This version is based on the idea
to obtain an aircraft with an improved operative range and an incremented
cruise speed. To obtain this we have decided to change the wing, introducing
a delta configuration, remove the tailplane increasing the foreplane
surfaces and replace the two original turboprops with three Williams
International FJ33-2 turbofans that provide to the plane a thrust of
21,75 kN. These engine are positioned two under the wing and one in the
tail.

In the first solution we had positioned the two nacelle at 30cm from
the fuselage, but after we had noticed that this configuration cause
the creation of a transonic speeds of air flow, we have decided to increase
that distance to 50 cm. This because we can imagine this narrowing as
the pinched part of the De Laval nozzle. As we know in this point there
is the maximum speed and the minimum pressure, so it is possible for
an aircraft that flies at speed next to transonic to generate in proximity
of narrowing a transonic flow that increase the induced drag, and that
cause an inefficiency of aerodynamic structures. Analysing the features
of the new airplane and its needs, as for example the necessity to equip
it with three engines, we have decided to remove the tailplane, increase
the foreplane surfaces and move the wing backward. Thanks to an analysis
of the moments of forces generated by all lifting surfaces we were able
to maintain unchanged the barycentre location moving backward the wing
of only 9 cm and increasing the foreplane area from 2,19 m2 to 2,40 m2.
To generate the needed moments and forces, we have introduced some new
mobile surfaces. First, to compensate the lack of the tailplane, we allow
the symmetric motion of the foreplane that becomes a canard.
Canard:
The foreplane, that in the P180 has only
the function of stabilizer, in the P180 3xFJ33-2 has a new function,
now it has to replace the tailplane. To obtain this we have transformed
it into a canard that, with an increase surface of 2,40m2, is able
to create the needed moment of forces necessary to make the plane to
take off. We have also maintained the two edge-flaps positioned under
the tail useful to maintain a good cruise stability and to create some
additional lift forces.
Wing:
In the beginning the Piaggio P180 has a straight
wing with a profile that is not a standard Naca but a internal Piaggio
Standard. At the root it has a PE 1491 section and the tip the PE 1332G.
The new installed wing has a Delta configuration, this in order to take
advantage from the adding of thrust that improves the max speed of the
plane. For this wing we will use Standard Naca profile. The percentage
thickness of these sections is lower than the original one at the root
to compensate the improved chord and remain the same at the tip to support
the weight of the winglets. To obtain an acceptable variation in speed
(however not superior to 10%) we had to sweep back the leading edge until
20°, and to maintain the same wing loading without increasing the
drag coefficient we have to reduce the wing span at 13,20m and increased
the root chord at 2,50m. For the root section we used a NA63A411 while
at the tip we maintained a profile similar to the original one, but NACA
(NACA 4412).
As we can see the induced drag result increased from
the original value (0.092 instead of 0.082). Because of this we have
decided to apply the winglets that reduce the creation of wingtip vortices
to induced a 5% decrement of the drag coefficient (CdI) necessary not
to obtain a too high value of the drag during the take-off. To increase
the efficiency of the wing is possible to apply a series of parallel
vortex generator that force the flow go straight above the wing reducing
the possibility of flow separation (cause a loss of lift) with the
creation of turbulent flow
.
Wing Materials:
The wing is
one of the most stressed part of the plane, in fact this structure must
resist torsion, blending and traction forces created from the action
of thrust of the engine and from the drag of the air flow on the aerodynamic
section. For this reason we must use different materials to build the
wing. The internal structure of the wing is composed with 2 main spars
and 16 ribs that make possible the maintenance of the wing shape also
when high stressed, typically in the last moments of the flight when
the fuel tanks are empty and so cannot oppose their weight to lift force.
As in the original version the wing is made in aluminium while the mobile
parts are made of composites, but this version has a delta configuration
of the wing that make possible to reduce the wing weight without compromising
its structure.
Lift distribution on wing:
As we can observe in the graph
below the higher lift is concentrated in the part of the wing near to
the fuselage more than in case of the original wing so that the extremity
stress results inferior as the structure complexity needed to support
it.

Fuselage:
The structure of this plane is the same of the
original one except for some little changes needed to sustain the new
wing, the canard and the third engine. So the central former, originally
used to sustain the turboprops, was removed and the posterior one was
moved backwards. The introduction of the central engine inside the plane
requires the use of two air inlet positioned on the sides of the fuselage,
above the wing, while nothing of the structure has to change because
the formers and the stringers, used to sustain the tail, can be used
also for the engine body. On the nose, to introduce the mobile canard,
we have to change the sustain of the foreplane mounting two bearing to
make possible the rotation around its axis.
Engines
(turbofan):
To increase
the thrust we have mounted three Williams International FJ33-2 turbofan
engine, two under the wing and one in the back of the fuselage. This
one is positioned inside the structure, because after a fast analysis
we notice that that third engine could caused some aerodynamic noise
and structural problem. To made possible this solution we had to introduce
two air inlet above the fuselage.

Weight analysis:
The presence of three engines and the new position of the wing can
involve the regression of the CM, that instead remain almost in the
same position. This because the total weight of the engines is almost
the same of the turboprops previously mounted, the weight of the wing
is lower and the mass of the tailplane removed is not negligible (105,33
kg). As it is possible to observe from these values the Center of Masses
moves backward of only 1.6 cm, thing that gives us the possibility
to maintain the landing gear in the same position as on the original
plane. The same is for all other things inside the fuselage like fuel
tanks, but also systems and equipment.

Landing gear:
The landing gear of the modified version
of the Piaggio P180 is the same of the older one, in fact for all the
taxing phase the plane is supported by a tricycle. This arrangement
as one gear strut in front, called nose wheel, and two main gears slightly
after the gravity center. These are allocated in the sides of the fuselage
under the wing.
Wheel distance (nose-back): 5.79 [m]
Distance from the barycentre
to back wheels: 0.40 [m]
Load on back wheels: 2x23922 [N] ≈ 2438 [kg]
Load
on nose wheels: 3550.59 [N] ≈ 363 [kg]
Cockpit:
This plane is provided
with some of the most advanced flight control systems. The cockpit
of the P180 3xFJ is essentially the same of the original version, it
changes only in some flight controls for the engines.
Flight Controls: Control surfaces are connected to the
pilot controls via cables in a closed loop system. Primary controls
are made up of ailerons, canard (as elevator) and rudder. The control
of the rotation of the nose wheel and the rudder is made with a couple
of pedals hinged on the cockpit floor, in dual-pilot control configuration.
The pitch control system in an all moving canard assembly.
The canard provide primary pitch control and is made up of two separated
surfaces hinged to the fuselage nose.
Differential ailerons provide
roll control. In the original version the aileron is equipped with
a trim tab on its right, while in the modified version we have to adopt
electro-mechanical systems to apply small corrections that enables
the pilot to control the plane improving the handling qualities.
The
flap systems consists of two mechanically independent sets of flaps:
main wing outboard and inboard flaps. Each set of left and right flaps
is mechanically interconnected and the operation of all flaps is synchronized
by an electronic control unit that controls the power supply to the
flap D.C. motors.
X-Plane model:
Additionally to see
if our version might fly we have created a simplified model on X-Plane
a flight simulator with FAA-certification for flight training. After
this test we have notice that the plane has some stability problems,
as showed in the images below, but in general it can fly without many
difficulties.
