Langley Memoir on Mechanical Flight, Parts I and II: Smithsonian Contributions to Knowledge, Volume 27 Number 3, Publication 1948, 1911Langley, S. P. (Samuel Pierpont)
History
Langley Memoir on Mechanical Flight, Parts I and II: Smithsonian Contributions to Knowledge, Volume 27 Number 3, Publication 1948, 1911
Langley, S. P. (Samuel Pierpont)
Aeronautics; Flight
The curved wings used on the aerodromes in late years have a rise of
one in twelve, or in some cases of one in eighteen,[24] and for these
latter the following empirical local rule has been adopted: [p047]
The center of pressure on each wing with a horizontal motion of 2000
feet per minute, is two-fifths of the distance from front to rear.
Where there are two pairs of wings of equal size, one following the
other, and placed at such a distance apart and with such a relation
to the propellers as here used, the following wing is assumed to
have two-thirds of the efficiency of the leader per unit of surface.
If it is half the size of the leader, the efficiency is assumed to
be one-half per unit of surface. If it is half as large again as
the leader, its efficiency is assumed to be eight-tenths per unit
of surface. For intermediate sizes of following wing, intermediate
values of the efficiency may be assumed.
These rules are purely empirical and only approximate. As
approximations, they are useful in giving a preliminary balance, but
the exact position of the center of pressure is rarely determinable
in either the horizontal or vertical plane, except by experiment in
actual flight. The position of the center of gravity is found with
all needed precision by suspending the aerodrome by a plumb-line in
two positions, and noting the point of intersection of the traces of
the line, and this method is so superior to that by calculation, that
it will probably continue in use even for much larger constructions
than the present.
The principal factor in the adjustment is the position of the wings
with reference to the center of gravity, but the aerodrome is moved
forward by the thrust of its propellers, and we must next recall the
fact of experiment that as it is for constructional reasons difficult
to bring the thrust line in the plane of the center of pressure of
the wings, it is in practice sufficiently below them to tend to tip
the front of the aerodrome upward, so that it may be that equilibrium
will be attained only when ‹CP›_1 is ‹not› over ‹CG›_1.
In the discussion of the equilibrium, then, we must consider also the
effect of thrust, and usually assume that this thrust-line is at some
appreciable distance below the center of pressure.
We may conveniently consider two cases:
1. That the center of pressure is not directly over the center of
gravity; that is, ‹CG›_1−‹CP›_1 = ‹a›, and estimate what the value of
a should be in order that, during horizontal flight, the aerodrome
itself shall be horizontal; or, [p048]
2. Consider that the center of pressure is directly over the center
of gravity (‹CP›_1−‹CG›_1 = 0), and in this case inquire what angle
the aerodrome itself may take during horizontal flight.
First case. The diagram (Fig. 4) represents the resultants of
the separate system of forces acting on the aerodrome, and these
resultants will lie in a vertical medial plane from the symmetry of
their disposition.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account