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 forces and slip between conoids and rollers in a component.
| Identifier | WestWitteringFiles\R\2October1927-November-1927\ 101 | |
| Date | 18th July 1927 guessed | |
| - 3 - "carry" the conoids with them and longitudinal slip along the generating lines of the rollers occurs. Thus along each roller there is a force of (viscous) friction L exerted by the outer conoid and tending to pull the roller (longitudinally) towards X. This force has a component L sin α in a plane perpendicular to the axis of the shaft and these forces L sin α produce a torque applied by the outer conoid to the rollers and transmitted by the latter to the inner member. (b) From the shape of the conoids it can be seen that the perimeter of a cross-section at the level CD is greater than at the level AB. It follows that if the cylindrical rollers fit closely along AB they are loose along CD. This is also clearly shown by Fig. 5, which exhibits the sections of two adjacent rollers at the two levels (in accordance with the geometrical construction of Fig. 2 of the earlier report). If the two elliptic sections of the rollers touch one another at the level AB (shown by the full curves in fig. 5) they will clearly fail to touch when each is slid through the same distance in the direction of its long axis, which leads to the interrupted lines giving the sections at the level CD. But, further, it appears from the above that, in order to revolve about the axis of the shaft through any given angle, the parts of a roller nearer to Y (fig.4) would have to roll through a greater path than the parts nearer to X; and since the rollers are cylindrical, this is clearly not possible. Thus the parts of the rollers away from the neck must slip transversely, and a transverse force T (fig. 4) is brought into play from this cause. This force T has a component T cos α in the plane perpendicular to the axis of the shaft; and these forces T are | ||