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User inputs:
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Segment length (L segment.)
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Root chord (Corde E).
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Tip chord (Corde S)
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leading edge sweep (Flèche).
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twist.
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Diehedral (optional).
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Leading edge thickness.
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Trailing edge width
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skin thickness.
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Spar(s) position.
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Spar(s) dimensions.
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| tan Alpha = Fleche / L segment
Recul E = tan Alpha * Decalage E ---> Definition of the root starting
point.
Recul S = tan Alpha * Distance
tan Beta = (Corde E - (Corde S + Fleche)) / L segment
Course E = Corde E + Recul E + (tan Beta * Decalage E)
Course S = Course E - (Recul S + (tan Beta * Distance)) |
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Leading edge withdrawal (RBA).
RBA = epBA / cos Alpha
Trailing edge withdrawal (RBF) .
RBF = epBF / cos Beta |
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Skin withdrawal at (X0,Y0).
Slope = (Yb - Ya) / (Xb - Xa) = tan Gamma
For EXTRADOS
X = X0 + ep * sin Gamma
Y = Y0 - ep * cos Gamma
For INTRADOS
X = X0 - ep * sin Gamma
Y = Y0 + ep * cos Gamma |
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L' = L/cos Delta
The spare is supposed to be located in an area of the airfoil section
where the tangent is horizontal (or merely horizontal...)
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Spar withdrawal
L : spar width
H : spar height
P : Position of the spar(s) axis over the chord ( mm or % of chord)
If 1 single spar Extrados and/or Intrados:
From X = (P - (L'/2) one realize Yl = Y - H at Extrados up to X = P
+ (L/2)
From X = (P - (L'/2) one realize Yl = Y + H at Intrados up to X = P
+ (L/2) |
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Wing twist of an Alpha angle. The airfoil section is rotated
around the (0,0) coordinates.
r = sqaure root(X² + Y²)
Teta = arcsin (Y/r)
X' = cos(Teta + Alpha)
Y' = sin(Teta + Alpha)
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Modification of the airfoil section relative
thickness. Abandon! (pour la première version...)
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The initial thickness is given from the airfoil section : Epr.
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The medium line (Yligne) is determined as:
for any X with Ysup and Yinf values for Extrados/intrados :
Yligne = (Ysup + Yinf) / 2
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Epr2 : desired thickness.
For any X the new extrados point is Ysup' = (Ysup - Yligne)
* Epr2 / Epr
For any X the new intrados point is Yinf ' = (Yinf + Yligne) *
Epr2 / Epr |
| Estimation of the apparent wire diameter change
as a fonction of the wing aspect ratio (tip chord/root chord).. |