S111032 遠心力の影響を考慮した傾斜ウェブを持つ三次元構造薄肉平歯車の歯面接触応力及び歯元応力の理論解析([S11103]伝動装置の基礎と応用(3))

Abstract

Deformations of thin-rimmed spur gears with inclined webs are analyzed by finite element method (FEM) when the gears are loaded under centrifugal forces. Then loaded tooth contact analyses of the gears with centrifugal deformations are conducted by mathematical programming method and FEM when the gears contact with a solid mating gear. Tooth contact stress and root bending stress are analyzed by FEM at the same time. It is found that centrifugal load exerts greater effect on tooth root stress when gear speed is over 10000rpm. So, it is necessary to take the effect of centrifugal load into account in tooth root strength calculation when gear speed is over 10000rpm. It is also found that centrifugal deformations of the gears almost have no effect on tooth contact patterns of the gears having inclined webs, though it has been reported that centrifugal deformations of the gears with the straight web have great effect on tooth contact patterns. This is because shape of the inclined web after centrifugal deformation is completely different from the shape of the straight web after centrifugal deformation. This difference results in the difference of tooth attitudes and then the difference of the effects of tooth centrifugal deformations on tooth contact patterns. It can be concluded that the effect of centrifugal deformations of the inclined web gears on tooth contact pattern can be neglected even if the gears have very high speeds.