Abstract
A load-sharing analysis methodology was proposed for the multiple-branch star gear transmission which is composed of a number of closed-loop power flows. The moment equilibrium and deformation compatibility equations for the two-stage star gearing were derived, which are clearly different from that used in planetary gear transmission. Then the load-sharing analysis model was established and employed to systematically study the load-sharing behavior of the two-stage three-branch star gearing, some untouched aspects were investigated. Results show that the most sensitive directions of the central and star gear assembly errors on load-sharing are along the meshing line. The effects of the size and direction of the central gear–manufacturing errors on load sharing are the same for each branch, the initial directions of the central or a certain star gear–manufacturing errors will have no effect on the load-sharing coefficient of the system, but the initial directions of the assembly errors will. The conditions in which the load distribution curves repeat the first track were also obtained. Finally, a numerical example of a three-branch star gear aviation reducer was adopted to verify the feasibility of this proposed method, and the calculation results show good agreement with a previously published and validated model.
Highlights
It is well accepted that a multiple-branch gear transmission can reduce the load of each path significantly by splitting the input power into a number of parallel paths, while improving the power density ratio of the system and making the structure more compact
The most sensitive direction of the star gear assembly error is in the direction of the meshing line, which is the same for the central gears we analyzed above
It was shown that an eccentric error of an internal gear is the most sensitive to the load sharing of the system
Summary
It is well accepted that a multiple-branch gear transmission can reduce the load of each path significantly by splitting the input power into a number of parallel paths, while improving the power density ratio of the system and making the structure more compact. By substituting equations (11) and (16) into equation (10), the angular transmission errors can be obtained as follows ( DfspIi(TspIi) = TspIi=(KspIrbs2) + fespIi + fsi DfpIIir(TpIIir) = TpIIir=(KpIIrrbpII2) + fepIIir + fri ð17Þ
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