Influence of a Free Elevator on Lift and Moment

In Sec. 2.3 we have dealt with the pitch stiffness of an airplane the controls of which are fixed in position. Even with a completely rigid structure, which never exists, a manually operated control cannot be regarded as fixed. A human pilot is incapable of supplying an ideal rigid constraint. When irreversible power controls are fitted, how­ever, the stick-fixed condition is closely approximated. A characteristic of interest from the point of view of handling qualities is the stability of the airplane when the elevator is completely free to rotate about its hinge under the influence of the aerody­namic pressures that act upon it. Normally, the stability in the control-free condition is less than with fixed controls. It is desirable that this difference should be small. Since friction is always present in the control system, the free control is never real­ized in practice either. However, the two ideal conditions, free control and fixed con­trol, represent the possible extremes.

When the control is free, then Che = 0, so that from (2.5,2)

1

Ce – ~ T~ (C0 + C« + b38,) 02

(2.6,1)

The typical upward deflection of a free-elevator on a tail is shown corresponding lift and moment are

in Fig. 2.24. The

Cfree = C, a + QsAf™

Cf„e = C0 + Cma + cms8efm

(2.6,2)

After substituting (2.6,1) into (2.6,2), we get

Cfree = Co + C, Jot ~ Co С„а

(a)

(2.6,3)

Ф)

where Clo = – % (Cheo + b38t)

t ^ CLsChea

Cl — Cr 0/ ,

" La b2

(a)

(2.6,4)

Ф)

Co = Со г (c„ + m,)

Стя che

/-% nCa

m“ – m“ b2

(a)

(2.6,5)

(b)

Influence of a Free Elevator on Lift and Moment

When due consideration is given to the usual signs of the coefficients in these equa­tions, we see that the two important gradients CLa and Cma are reduced in absolute

magnitude when the control is released. This leads, broadly speaking, to a reduction of stability.