stability analysis with xflr5title stability analysis with xflr5 author ad created date 1/24/2011...

Revision 2.1 – Copyright A. Deperrois - November 2010 日本語訳：稲川貴大 – 2011年1月


a


NP

CP

Wind

CG


Force Fx

x

Force Fx

Fx<0

Fx<0 Fx>0

Fx>0


a

Cm (Pitch moment)

CG NP

a

Cm (Pitch moment)


a

Cm

Cm

Cl

Cm0


a

Cm

a

Cm

a

Cm

a


WingWing

ElevElev

AreaMAC

AreaLATV

LAElev


ElevElevWingWing

ElevElevWing ClTVCl

AreaMAC

AreaLACm


d

d

d

WingWing

2ElevElev

AreaMAC

cosAreaLATV

d

Lift


Wing

CGNP

MAC

XXSM


a


a

Cl

a

Cm

a

a a

a

XCP

a a

a

a

ae

ae

ae

a

Cl/Cd

ae


http://pierre.rondel.free.fr/Centrage_equilibrage_stabilite.pdf


Wing CP

CG

Elev CP

Wing CP

Elev CPNP NP


NACA 1410


Eppler 186


CG

F


a


time

Response

time

Response


time

T = 1/440 s


L = ½ S V² Cl

a

Cl

a

a

time

Response


time

Response

Cm＝f(α)


time

Response


time


•

•


-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


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


=0

=0

Imaginary part /2

Real part


Imaginary part /2

Real part

Imaginary part /2

Real part


•

•

• •


Im/2

Re time

Response


time

Response

timeRamp time

Control amplitude

time

Flight variable(u,w,q) or (v,p,r)

00


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


0

g

2π

1ph

u=F


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


-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


Forward CG

Slightly forward CG

Neutral CG


a


a

a


a

a(t)


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 !

stability analysis with xflr5title stability analysis with xflr5 author ad created date 1/24/2011...

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