It is assumed that this elemental area of the disk is uniformly loaded.
Considering a rotor disk, (Figure 2), at radius r from the center, a ring with infinitesimal thickness dr, and considering the assumptions mentioned above about uniform disk loading, the elemental thrust, dT, generated by this elemental area is described as
This solution was based on the rectangular elemental area
as shown in Figure 1(a).
The elemental area
term in that equation is now given by dXdY = Jd[xi] d[eta] where J is called the Jacobian of the transformation between X-Y and [xi]-[eta].
where [dF.sub.t] and [dF.sub.b] are the elemental friction forces applied to the lateral and frontal surfaces of shank, respectively; [dA.sub.t], and [d4.sub.b] are the elemental areas
of the lateral and frontal surfaces of shank, respectively; and [dN.sub.t], and [dN.sub.b] are the elemental normal forces exerted on the lateral and frontal surfaces of shank, respectively.
These rankings were also examined by splitting the respondents up into: those directly involved in the total logistics operation; those working in one of the elemental areas
of logistics; and those working in other functional areas.