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z xc
c4
N= 20 = 5 = 0 = 5
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ze(x)
zc(x) x
zperf il(x) = zc(x) ze(x)
dzpdx
1 1
= Ux cos +Uzsin + Ux+Uz+
2 = 0, | | 0
z =U
+
dzcdx
U
dzedx
en z = 0
z = 0
espesor+ sustentador
sustz
=U
+
dzcdx
en z = 0
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z(x) =
fmaxx2fmax
(2xfmaxx x2) 0 x < xfmax
fmax
(1 xfmax)2
(1 2xfmax+ 2xfmaxx x2) xfmax x
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0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.04
0.03
0.02
0.01
0
0.01
0.02
0.03
0.04
x/c
z
z xc
N+ 1 j
Vi
ni = 0 = Uni = Vni
i
dz
dxi =
1
U
N
j=1
vi,j dz
dxi =
zi+1 zi
xi+1 xi
vi,j
N+1 = 0 O(zp) x
vi,j = 1
2(Bi,jj+ Ci,jj+1)
Bi,j = ri,j+1
ljln
ri,j+1
ri,j
1
Ci,j = 1 +ri,j
ljln
ri,j+1
ri,j
lj =xj+1 xj ri,j = xci xj ri,j+1 = xci xj+1
dz
dx
i
= 1
2U
Nj=1
Ai,jj ; Ai,j = Bi,j+ Ci,j1 Ci,0 = 0
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U= 1 N N
[Ai,j] {j} = {bi} bi = 2
dz
dx
i
A
A
cli= li
1
2U2
(xi+1 xi)
=1
2U(i+1+i)(xi+1 xi)
1
2U2
(xi+1 xi)
=i+1+i
U
N+1 = 0 clN =N = 5 , 0 , 5
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 15
4
3
2
1
0
1
2
3
4
5
x/c
distr.sustentacinc
l(x/c)
= 5
= 0
= 5
(Cpintrados Cpextrados)(x)
A0tan 2
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x/c cl(x/c)= 5 = 5 = 0
i = 1
0
dz
dx
d= 1
m
0
2fmax
(1 xfmax)
2 xfmax 1 + cos
2 d+
1
m
2fmax
x
2
fmaxxfmax
1 + cos
2d
cos m = 2xfmax 1 ideal 0, 45
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 11
0.5
0
0.5
1
x/c
distr.sustentacin
cl(x/c)parai
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x/c cl(x/c)
ideal
= ideal A0 = 0
Cl=1
c
Ni=1
cli(xi+1 xi)
Cl
10 8 6 4 2 0 2 4 6 8 102
1.5
1
0.5
0
0.5
1
1.5
2
()
CL
()
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SN Cl= 0 ideal
SN= 1
0
dz
dx(1 + cos )d 0, 91
cmiba = miba
1
2U2
(xi+1 xi)c
= lixpcicos 1
2U2
(xi+1 xi)c
= clixpci
c
CMba=1
c
Ni=1
cmiba(xi+1 xi)
10 8 6 4 2 0 2 4 6 8 100.5
0.4
0.3
0.2
0.1
0
0.1
0.2
0.3
0.4
0.5
()
CMba
()
c4
10 8 6 4 2 0 2 4 6 8 100.1
0.08
0.06
0.04
0.02
0
0.02
0.04
0.06
0.08
0.1
()
Cm,1
/4()
c4
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( ) CL() CMba() CM,1/4
xcp = cCMba
Cl
10 8 6 4 2 0 2 4 6 8 10
2
1.5
1
0.5
0
0.5
1
xcp
()
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( ) xCP
CL0
CL
CL=0 xca c/4
Cmca
ideal
N
x(i) = (i 1)/N i= 1,...,N+ 1
x/c
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0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
5
4
3
2
1
0
1
2
3
4
5
x/c
distr.sustentacin
cl(x/c)
= 5
= 0
= 5
N= 20
distrib CL(5 ) CL(0 ) CL(5 ) CMba(5 ) CMba(0 ) CMba(5 )
N= 20
N= 20 4,7s N= 1000 11,1s
N= 200
CL(5 ) CL(0 ) CL(5 ) CMba(5 ) CMba(0 ) CMba(5 )
N= 200
0 Cl = 5 , 0 , 5
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= 5
= 5 Cl = 0, 4689 Cl= 0, 4484
= 0
Cl = 0, 0994 Cl= 0, 0993
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= 5
Cl = 0, 6463 Cl = 0, 6470
A0
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