From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).
Mechanical analysis of roller slipping, inclination, and the forces affecting their motion.
| Identifier | WestWitteringFiles\R\2October1927-November-1927\ 103 | |
| Date | 18th July 1927 guessed | |
| - 5 - slipping. If we now suppose the rollers to roll transversely, while slipping longitudinally, the ratio of longitudinal slip to transverse roll is tanβ, where β is the inclination of the line of contact to the shaft axis. If we now refer to fig. 5, let M.N. be the points of contact of a roller at the section AB of fig. 4. Then the generators through MN meet the section at level CD at the points R, S1 which are the extremities of the minor axis of the elliptic section of the roller at that level. Let P.Q. be the points of contact of the roller with the inner and outer conoids respectively, at the level CD. It will be seen that P is to the left of R in fig. 5, while Q is to the right of S. Hence the inclination β1 of the line of contact through MP is less than α (the inclination of MR) and the inclination β2 of the line of contact through NQ is greater than α (the inclination of NS{Norman Scott}), so that β2 is greater than β1; β1 referring to the inner, β2 to the outer, contact. Now, from the geometrical conditions of rolling of a circular cylindrical roller, the transverse rolls on two sensibly parallel surfaces are equal. It follows that the greater rate of longitudinal slip corresponds to the greater β. Hence the rate of longitudinal slip on the outer member will be greater than the rate of longitudinal slip on the inner member. This alone will tend to make L > L1. But further, the rollers have an appreciable inertia; and, owing to their rapid rotation about the shaft axis, centrifugal force will cause them to press more upon the outer than upon the inner conoid. This will tend further to increase L relatively to L1, and this effect will be the | ||