A Load Distribution Model for Planetary Gear Sets

Abstract

Here, a load distribution model of planetary gear sets is presented capable of dealing with planetary gear sets with any component level and gear set level design variations such as component supporting conditions, different kinds of gear modifications and planetary gear sets with different numbers of equally or unequally spaced planets as well as different gear set kinematic configurations while considering gear mesh phasing. It also accounts for classes of planetary gear set manufacturing and assembly related errors associated with the carrier or gears, i.e. pinhole position errors, run-out errors and tooth thickness errors. Example analyses are provided to indicate the need for a model of this type when studying load distribution of planetary gear sets due to unique loading of the gear meshes associated with planetary gear sets. Comparisons to measurements existing in the literature are provided.

Mesh Phase Analysis of Encased Differential Gear Train for Coaxial Twin‐Rotor Helicopter

“…Hu added the mesh phase difference introduced by helical angle to that of spur gear to obtain the mesh phase difference of the helical gear, established a load sharing calculation model considering the mesh phase, and calculated the load sharing factors of the system under different phase relations. The trajectory of the sun gear [19] was obtained, which is in good agreement with the experimental results [20,21].…”

Synthesis method for planetary gear trains without using rotation graphs

“…Planetary gear trains (PGTs) are widely used in transmissions of vehicles, pulley blocks, wristwatches, machine tools, and robots. The synthesis 1–13 and analysis 14–18 of planetary gear trains (PGTs) based on graph theory have become a hot topic in mechanism research over the past half-century. Up to date, many works exhibiting different synthesis methods have been implemented.…”

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

“…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.…”

“…16 The planar (2D) planet position errors were considered in the dynamic/load distribution modeling of PGTs. [5][6][7][8][9][10][11][12][13][14][15] Botman and Toda studied the influence of errors and found significant effects depending on planet position errors. 5 Bodas and Kahraman had made outstanding contribution to the influence of planar planet position errors on the load sharing performance.…”

“…10 Hu and Kahraman established the load distribution model of PGTs considering planar manufacturing and assembly errors. 11 Kim et al analyzed load sharing behavior considering planar carrier pinhole position errors with experimental validation. 13,19,20 Park investigated the effects of planar planet position errors and non-torque loads on load sharing behavior of wind turbine gearbox.…”