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for Sections 1-6
~__~-- -
x,orxi d(:.).
--
Section Cre da
-_~~ -_--____-
1 1.16 0.14 0.084
2 1.00 0.18 . 0.108
3 0.84 0.22' 0.132
4 0.69 0.27 0.162
5 0.46 0.37 0.222
6 0.31 1.95 1.168
-:__--_--:------
Table 3.3 Downwash values forSections 7-14
---: :--= --__-
Section
XI
th
1, (1- dd )
ckJ
drr
---_---_ -~_-_- --_-
7 0.124 0.062 -0.928
8 0.373 0.187 -0.813
9 0.560 0.280 -0.720
10 0.684 0.342 -0.658
11 0.809 0.404 -0.596
12 0.933 0.467 . ~0.533
13 1.058 0.529 -0.471
14 1.166 0.583 -0.417
--:=:==:=: ::=:-r----=:=== __~~
STATIC STABILITY AND CONTROL
For sections 7-14 (Table 3.3), we have from Eq. (3.10)
' (l+dd )=1, (1-;1 )
or
With de]da - 0.5,
d6u xi
d =1, (1-;1 ) -1
dd =0.51,-1
da
The calculated values of deu/dct are presented in Table 3.3.
Next, we have to evaluate the integral in Eq. (3.7). We assume
f,"b;(1+aa )dx=Eb3..(1+a ):AXr
237
where N is the number of body sections. In this case, N -. 14. Using Table 3.4,
the sum is evaluated as follows.
t- b;.: (1 + -,. )/ Axi = 8.0114 fl13
Table 3.4 Evaluation ofthe fuselageintegral
-_- rr: -,
Section b;,m2( :.)x,, ,(.:)X,IT13
1
2
0.0423
0.2764
0.6161
1.0428
1.5050
1.6386
1.6386
1.5050
1.1543
0.9366
0.7154
0.3902
0.1510
0.0168
1.084
1.108
1*132
1.162
1.222
2.168
0.062
0.187
0.280
0.342
0.404
0.467
0.529
0.583
0.6149
0.5334
0.5334
0.5334
1.0668
1.0668
1.0668
1.0668
0.5334
0.5334
0.3334
0.5334
0.5334
0*3970
0.0282
0.1633
0.3720
0.6464
1.9620
3.7897
0.1084
0.3002
0.1724
0.1708
0.1541
0.0972
0.0426
0.0039
3
4
5
6
7
8
9
10
11
12
13
14
238 PERFORMANCE, STABILITY, DYNAMICS, AND CONTROL
Then,
Cmcr.f = 2S [,"bf (1+ aa )dx
= 2S tb;.,(l+aa ):Ax,
1C
= 2~25-.76-. / 30~5-. . 7)8.0114
- 0.0028/deg
Example 32
Consider the generic tailless vehicle shown in Fig. 3.58/ We will be using this
vehicle as an example to illustrate the application of the methods of estimat-
ing stability and control characteristics discussed in this text. We will evaluate
the longitudinal stability parameters here. In Section 3 5, we will obtain the di-
rectional stability and, in Section 3.6, the lateral stability characteristics for this
configuration.
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