Finite element analysis of internal gear in high-speed planetary gear units

Gao, Nan; Zhang, Jun

doi:10.1007/s12209-008-0003-0

Cited by 16 publications

(7 citation statements)

References 14 publications

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“…According to the principle of involute helicoid surface generation, the relative angle about z-axis between s J and s Jj is (2) When number of slice-units is large enough, the thickness of a slice-unit Δl= l/n l is very small, the tooth profile of the front-end face of a slice-unit is employed to approximately describe the tooth surface of the unit, thereby, all tooth profiles of slice-units in a gear form the gear tooth surface. Fig.…”

Section: Slice-units and Their Tooth Surfacesmentioning

confidence: 99%

“…Many research works on the load distribution problem of PGTs are available in literatures [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] , with approaches including finite element method [1][2] , analytical method [3][4][5][6][7][8][9][10][11][12][13][14][15] , analytical-FE method [16][17] and experimental method [18][19][20] , to address the load distribution performance under the influences of manufacturing and assembly errors. The finite element method is accurate and comprehensive by including elasticity and different errors, but it demands significant computational effort.…”

Section: Introductionmentioning

confidence: 99%

“…The finite element method is accurate and comprehensive by including elasticity and different errors, but it demands significant computational effort. [1][2] The analytical method of lumped parametric model owns high computational efficiency, low cost and reasonable accuracy for the load distribution analysis if the instantaneous geometry between gears is accurate, and time-varying mesh stiffness is considered accordingly. A lumped parametric dynamic model of a PGT was first established by Saada and Velex in 1992 to investigate the tooth loading critical frequencies.…”

Section: Introductionmentioning

confidence: 99%

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Modeling, Analysis and Testing of Load Distribution for Planetary Gear Trains with 3D Carrier Pinhole Position Errors

Dong

Zhang

Bai

et al. 2019

Int. J. Precis. Eng. Manuf.

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A discrete model to study the load distribution behavior of helical planetary gear trains (PGTs) is developed, in which 3D planet position errors, induced by carrier pinhole position errors and tooth modifications, are duly considered. The model adopts a discrete approach with which the planetary gear train is discretized into a series of slice-units in order to ease the problem of gear meshing in 3D cases. In the modelling, compatibility conditions and discrete equilibrium are developed for the coupling among 3D planet position errors, tooth modifications, instantaneous meshing situations, elastic deformations and rigid body spatial motions. Upon the discrete model, a method for analysis of the load distribution is further developed. The influence of 3D planet position errors and tooth modifications on the load distribution was simulated for a helical PGT having three and four planets. Tests on the actual wind turbine PGTs were conducted with results agreed with the simulations obtained, which validate the proposed method.

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Section: Slice-units and Their Tooth Surfacesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modeling, Analysis and Testing of Load Distribution for Planetary Gear Trains with 3D Carrier Pinhole Position Errors

Dong

Zhang

Bai

et al. 2019

Int. J. Precis. Eng. Manuf.

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“…Based on Pro/E and ANSYS, stress and elastic deflection of ring gear in high-speed spur gear train are investigated by Ge and Zhang. 16 The result of simulation shows that the principle stress and elastic deflection of ring gear increase with the decrease of rim thickness, and relative larger spring stiffness contributes to reduce the ring gear's principle stress and deflection. Bending stress of sun gear in a planetary gear train is calculated respectively by traditional method and FEM Ko et al 17 The result and comparison show rim thickness and root fillet radius have great and complex influences on bending stress of hollow sun gear.…”

Section: Introductionmentioning

confidence: 96%

Finite element modeling and analysis of planetary gear transmission based on transient meshing properties

Zeng

Jiang

Wan

et al. 2015

Int. J. Model. Simul. Sci. Comput.

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Planetary gear trains are widely applied in various transmission units. Whether strengths of all gears are accurately calculated or not can affect reliability of the entire system significantly. Strength calculation method for planetary gear trains usually follows the method for cylindrical gears, in which the worst meshing positions for both contact stress and bending stress cannot be determined precisely, and calculation results tend to be conservative. To overcome these shortcomings, a kinematics analysis for a planetary gear train is firstly performed, in which the influence of relative speed is investigated. Then the finite element strength analysis of a planetary gear train based on its transient meshing properties is carried out in ANSYS. Time-history curves of contact and bending stresses of sun gear, planetary gears and ring gear are respectively obtained. Also the accurate moment and its corresponding position of the maximum stress are precisely determined. Finally, calculation results of finite element method (FEM) and traditional method are compared in order to verify the effectiveness. Simulation and comparison show the stability of the proposed method in this paper. Researches in this paper establish the foundations for fatigue analysis and optimization for a planetary gear train.

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“…The methods used by these research are classified into three main types: numerical analysis [10], finite element method [13,14], and experiment [11]. The influence factors considered in the works consist mainly of meshing stiffness [15], support stiffness [16], assembly error, eccentric error [3,11,12,[17][18][19], profile modification [9], floating component [5,17,20], flexible component [21,22], and so on.…”

Section: Introductionmentioning

confidence: 99%

Influence of the Eccentric Error of Star Gear on the Bifurcation Properties of Herringbone Star Gear Transmission with Floating Sun Gear

Guo

Fang

Zhang

et al. 2018

Shock and Vibration

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Taking a herringbone star gear transmission (HSGT) with floating sun gear as an example, the system bifurcation characteristics with the changing of the eccentric error of star gear and the working frequencies are analyzed. For this analysis, a generalized dynamic model of HSGT considering the manufacturing eccentric errors, time-varying mesh stiffness, and load balancing mechanism is established and solved by numerical method. The floating process of sun gear is explained. In this paper, there are seven cases about the eccentric errors of star gears which are calculated, respectively. To study the effect of the working frequencies (including meshing frequency and rotation frequency), the calculation is done at three kinds of input speed in which the working frequencies are close to the system natural frequencies. The results are demonstrated in detail by the bifurcation diagrams, phase plane plots, and Poincare maps. The system bifurcation characteristics are particularly analyzed and compared in every case. This work provides important guidance to the engineering of HSGT.

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Finite element analysis of internal gear in high-speed planetary gear units

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Cited by 16 publications

References 14 publications

Modeling, Analysis and Testing of Load Distribution for Planetary Gear Trains with 3D Carrier Pinhole Position Errors

Modeling, Analysis and Testing of Load Distribution for Planetary Gear Trains with 3D Carrier Pinhole Position Errors

Finite element modeling and analysis of planetary gear transmission based on transient meshing properties

Influence of the Eccentric Error of Star Gear on the Bifurcation Properties of Herringbone Star Gear Transmission with Floating Sun Gear

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