring gear subjected to mesh and planet-pass excitations. Motivated by the structure, excitation and deformation symmetries, this paper proposes dual-frequency superposition and modulation methods to capture the mesh and sideband vibrations. The transition between ring gear tooth and planet is introduced to address the excitations and vibrations. The phasing effect of ring gear tooth and planet on various deformations is formulated. The inherent connections between the two types of vibrations are identified. The vibrations share identical exciting rules and the wavenumber and modulating signal order both equal the linear combination of tooth and planet counts. The results cover in-plane bending and extensional, out-of-plane bending and torsional deformations. Main findings are verified by numerical calculation and comparisons with the open literature. The analytical expressions can be used to determine whether the sideband is caused by component fault or only by elastic vibration. The methods can be extended to other power-transmission systems because little restriction is imposed during the analysis. which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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Effect of Ring-Planet Mesh Phasing and Contact Ratio on the Parametric Instabilities of a Planetary Gear Ring

Cited by 32 publications

References 16 publications

Research Progress in Dynamics of Planetary Gear Transmission System

Research Progress in Dynamics of Planetary Gear Transmission System

Vibration Characteristics Analysis of Planetary Gears with a Multi-Clearance Coupling in Space Mechanism

Investigation on Mesh and Sideband Vibrations of Helical Planetary Ring Gear Using Structure, Excitation and Deformation Symmetries

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