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a
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NP
CP
Wind
CG
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Force Fx
x
Force Fx
Fx<0
Fx<0 Fx>0
Fx>0
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a
Cm (Pitch moment)
CG NP
a
Cm (Pitch moment)
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a
Cm
Cm
Cl
Cm0
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a
Cm
a
Cm
a
Cm
a
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WingWing
ElevElev
AreaMAC
AreaLATV
LAElev
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ElevElevWingWing
ElevElevWing ClTVCl
AreaMAC
AreaLACm
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ElevElevWingWing
ElevElevWing ClTVCl
AreaMAC
AreaLACm
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ElevElevWingWing
ElevElevWing ClTVCl
AreaMAC
AreaLACm
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d
d
d
WingWing
2ElevElev
AreaMAC
cosAreaLATV
d
Lift
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Wing
CGNP
MAC
XXSM
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a
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a
Cl
a
Cm
a
a a
a
XCP
a a
a
a
ae
ae
ae
a
Cl/Cd
ae
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Wing CP
CG
Elev CP
Wing CP
Elev CPNP NP
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NACA 1410
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Eppler 186
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CG
F
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a
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time
Response
time
Response
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time
T = 1/440 s
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L = ½ S V² Cl
a
Cl
a
a
time
Response
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time
Response
Cm=f(α)
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time
Response
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time
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•
•
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-0.8
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
0.8
1.0
1.2
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Underdamped
Critically
damped
Overdamped
訳注:左図では凡例の色が間違っているようです
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1 N
N N
1 1 1
1 N
tiω+ke=ek=f(t) N1
σλt.
Imaginary part /2
Real part
2211 Nω+σ=ω
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=0
=0
Imaginary part /2
Real part
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Imaginary part /2
Real part
Imaginary part /2
Real part
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•
•
• •
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Im/2
Re time
Response
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Revision 2.1 – Copyright A. Deperrois - November 2010 日本語訳:稲川貴大 – 2011年1月
time
Response
timeRamp time
Control amplitude
time
Flight variable(u,w,q) or (v,p,r)
00
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Revision 2.1 – Copyright A. Deperrois - November 2010 日本語訳:稲川貴大 – 2011年1月
02u
MAC=t
3
y
yMACSρ
=I..
8Iˆ
MACSρ=μ
..
2m
α
C=C m
αm
α
C=C z
αz
Cma Cza Cm = f(a) Cz = f(a)
μ
C=B α
z
2ty
αm
It
C=C
ˆ2
4C2π
1 2
2 +B=F
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0
g
2π
1ph
u=F
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Revision 2.1 – Copyright A. Deperrois - November 2010 日本語訳:稲川貴大 – 2011年1月
u0 = 16.20 m/s
a 1.05 °
q = 160.74 Pa
Cx = 0.0114
Cz = 0.1540
dCm/da = -1.9099dCz/da = -5.3925
F1 F2 XFLR5 v6 Fph XFLR5 v6
Frequency (Hz) = 4.45 4.12 3.86 0.136 0.122
Period (s) = 0.225 0.243 0.259 7.3 8.2
Short Period Phugoid
MAC = 0.1520 m²
Mass = 0.5250 kg
Iyy = 0.0346 kg.m²
S = 0.2070 m²
1.225 kg/m3
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-0.7
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0.0
0.1
0.2
0 2 4 6 8 10
-0.08
-0.06
-0.04
-0.02
0.00
0.02
0.04
0.06
Pitch rate
Pitch Angle Phugoid
mode
Short Period Mode
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Forward CG
Slightly forward CG
Neutral CG
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a
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a
a
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a
a(t)
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Revision 2.1 – Copyright A. Deperrois - November 2010 日本語訳:稲川貴大 – 2011年1月
言うまでもないが,このプレゼン資料はMatthieu Scherrerにかなりお世話になっています.ありがとうMatt !