Basic Theory on Tooth Contact and Dynamic Loads of Gears Dynamic Incremental Loads and Variation of Bearing Loads of a Gear Pair Having Modified Involute Helicoids for One Member

Abstract

When a path of contact and its contact normals of a gear pair which has symmetrical convex tooth surfaces (elastic) modified slightly from true involute helicoids for one member and the conjugate surfaces (rigid) of the true involute helicoids for the other are given under load as functions of angle of rotation, the equations of motion are solved to obtain the dynamic incremental load algebraically. The equations of motion of all kinds of gear pairs having modified involute helicoids like mentioned above are expressed by the same ones which have been already obtained for the involute helical gears with the modified tooth surfaces. So that the solution, namely the dynamic incremental load is also expressed the same from cylindrical to hypoid gears. The variation of bearing loads is calculated, which consists of both the dynamic incremental load and the fluctuation of the static load that is generated by the wrong selection of the path of contact in the small contact ratio.