NASA Contractor - NTRS

NASA

Contractor

Report

177943,

Volume [I

D

ANALYSIS OF FLEXIBLE AIRCRAFT LONGITUDINAL DYNAMICSANDHANDLINGQUALITIES VOLUMEII

Martin

DATA

R. Waszak and David K. Schmidt

(NASA-C_-I77943-Vol-2} ANALYSi3 OF FLEXIBLB AIRCHAFT LONGITUDINAL DYNAMICS AND HANDLING QUALITITS, VOLU._E 2 : DATA (Purdue Univ, ) 243 p HC &II/MF &01 CSCL _,IC

N85-352_13

_3/[8

Unclas 22275

PURDUEUNIVERSITY !Vest Lafayette, Indiana

Grant NAGI-254 June 1985

_"__"3

,_

i

NationalAeronauticsand Space Administration

:"! j •

LangleyResearchCenter Hampton,VPrgJnJa 23665

_.

ANALYSIS OF FLEXIBLE AIRCRAFT LONGITUDINAL DYNAMICS AND IIANDI.ING QUALITIES w

VOLUME II - DATA

Martin R. Waszak " David K Schmidt "

School of Aeronaulics and Astronautics Purdue University West Lafayette, IN

June 1985

* Graduate Student ** Professor

"

;4

ACK NOWLEDGMENTS

This research was supported by the NASA l,angley Research Center under gran', number NAG-I-25-t. Thanks go to Mr. William Grantham and Mr. Jerry Elliot who have served as technical monitors. Addflional thanks go to J.B. Davidson and F.A. Leban for advice and assistance which aided this research.

i

.°°

111

TABLE OF CONTENTS

Page

LIST OF TABLES ...........................................................................................

v

IAST OF FIGURES ........................................................................................

vi

LIST OF S'_%,1BOLS......................................................................................

ix

SUMMAI_ Y....................................................................................................

xii

VOL[JME I CtL_I'TER

" I I INTRODUCT.ON .....................................................................

1

CIL'O'TEIt II BACKGROUND .....................................................................

3

CItAPTER IIl EXPERIMENTAL DATA BASE ..........................................

10

CHAPTER IV OPEN-LOOP MODAl. ANALYSIS .....................................

19

Modal Analysis .......................................................................................... Vehicle Model ............................................................................................ Application to Data Base Configurations .................................................. Numerical Results ..................................................................................... CttAPTEP

V CLOSED-LOOP ANALYSIS ................................................

NeaI-Smith/Bacon Methodology ............................................................... Extension of Neal-Smith/Bacon Methodology ........................................... Application of the NeaI-Smith/Bacon Analysis to the Data Base Configurations .............................................................. Numerical Results ..................................................................................... CHAPTER

VI

CONCLUSIONS

...................................................................

LIST OF REFERENCES ..............................................................................

PRECEDING PAGE BLANK NOT FILMED

19 24 28 32 52 52 61 68 76 85

"

87

_

iY

Page APPENDICES Appendix A.I Scaling Transformation for Mode Identification .........................................................................

89

Appendix A.2 nz in Terms of Vehicle States ............................................

92

VOLUME II Appendix A.3 Vehicle Configurations and Modal Analysis Results ..................................................................

96

Configuration 1 .................................................................................... Configuration 2 .................................................................................... Configuration 3 .................................................................................... Con figurat.,ion 4 .................................................................................... Configuration 5 .................................................................................... Configuration 6 .................................................................................... Configuration 7 .................................................................................... Configuration 8 ....................................................................................

100 11g 137 155 173 19I 209 227

Appendix A.4 Aeroelastic-Structural Appendix A.50CM

Mode Shapes ................................

Frequency Responses .............................................

Append!x A.6 Listing of Source Code for Modal Analysis Program ...............................................................

2,15 251

28!

LIST OF TABLES

Table

6

Page

3.1

Summary of Data Base Configurations ................................................

12

3.2

Summary of Tracking Error, Pilot Rating and Pilot Comments ...................................................................................

14

4.1

Summary of Navion Longitudinal Dynamics .......................................

23

5.1

Comparison of Resonance Peak and SP Values ..................................

67

5.2

Summary of Closed-Loop Analysis Inputs ...........................................

75

5.3

Summary of Closed-Loop Analysis of Data Base Configurations ....................................................................

82

vi

LIST OF FIGURES t

Figure

Pal_e

2.1

Pole-Zero Plot of Typical Flexible Aircraft ............................................

4

2.2

Pole-Zero Plot, of Simple Example ..........................................................

5

3.1

Geometry of Dala Base Configurations .................................................

il

3.2

Rigid and Elastic Pitch Angles .............................................................

13

3.3

Simulation Visual Display .....................................................................

15

3.4

Simulation Tracking Errors ..................................................................

16

3.5

Simulation Pilot Ratings ......................................................................

17

4.1

Rigid and Elasiic Pitch Angles .............................................................

30

4.2

Pilot Impulse Residue Magnitudes-

qonfig. 1......................................

33

4.3

I'ilot l_mpulse Residue Magnitudes - Config. 2 ......................................

3,1

4.4

Pilot Impulse Residue Magnitudes - Config. 3 ......................................

35

4.5

Pilot hnpulse Residue Magnitudes-

Config. 4 ......................................

36

4.6


Config. 5 ......................................

37

4.7


Config. O.....................................

38

4.8


Config. 7 ......................................

39

4.9


Config. 8 ......................................

40

\

vii

Figure

Page

4.10

Gust Impulse Residue Magnitudes - Config. 1 .....................................

43

4.11


44

4.12


45

4.13

Gust Impulse Residue Magnitudes - Config. 4 ....................................

46

4.14


47

4.15


48

4.16


40

417

Gust Impulse Residue Magnitudes - Coufig. 8 .....................................

50

5.1

Neal-Smith Model Structure .................................................................

54

5.2

Frequency Response Specifications .......................................................

55

5.3

Neal-Smith Criteria ..............................................................................

57

5.4

OCM Block Diagram ............................................................................

50

5.5

Resonance Peak Adjustment ................................................................

62

5.0

Neal-Smith/Bacon

Pilot Compensation ................................................

63

5.7

Neal-Smith/Bacon

Criteria ...................................................................

64

5.8

Pilot Rating ve:sus Bandwidth for Neal-Smith/Bacon Configurations ........................................................

65

5.9

SP versus PC for Neal-Smith Configurations .......................................

6g

_:

5.10

Dynamics of Neal-Smith Configurations ..............................................

70

_

5.11

Dynamics of Flexible Configurations ....................................................

71

:_

5.12

Block Diagram of Tracking Analysis ....................................................

74 ',%

,,,

VIII

Figure

Page

5.13

Example: OCM Frequency Response - Config. 8 .................................

77

5.14

PR versus BW for Data Base Configurations ......................................

81

5.15

SP versus PC for Data Base Configurations ........................................

83

Appendix Figure

l ! ;

A.4.1 Mode Shape Sign Conventions ..........................................................

246

A.4.2 Aeroelastic-Structural Mode Shape - Mode I.....................................

247

A.4,3 Aeroelastic-Structural Mode Shape - Mode 2.....................................

248

A.4.4 Aeroelastic-Struetural Mode Shape - Mode 3 .....................................

2.19

?,.4.5 Aeroelastic-Structural Mode Shape - Mode 4 .....................................

250

A.5.10CM

Frequency Responses - Config. 1..............................................

252

A.5.20CM

Frequency Respc,nses- Config. 2 ..............................................

256

A.5.30CM

Frequency Responses - Config. 3 ..............................................

260

A.5.40CM

Fr_.queney Responses - Config. 4 ..............................................

264

A.5.5 OCM Frequency Responses - Config. 5 ..............................................

268

A.5.60CM

272

Frequency Responses - Config. 6..............................................

,

#L

A.5.7 OCM Frequency Responses - Config. 7 ..............................................

276

A.5.80CM

280

Frequency Responses - Config. 8 ..............................................

ix

LIST OF SYMBOLS

Symbol

•

4

Meaning

A(.) .....................................

plant matrices

B(} ..................................... B ....................................... BW ................................... C ........................................ (_ .......................................

control matrices modal controllability matrix bandwidth frequency output matrix (for states) modal observability matrix

DI.) ..................................... D ....................................... E ........................................ F ........................................

disturbance matrices modal disturbability matrix output matrix (forcontrols) output matrix (for disturbances)

G(.) ..................................... G(s) .................................... It(s) ....................................

control matrices plant transfer functions pilot transfer function

Jp ....................................... Kp ...................................... Kx ....................................

pilot objective functional pilot gain (feedforward) optimal control gains

AK ..................................... OCM .................................. PC ...................................... Q ........................................

incremental change in pilot gain Kp Optimal Control Model of the pilot pilot compensat ion wcighling matrix for output vector

Ji'l.) ..................................... SP ...................................... T ........................................

impulse residue sensilivity parameler modal matrix

VI.I......................................

in'.-.nsity of white noise (.)

g .........................................

weighting ¢_,:_ pilot input rate {tip}

Ix ........................................

distance from e.g. to pilot station

\

Symbol

Meaving

n z......................................

plunge acceleration

Pl) ...................................... it ........................................

pole of a transfer function modal state vector

r ......................................... u ....................................... i! .........................................

weighting on pilot input (up) perturbed forward velocity ([t/sec) input vector

v m......................................

motor noise

vy ....................................... w ......................................

obser,, ation noise Gaussian white noise

w ........................................

disturbance

x ......................................... _. .......................................

state vector state estimate

E ........................................

output

z() .......................................

zero of a transfer

_(.) .................................... .......................................

phase of impulse residue, R(.) angle of attack, (rad)

......................................

(g's)

vector vector

vector function

flight path angle, (rad)

b(.)...................................... ......................................... _"..........................................

control surface deflection attitude tracking error (0-0c) damping ratio

q .........................................

generalized

0_)...................................

attitude

),(.) .....................................

eigenvalue

vl. ) ................................... _"..........................

eigenvector damping ratio

a .......................... r ...................

real part ,,f eigenvalue. time delay. (see)

rn................................

neur,,-m, qor lag. Feel

o j .................................. 0'1) ................................. ._...............................

mode shape, Ift) mode slope, (ft/ft) imaginary part of eigenvalue.

deflection,

(dimensionless)

angle, (tad)

3,

X

xi

Symbol

Meaning operations

E{'} ....................................

expected value operator

]'1 .................................... [':'J....................................... l (-) .................................... (:) .......................................

magnitude of (.) complex conjugate of (-) phase angle of (.) time derivative of (.)

subscripts C ........................................

commanded

R .......................................

rigid-body

T ....................................... g ......................................... p ........................................ v. ........................................

total [rigid-body + elastic) gust pilot vehicle

y. ...................................

output or measurement

xi _

SU_4ARY

b

As aircraft become larger and lighter due to design requirements for increased payload and improved fuel efficiency, they may also become much more fl_,xible. For highly flexible vehicles, the handling qualities may not be accurat_,ly predicted by conventional methods. This study applies two allalysis methods to a family of flexible aircraft in order to investigate how and when str,et_lral (_pecially dynamic aeroelastic} effects affect the ,;ynamic characteristi

_

_dddg_

d3g3_gd

>

O0 II WW

h. o,,

3oggmo_ 0

0

W

_

I W

4 ,

157

,!

I

4

00

O0_Q

WW

WW_tW

•

0

•

_

_

_

_

W

•

oooo

b{

! W !

I

J

i

159

O0 WW

0000 WWWW

W_

_o_o

d_ddgddd_ I

I

I

i

I

ww_

w w

....

III

WW_II_ I

W

II _ 0 I

I_ + o_ W o _

IIII WWWW

_4_gg2gd&_,4&

00_ I@1

e$1e

II

II

WW I

I

I

I

............ II

I

gg_gddgdd_g

^I

+ W

WW

I

_

o_o_o

_ddddd_4_

WWWW

_ddggddd_

00_ O0 WWWWW

M_

II

I WW

_00 WW

_ 0 I

•

_

O_ II

ww •

@1 _

0 0

II _' 0_

_

_W_

^

le

_

I

I

I

II

II

=

1

1.

160

W

W

dgdd_d_ I

I

II

N _

oo

W

W

WW

0

O_

!

WW

WW

_ 0

00 oo

0_ O_

ggddd_g

W

|l

W

_g_gdg_ W

*I

dgggg2g !

W

g_g_g

x

ggggg_

o

gggg_g_ !

M

È

WW

WW

ddddd_d II

_W

0

o

m

W

W_

_

W_

WWWW

o

_

X

_

_

0

o I I UO

i

I

_

o_ I

I

II o _

i |

,i

L.

161

_W i+

WWWW +@

dddgdggdddd£2_

I

| W

II WW

ddggdgdddddddgd I I WWW

ddd2_dggdg_A2_ I t'J

W

dd_d_d_dgd_d III _W I

W

I

W_I

|11

>

_gd_dg_gd_d III

WW

_oodgdgodd_o il

_111! WWWWW

II WW

W

I

II

WW_W

gdd4_dddd_d_-;_ II _W_W _1_1

III

WW_IId

W_ l

W

II

WId

W_tdW I_

II

B

Ill

|I!

II

ìLt

WWW_

I

II

g_d_d_gddg22d_ WW

dg_g_dd_g_g_ It

I

W_W

I

#

162

B

_ _ _

_+

W

W_

WW

_0_00OO0

o

o_

o

M

_

_MM_OOOOO

0

OM

0

_

O_

_G_ooooo

!

_

0

0

........

0

_

0 0

ogddoo_

"

"_" O_ O_

M 0

oood2&_

ooooo

° '

_' -

o

'

u

v

i

o oo ..............

gdg_g_g

°

googd_d .........

_

-

_ooooo-

00_ooo0o

O0

_ M _

>

00000_0000 I@ Wt_61_WWWWWW

_S "'"' l I

i I

_M_

I 77 I;_ I I

-_oo °°°°°

o_

d__doog

_

_

o

-

-

"_

°

°

oooo?o g

1

1

_

_0000

*''_'

oooooooooo

I I _

*°''''°'''

_i 1

.......... _°__" i,,,,

1

_

,i,_

163

+

Illlllllllll WWWWWWWWWWWW

iillllilllll WWWWbJWWWWWWU

|111;1111111

I,IIIII1,11;

_W_W_WW_W_

IIIIIIIIli

WWW_WWI_JWWWW

__¢_

W_WW_W_I

_M_OMO_

_v_vvv

_M_'_O_

vv_v

IIIIIII11111 _W_W__W

I

v_v

IIIIIIIIIIII WWWWWL,

I

I

I

I

I

J_WW_JW

I

I

I

I

I

oooooooooooo _,,_,,,,,

oooooo+oo+oo ,,,,,,,,,,,,

ooooooo,+oo ,_,,,,,,,

_W_W|_Wt_I_

W_&_IdWWWW_blLdt_

WW_J

_tdt_bl

II1111111111111

Ii

ooo_++m_mmr+m+_m

ood_d_2£_2+_+

M_M_MM__

¢_'_3M@_

IIIIIIIIIIII

IIIIIIIIIIII

I

I

I

II

I

d+gd2&_m_gm

_

I

_M_M__ IIIIIIIIII

I

IIIIIIIIIIII

bJ L+JW _{_I_

I

II

I

I

IIIIIIIIIIII

I

I

I

IIIIII_111

lSee_$le$leleil

_,,,

,,,,

I I I I I I l WWW_WW_|_IL_IW_IW

"''___;

II

I

I

,,,, I

I

II

I

I

,

I I l I I I I _LdWtdWWW_L,JO_W

II

_II

"''_,0__,_

llllllllllll

II

, I

I

I

I

I

,,,,, I

I

I I I I I W_hi_bJbl_l_W

"''___

llllllll,ll,

vvvvvvv+vvvvvvv

I

II

I

_

++_ IIII

_++++

I

l

II

I

II

I

I

I

I

o

II

lll,lllll, WW_L+I,J_IL.I_ILIW

m

I

,

v+v+

I

I

I

I

l 3F

I _

III

OOO000QOOOM_'I

_ X_ _

_rJ_J_I_IWWWWW_

__MM_M_ I

II

I

OgQOO(_3gO0000 III1 W(_W_WWWWWI_W[dhJ

_QOOQOOOQOOOO IIIJllllll|_l _b_WI_WI_I_WWW_W

_O0_MMM_ I

I

I

tll

I

O00000OOOO00O IIIIIII1 W_JWW_I_|_IW_Ld_JW

|

II

IIIIIIII

I

_ II

I

I

OOOO0_OOO0000

3-, _ _

_WIQWW_I_ILd_ISJWbJ_I

II

II

II

III _3

•

'_70

ORIGI'_AI-PAGE ;$ OF POOR QUALITY

O000_O0000000 WW_WWWWWWWW

£_3_dg23_M2_Jdg II

t

I

I

I

I

IIIIIIIIIllll WWWWWWWW_WWWW

00000000000_ _W_WWWW_WW

O00000000,_O_J + _WWWW_WW_WW_I_

___

__oo_M_

___ooo II

I

I

MM_._MM_ II

I

I

0o00000000o00

MM__MM_

_r-r___

_d_gddd_d_d3

d_d_d22_3_dd

00oooooo0oooo

00ooooooo00_

_W_I_WbJWWWWWW_ __MMO00

_WWWWWWb_W_W_d -_O0_MMO_

!

!

!

!

!

I!

i!

!

IIIIIIIIIIIII _WWWW_bJ_W_

I|11 MWbJtdWW_WI_WIdI_J

dd_£ddddd_gd

_22_dd_z_2_dd

0_000000,_0_00

O0000OO000_O0

_WW_,IWIdWbl

!

_-_OC II

OOOO000000000

!

¢

+

I

I

IWWbJW

I

I

III

_W_IL,

I

I_W_I_J_WW_J

I

II

_0000000_000

000_00_000000

_IWIdl_lWblbJtdWldtdW

WbIWW,_I_WWWWWIelW

____

_-_-__o

_M_i_O_M_

_M__o_M_

h!

I

I

171

OO_OOOQOOoMM IIIIIIIIIIII WWWWWWWWWWWW _MM__N tm.iIelgol,e°°° I

I

I

II

___'_& _Q_OOQOQO0

O0 II WW

IIIIIIIIIIII WWW_WWWWWWWW

_dGdA_ZZZdgd4 II

I

I

___

___,_

IIIIIIIIIIII WWWWWW[_WbJ_][lJW

IIIIIIIIII11 WWWW

MMMM_oQMM_

MM_C_MOO_

&4Md444dd&d2d_g I I II

I

II

............... I I

|

oooooooooooo IIIIIIIIIIII _WW_WW_WNWIdW

oo ii ¶dW

Iiiiiiii

I

W

I

,i

I

W_[,J

I

t_J td el

IIII

,i

_44_JJ_Jddg I I II

_--4OO_OO_O_ IIIIIIitl '[_W_hI_W'_JW

I

II

OO II WW

I

I

l

OO II Ebl

II

IIII

OOOOOOO000M_ IIIIIlllllll _WWWWWW_W_W

dggg_4_d_d_dg , ,, , ,,

_4_44ddgg_gdg , , ,, ,

OO_OOO30OOO IIIIIIIIIIII WbJbJ_II_WWIJWWWh)

OO II WW

I

I

O_O00OOOOOO¢3 IIIIIIIIIIII WWWW_WWbJWWW[lJ

O0_OOOOOO_ IIIIIIIIIIII WWWWWWWW_W_

IIIIIII1_1

oo ++ W_I

IIIIIIIIIIII _L_WWWW[tJWUWW

;_J4444J_2dgd I I I I

IIII

II

o,_oooooooooo IIIIIIIIIIII bJ _WLdW

IIIIIIIIII;I WWW'_WWWWWWWW

O I _b

[_W[&|WLrj5|_

I

_

_ X_ _

_I_

O00OOOOOOOOO IIIIIIIIIIII WI,JWLdWWWbJIdld_L,I

IIII

W

II

OO II _l_,J

I

_'" --_ _

I

E_

W

•

172

ORIGINAL PAGE IS POOR QUALITY

_AAAAAA_AA_AAA

O_O00OOQOQON + WWWWWW_WWWWW _OOMM_MMQC

0 + W O

iiii111t1111111

MM__MM_O_O I I I

II

___'_ IIIIIIIIIIII WWWWWWWWWWWW

II WW

MM_MM_M_

_

Iililtttllllltl

MM_

__0_

v_

_vv_

WWWt_WWWW_IWWW

W

I

I

II

W_JW_W_WWWW_ I!1111|11111

W_| II

_WblbJ_td_IWl_W IIII1|111111

W_WU|WtdW_W_UJ_

W

_W_WWWWWWWW

I!

I

l

0_000_00_0 I I I I I I I _W_WIdWWWWW_

I

I I I I I

0000000000_ _W_WWWW_W •

i

i

I

!

WIll _

+_W

II

I

I

OO I I _W

O00QOOO_O000 I I I _ I I I , I I I I W_tdWWWI_WWWW_

0 bJ

000oo._00000_ _WWWWWWW_W

tlllllllllll_ll

I

+ W

U;WW_L_WW'_W_bJL_

O0 I i _td

0 W

lllllll@lllllll

II

O0_o_O0_O0_O0 IIIIIIIIIIII _WWbI_W_I_WW_

I

II

I O_ II _t_l

I

II

O_Ù_O000ÜOO llllllllllll WWW_LdWW_J_IU_

I _0 II _IW

f I

173 ORIGINAL PAGE IS

mR

QU,M.rrY

CONFI_UR#TION 5

+,,,

+

++

OC) I I hlhJ U') I,_O tgJ ,')" W) t_l

0 0 (::_ 0 + I hlWUUJ O0 .-( O] ,_ (.O LO b3 o U')o _" h-

,-dC3 0 I I I,IW 03"4" 0")o 0_o

gZgdoJgd_SJd

I

I

I

!

0 C) C.Jr_ + _" + I LIJl.Jbl L_I h. I_ 0 ,."3 iO 0 'J10J ('IJ 'q" IT) LO

I

I

I

I

_00

0 + hl 0 0 _

I I tL.l h I (,D t"; OJ(._ U') 0")

Co 0 + L.LI 0 co o

I

I

I

I

M O I bJ o

0"I _ (") (:_0 I I bJW o_0

I

I

!

O0 I WW

I

_-_

O0 I I" W_

0 + W

0000 + + + hm_WW

X

_'._

o

M

I

I

_=ooo-_,om_

M L-) I ILl UI

I

_

I

0")O]

I

0 0 4" b.J o

!

_'lx.

l

:

l

_:)._ _ '_" C) O00 + I I l Wtd blb) _ ,-_O] o

I

!

I

I

l

0000 'l" + 'l, + bJWWI[| MOP-_O CO 0 i_ O_ M ¢"J bl E,O

v

O_ _

X

I

I

O0 l l bJW C'l('tl -_h. (,DO ,) • •

W_ _r

I

•

•

•

•

.:_

_000 I" 4" + + bJ ud I_ L_I

I" "500 "l" + 'IWWW C01_I0 _U3,_ ('_I 0 U3

"

,'-_ _ ,_ {'_') 0000 I + + I L_ bl I._'_l _ r.,n '_" t,_ r,_03 _ _,J h. h-_h. _-

I 'rJ" _")('U 000 I I I I.d t.I bJ OOO

I

0 C_ '.-_ 0 I I I I l._J ',II.LI LJ _", _4 ;"-- _$" l.,q _') rx. ,..0 ---, _ r.D h.I

0 (")('U --_00 l I l.IJ ),xl 0(%1 01r,_03

oo_ooooooooo

I_

I

I ,,,-4 C_, 4hl (_ _u CU

M

I I LulW U) c:, t"_ CO b_ 0

4_gO3dd:2_d4

! C) O I I LIJ L',J Of_l 'I_" '_ 0")03

C:)O00C_ + I l I_IW hj c:) r. o o ;" - O.j t3 O] ._

+

_: TI.:

_ 0 C) C-_ + _ I- I blbll I' I 0."?), J _0_ U', '._ -' . • • • , I

o

I O0 + I bJbl 0(.+) OLq _;'OJ

t_

I

l

j

.,

174

0 t W

0

_

WW

ii=laet

It W_

_W QM O_

II _W

_ W

+ W

M

dd_ o I W _

o +

O0

W

o.Jl,.l

o I

o

_

_o

175

i l I

I I !

..

•

i

L

i!

-t| f

,,°

I;

I

177

WW

WWW_I

d_dddgdd2_ i _

Wkl

il

I

_Q_ l+ W_I

2_ggdgg222_ _M_

W_bJIJ

_dddgdgg2_

WWWWbl

W W

I)

$

_dd_oddgg_;_

$1$1

W

W td tJ _l

II

_g_ggddddddd I I W

II

_-_

Adgdgg2gdZ4d

I

t_t bJ

I@I _WW

I

O

W

W bl*J

_dgd_gd4c;_ II I W

It _

_

II

bl

II

W_WW

l)

_dogodgd_-gJ

Œ%4(.

u

U

178

179

180 i

: •

4W

4" 4" Lm.,l h m

+ LmJ

+ bJ

I- ! blL_

0

00"_

0

(,0

O(.O

"

" " " ° ° 0 _ ,-'_0 0 ,,-_,,-¢ I

+ lad 0

+ t,l,J _J

o

I_I

°

" ° " " ° " _ ,_ C:) r'_ ,-_ 0 C,_ I I

ooo..-,oom o

U') "+

W _r _

>

:;_ ............

m I_

('kJ

O0

0

I_.

I%.

c;g,_qg ¢;gg

"

°

I

|

c)

_:)

I,d r) o

I,_ o ,-+

°

" " • 0 0 0 0 0.,-4 (_ I I

¢:)._

I/3oOtt3Lo-r,'_-,_o;

WU.I

,.'-, 0 _ 0

"J -_ 0 U'II,.,3

1-9

C:) L,1,n r_. _'j r._3._ o

_"_ G.I-I"-

.,.,.-,,., o _ +4

+++

I

0

O0

_J

O(_J

_IL

_,'

W bJ td I_J ial L_J

0 I_I 0

0,._ hl"_w C) C)

,,4

O0 WW

(_

Z_'-

t'1,10'_ ,,-_I",,.t'_ 0 I 0 0 (.0 I_. ,,.-_rl

o.-,o .... oo

,_

++ ' " ' '

Ld hmLLi L iblUi --4 (JOdl I_. P. (_

g,:;_;c;g _

I

c;¢;,:;g g.: _

'"

I I

U_ e_

0 ,,_ ('_J--4 0 (_ ,':J 0 0

+

4" W

4, W

+" bJ

4" bJ

0 U

I-I'V _

/%. _J

0 01

0 U_

_ 0

0'1 01

_

n

pl I_. _1U O_ .-4i (+.)¢._ "t ¢") (_,1 01, i.,j J C, ,-'J _-j ,,o

_ I--

_

_,_-:-;_ I I I I

,u

, "+ l_J P1 "J' IJ'l (.0 r_.

I--

1-1%

+ I bj tjJ C31%.

I"

I

..-I C_ ...q'_ _ ,"U . * - 4 - .q I +4-.I. I 4. I I I W hJ Li Ld I_' 'J LI ltJ hJ

0') M 0 I,_ C_,(_ o ,._ o

.......

I

"

_-

+ I,I 0

_,_,:;,_;

I ('I

+ _ 0

"

(J'l(_ 7-

P_.

I W '*'_

W

_ddddd.-;

_Cl fU

0 0

ddddd.-;..; I O o O0

0£ 4_

I

oOJ

•

_3

o 0

•

._.

I

I

'-,

> m .-4 0

OJ ..4

,_ I

_

I_I

W•P

1¢I

5J

I,_

I_I

W .J

0 o

¢'U OJ

0 o

0'_ t_

W .A

l C.}

I=-

gdd . :dg_ I

_dd.;_4

I

!

u ¢. I ¢_

i--

t%lO 0 0¢)

_-4,-_ ._ _j OcO00

I I

_oddgdooogd ....

I I I

lg7

ORIGINAL PAGE IS

Poor qUALm(

OQ

000_

WW

Wwww

_

_U_M

ddgg_ggdddg_

!

I W

II WW

+Jill WWLdW_|

I

I

I+1 WWW _

I

I W _

W _

II WW _

ddd_ddddddd_:d III Q_ I WW O_

0 W 0

I 000 ++1 W_W

III 000 _tdW +$+

>

OQO0 +1+1 WWWI_ _U)_

_

OO I Wbl _

0000 +_+t WWbJllJ

_

O0 II WW

_

O0 WW

_

•

I

000_ IIII WWL_W

II

O00O WWWW

O0

0000

WW

WWWW

II O0

II

.

tteeee•e

000o

Oo

_gd=dS_ddd_dd I_

II 0 @ _

I

II 0

L,I

6dd2_gddgdd_2g_

me•el

I

0000 I+_1 W bird _

III

O0

_ E

II

I

gdd:_ddggdd:_d_

l

W 0

III

WW

,|

_

............... II

Ill

OOQO ++ _WW'd

III

W_J_IIJ _u_

dg,g;dggdg2d_ II

gdd_d_ddddg_ t

W 0

II

I

I

0000

dd,_(dgSdgddd_d_ II

I

II

I

I

108

ORIGINAL PAGEIS

Qugrry

0

O_

0 _

0 O0 .............. +

00_00_

_

__

O_ _

_3_3_

OQO0_O_

+

0

+ W

W

W

_

0

_

....... W

oddddom

_dddddd

OQQQOQQ_QQ I L_bJW Wldld

U\

_-O)_O'O

_

_o_oo_oo

_

_O_O0000

L_ WIIJW _}

I

I

I W_ O_

_g_ I

> =

0 0

_ E_

I

I

I

W

_

_

dodd-o_ . ,

o-o_oo

0_0oo U _ _N _F-

000_

_

oodoo3_ _,

¢ .

WW_IbJ __ m_

.

,

.

.

>

ooooo ++,+, _WWhlW

_

__

0

.

.

_dddg_

_eeese U

I

I

IH

U

III

IIII

.

0

.

199

1

I 7

0

0

'_I" M CO 'J_f',C"')7 CLIC'3C_I("].-_ 0 O 0 ,'-J 0 ,::) ,-J0 0 0 O ,-J, I I I I I I I I I I I I

M (%1LD M ('I.I ("}('UL.9,-',{_.I -_ L_. C:,0 ,--J ,3 O 0 0 0 O 0 C, r-J I I I I I I I I I I I I

W WW O_ U')El N _I _J M_M

laJ W W W W W LLI m W'.Li _ W U') (%1o ":I" (.D0.,,I M _ O0 o.rl_)LI] IJ:lo {IJ('tJ LCII_ h. ("}M (_IM 0 M o I% O0 _ 0 _. _. o Ql1LO L_

_' -='i --_--_l$"J "'__ I I I

I W

•

Ld W W W W U*IU'I _" OLD M _ I"}M _ _- U_I_ _- _

•

•

I W

W W,.LJUJ O'lO0 (.DLD I_I ¢ M I.q M _LO

{_ .'_E) I71_" M I I I

(.,D .,-_ Irtl U'I0'I{'i.J

I I I I I I I I I I W I.__J LJ _LJL_ W _ _ IJJ

_J ['UL_ L_ _. _ _ LO M -4r_ ,"u • • • • • • • • • • • • I

l

•I*M _, 0 I I I._ I' I El I.rl

I

I

I

ddd-:-:-:_;-:Z_;_d_,_ I I I I

I

I

(_OOOOOOOOOO0 I I I i I I I I I I I I W _J LI.J W bl W I_IW [i.l W {'I I_I 0 ,_J I% 0 _") 1".. ('LJ ,,_ ('U '_" i%. M (,,0 L 11_ ,,-"l _.,._0 ("1 _"LILP ,"-_"J" I',,,.

I

I

I

I

I

M

Q •

OJ ('UD- _u [00_ • • • •

(3 _, _, C:)C) _, 0

M Q

_U LD C_ ,_ ,C3_, I I I I W W W W U') (_J o _r

q_ L_IL/,U I • •

•

•

•

LC_-_ ,_J *-_L_ ,._, ,'-J ,C30 ,'-J I I I I I L:J _J ',ltd L_J %- G_ -7 ul La

dgdd-:_Jd_;d2o;:_,_.;d I I I I i I I I

I

I

I

--_

ddgggg

00000000,3000 I I I I I I I I I I I I laJW W W W W IJ hl hl W ;_JI_I E) 0 .--,_0 rn o m Lr) L,b d'l .,._ G_ _r _1- _I LO (,D i.fl I_- ,.,-_,2" ('u ft.. oo

-'g_; _;J dg

OOOOr3OO_ Or..) I I I I I I I I I I I.It.jhl I_I._JW h| illL_I_LI M CU U1 _1LO ..--_M LL1 (_ '=._ _ O_ _. -_ C_ _l PI O_ _10_

I

I

I I I I ! I I I I I I I I_IL_IW W L_I_J.l W L.J'J W W tJ _ I_ "_ _ ,_, trl .rT1M I". LT'I _J U1 (JD 0 .--_ -- -_r o 0 o -, (_j -I- C_

(:::, ,L'3 ,0 ,C3

(.0 C1J(._ LD ,"1 -.r u'l c_J -_- LD • • • • • • • • • • I

?J M fU ,'3c-JC) I I I W LLJbJ .'n ru r3

C3 0

I I I I I I I I I I _J LIJ W W I_| LI.J W L_J I:J _1

I

I

I I I I I I I I I I I I l_JbJ '_JW bJ LJ W b.lW W I_IW M c., @1 ('l.I _ Q'I I',. LD (.D LO LD LO I,_ r,,j Lrl (_1 r_j _,_ 0") O0 M _'T _J M

_ I

}'

I I I I I I I I I I I I W W W LL| W I,J L.I lJ_l I_1 ILl L,] hJ

I

I_Oi_ M ,_') T _ M I'_J M *-_ ,"J,_,,_,C, ,.._ ,--J C3 Q ,..'-) 0 I I I I I I I I I ; L_I LIJ I.JJ LL_LI J I.' JI.-_JW W L_J 0"1L/} LFI "T _._ (n 0"1 r._}(.L_,J_

{J_,_J I I I

,,

I

I

I

I I I I I I I I I I I_IW b.lL;J_| ',JI._ L_IL_IL_I _r LO _. (,io {.3 -_ M _r o CO _ U*_ (9 M O 0 _'_, _ I,'1

Goo2_..:G2GCd.4.4._G dodG-_-:d_'J.-:_.G-:u-;d_,_#(G.-:_-',_'d.:Gd,_; I I I I I I I I I I I I I I I I I I I I • " "F_,_F_(4,A_C,.:,-;." " "_G_,;_G,_,._,;_F_C,_ " " "C,C,{G_G-'.{G.',IA_ E _'JOOOO_._ OOOOOOOOO.-._OO OOOQOOOOOC),-_O _O0 I I I I I I I I I I I I _ l._J W I_IU.I I_IW laJl.i.l W W I_I

I I I I I I I I I I I I _J lalW _l L_IW 'J i_JW IJI l,Jb.l

I I I I I I I I I I I_II_.I I,IW l.IJ I_I W W I_I W

I',-I/1

Ggd_;_.d,C.-:_..:(G_;-:M GGd.-:_C.-:..;Mm.,,,'_C_G_ GGd_,;-:{;d..:.:(GG.-: I

I

I

I

I

I

I

I

I

I

I

I

I

I

I

I

I

I

el ,; F

_'I _ _.,

_r _w I_ _r _I I_lM U'I_I *_ ._ _I" _ 0 ej _ P.) C:) i_ _ 0 r..) ,3 0 I I I I I I I I I I I I I.IW W i.l.l W W _I W W W i_.l W

x '

•

_

m _ m o m.,,e'i _rf.n I

I

I

I

I_ I/') U'I O0 _r II.1

F

mo-,-,_

.

I

I

t

I

I

'_r _

I

I

I

I

I I I I I I I I I I I I lal.I I,,1.1W W W W W I.e.,I_ I t._Jt,.I I.e.I

ff_ _0 _D Ol ixI

I

o I

I

I

.._ ,-,0,I--_--,fW -, W'I-, I'U _ ,.._ C) ¢:) 0 0 ,,3 C:) 0 C.) I I I I I I I I I I 1.611: Ih IW W I_II_I IH i_l ,I

oo o.-.,_ _ m

" " ",_,_4,;_(4u_.:.:_r " " ",_,;(_F,_,$_F_.:_ (_ 0 0 ¢:) '_-') _l ¢_ O 0 0 ,':) 0 _ I_ I=) O _ 0 O _ _') O Q (::) I I I I I I I I I I I I _l.I W W _l,J ee,.Il.a,I I._l la I I, mtd L, I I,aJ

I

M -_ :."I OJ 0.I _:" ._I tO -_ _I *, U"I _ 0 (:3, _ 0 0 c-j 0 c'j 0 0 0 I I I I I I I I I I I I hl W W _i.l I_II_II_Ihl W i_lW hl

I

_i 00 _i o I

I

I

I

I

I

I

I

" " "_.-:(G_C,_-:,;_ _ I_ (:) C) C:l r'J 0 C.) O '-J I I I I I W Lll W W W

I I I I I tJl I_J I_l I_1 t I

I/'l o

_B -,

I

I

c0 U_. o I

I

PJ 1.0 U'l I

•

200

l a. _o

o_ 11 WLJ

.

M_ .i II

I

dd

I t I

ogg,gdgdo_oooood •

II WLJ

II

a..o... IIIIIIIIIIIIII W_J|,J[d_IW_6J_IdW[dWW

II!

!

III

|!

_II

7"2 dd

dddg_.:g,gdddgdddd

II W_

e.

llllltlllllll WWWId

WLd_L_J

_WLIJ_

=.$.se.ee.eete. I.

IIII

||

•

d_ II

-i

m-

#

1

'

dddddddddddd_dd I

IIIIIIIIIIII

-°=TmTT--_==-

I

II

? --

\ I

201

t.1 W

"_

P_v .-4 tAI

> M

mO. 1"I o

U') "'4 _"

tlJ

"'ClC., ._ ,.-4 C' ,?aO _.)C, ,-3_ M M I + k I I I I I I Id bli. Jt', t I |_.1 LJ _1 tLI G) _'-I t,] V _J" "_ "_ M "*

--W I:_ X_'] i.-_ I-_I_H

I'IUCU_;-_.--_ o -_CUCU O cJ E) C_ q_ c J (_ _J O (J ..3¢..) + 'l- + 't + + '1- $ f t. 4' + td hJ td W tsJ hi t_l lal ;.I tlJ t,.I W OOl_-l_.{%13J",JlCJOLbO

¢0 G3 L'_ 71M fU I'tJ -4 01 _, 0"11/1 u_l CJ (IJ u3 ?U 01 e_. a'! C0 :_1 "d (_

I"- :_" _I:L1

--q o --'_ Illt,_M (1J CU C, MtD C, M tj'_ M U_ U'I El _ CI0 0 O i__I_

_a O C_ ! I I I'J W hi 0_ 0"1LFI

I

I

I

I

I

I

I

I

O,.J,?'J C-_ C, , _¢-.)(_ C_ L'C) OC) I I I I I I 4" t- I I I 14,' ttJLIl'l|Jt.Jhll,'t;/I ''d'.lt_Jt,lJ tnulhI%. _ "._" U3L_ ,,, ;.,_ th tbM Mt_l{'J r_J-I. I-I-m, , ._.401 _- I- CLt(IJCtJC_J_%. I. ; "J" _._ #_ Z: 0

............... I I

.-_.-*._.,ruf_'u(_ I I I I I

4 I

,.; _.,_,.._o I I

I

I

I

I

I

•

I

_ ,o t--|: H_. JC} HI. IZ_

OOOC3_._O,:_L: t'.,,,_ I I I I 4"4," F I- I I tolUtdlJII liJJl_l; ::Jh; I% I_. U1 Ijr) UI U') I_. r- 01 ,JI U1U"I M (") ,3 _7' CU ('IJ ("l ("1 Oc:,rlMlMrkltTJ.qIU3u.uO,rU1

C._ O0 I I 41" LIL, ILI.I L0 L_ M -_ - I 0"l

¢" J:) 0 It

0;ff ; -'_- :,;_;_d_d

-'_-

.-_ I'lJ M

"_ I_.1 ('1 _" _1

:;d tl

"

¢)

"

1-:3 -* (_J M

_l W') U* f-

"_ ulC'

*" P.'M

"1" IR

Z'O U

I"

%" U'_ U) I_. 00010

I

•

i #

'

2O2

W D

m_

IIIIIIIIIIII W W LJ til W _1 W _

W

I

I

I

OOOQOQOQOOOO ||lllllll|ll

I

X3 _

L'I L*J W 'JJ

I

f+fff++¥f+fl WW_WWbIWWWLJ_tl

I O0 I@

_** t-_

I

I

OOQOOQOO_L_O IIIIIIIIIIII

I

I

_0 If

\ t

203

IIIIII WWWW_WW _M_ _M_MWI_

WWL_WWWW _I_ _OOMO_

eeaoe,_

$,,,$Do

I

I

I||||Ill

IIIIII@ I

_i_M_ IIIIII_

_00_0_) lllll

II

II

I

IIIIIIII

• II

i

till

_I|

ill

I

I

IIIII1I

I1=1

I

I

0_00o_0

_000_o

000000o

&I_W_W_W

_I_W_J_I_

_WWW'JL,

4_d_4# I

_2_:_&X4

I

I

&&_&&4& IIIIIIf

I

OOO0OOQ IIIlll{

I

I

4&4&.:4g

I

I

&&4&4.tg

I

I

I

I

W

I

II

III

II

I

4&4444; ooooooo

wwwwwww m

wwww_,,ww

wuwwwww

III

II

_&

X_

4&&&44; ooooooo

I

II

O0ooooo

_g4&44o ooooooo

III

2

{11111

Ill

I

dg33Jdd

I

4&434;o

Oo_,_ooo IIIll{T

IIL

II

II

IL_J

4g&_A-:_ _

IIIII1+

Ill

II

I

I

4&_4d_ ooooooo

ww_,ww_,w II

•

II

I

_

I W_

!

!

_

t

•

i

204

q" 0.1 .-, --_ o, ._ .-* --, 4. W W 511.ILd i'%1-r 0") .-, ¢0 C, --_ M COr. I,,-U3.':-.7,.._IrU

0

• 4c.JW b3 _ h- 1/3

.-_ '_ -'_ _,'_,_ .-_ I_ I I

0.I -* ,"U 3J ('_J_J

.-_

+4-4_- + + $ t,.J Id W rj l_ bj bd _ CJ _'3 M 0 i.- _ F-- OJL// nJ t_ CO , 01,-Jr):D,-r_-u_ ...............

I

!

0.I

,

hi (3 0 {70

LmJlul ¢30 O0 ¢z3(_

I

I I I I I I 4" W l.d_ '_JI_J6J l.d

I l I I I I._I LJ bJ bJ 'd 1J t_l

I f I I I, laJLJ L_J_._I,_'J l.d

M0_-MMb_M

03 (T; .-, rx. o-; ,_ _0

b_ b_ CUOd C'_._ f_

.......

_r_4-:-:-_

_JJt' I t" I LIJ Lt-JI_I _l.I

I

I

I

I

000(:3000 I I I I I IIlal W I.aJLd I._l bJ h I _M-_OD,_M 0")U3 U'101O0 -_ro M _ _- I'3M U) M •

I%11%1 ,_ '-_ t_ -., .._ 0 ,-._ O P'J0 0 0 + 4. + 4. $, W_ILdWtdWW --, M I'.. OJ OJ GOF-

I

LJJtaJW hJ _1L'l 'JI

0 0 0'0 I I I I W bl bl Id 00_ O) U'I G_ trlLD I% alU_ -'_ I_ •

•

tU i'U (::_ 0 4. 4. laJ b ' _ c)

I

•

.'d _ + _d 03

I

•

_, _ 0 rJ 4. 4, uJ l_l tfl t/]

•

I_ I

_o _.,_oooo I I I I I 4.

W t'l Im.J W LaJ I_.-,'qr_-tO._l_-

_ |a_ W l_lM"_ '._J I._| Id v,l_lE)

bJ _J

0 0

-$ tU .--_ CU O ---_ (gJ(_I (=_0 _."i ,_'3 ,'-J C:i0 + 4. $ 4. + + $ W hl W W bl t_.l m.l {10L/_.._ F.. _ t.q t_

I

0 o E.)o Q _._.:_ I I I I I I 4.

I%00t_MM q_'.l,.-0B

0

0 0 _..3 r3.0 0 0 + I I I I I @ hi Ld bJ bJ I.d bJ W IJ'l (13('U 1/1Q (.0 _.. C0 _" 0_ 'Q"_" _ M ;.0 03 CO0 _r U3 _r

•

--_ t_J ::30 t- + bJ ;,,J .-r u1

'

0

0 _._0 I ld t.*l Id oJ ru ,-) l'x. O001 0") M CO •

4, W

W

f_ ._ ,"-' _ --, _, _, I I I I

I

/e/$//

.......

L_I

0_,rW'$MM--_ MCOMUIU'I-'-_-.-4

I

e.

W U.lw uJ _J w w

_l'O_'i_;f_.LO-_

U'J_

, , ,,, , , ,,,

•

..-_ I%1(gJ 0,'3 4. t. Li.l l_J Oo

•

•

•

•

('U(_J O0 + $ i.mJ I_ o=,

I_l I'l IJ IJ I;I 0'le, vI-._Glt.

| d I.,IJ h I

O-,0J'_oWS, O0'lf_-rJtDMg

Ww,.,_

-

•

hi I,_J I_ I _J ..-.r,._l_l_t/]

ww

==1%=(%;.=

•

P_,o E) _",o c3 ._") I I I I I I 4.

t_/..'_ _/0 0000000

uJ w_

O000C, C) O I I I I I 14, W t_J W I_l hi LiJ bl fl _0 _- _" _;"N M (D ,.-_ 0 03 .--, M" 03 14-_ 14.GI "_ O t.m3

0 o ¢3 cJ t:)o c:_ I I 1 I I +

I_ 1%11_l-, I%1-, (%J _O000OO

:d u_,u

-'_0 A'rl _'I

O0 II WW

0000

-.00

W_WW

I

II

II WW

I

WWWW

II

II

I

WW

0oo W_ Ill

0 _I

_ _I

oo W_ II

0

_000

O0

_

_

MM_

_

_g_ggdd_g I

I|I

W

_d_2dd_d_

_0 I

ooo @++

-_ W

WW

II

IIII WW_W

II

dgdddddddddg !

I

00000 +IIII WWWWW

I

W

X

WW

0 _

WWW_

I! oooo WWWW

0000 _++¥

0

_

X

°.0.

I oo_o @

I

_ooooddd2g_ II oo

I

_ _

0_oo

I

o

_ _o

I

_

II

I

228

ORIGi.NAL_-, ,-,=,.' ....-. ,,,., OF POOR QUALITY

Iv

WW

_£dGdg_d£_ !

_

WWWW

_

_

u

_ _

_ + W

I

W

GGGGdom

230 !

A

A

m

o

u w

_ oo ww

...............

! R

'

u w o w

"'gd_''dg_g'g'"

231

QQ @ WW

_OQQ

_Q

WWWW

_ddddddd_d2 I

II

I

2_ddddd_2_J

I

II

I WW

WWWW

WW

W

_WWW

M_

_

_

_

_o_

I

II

0 MI

II

_0_ _I

O_MOO_oooooo

I@1 _WW

m _

_OQQQ +llll WWWWW

WW

0 o

_OO_O_M_

I W

! W

|1 W_

_

W_W_

_d_gg_Jg,4g_d,,

ddgdZddd_A,

O0

O0

0

0000

°o I _00

,,

III

_

0000

oo

III

I

00_0

O0 _I_

III

00_ _M_ I+

W

0000

O0

0000

WW

II

I

I

6

II

II

$

232

1985026890-150

_,

233

O0

_OQO

WW

WWW_

!

W

_

dd_gd_d_g_dd_

d_d2_gdddd2_2_

I

l+l

i

I

It

ddd_d_ddd_dd_d Ill l@

@

ddd_dd_d_d_g_ I W_W _ _M

dog_&ddgdd_,_ III

I

I

@

@1@1

I@

It

llli

I@@1

ddd_Xgd_Xgd&_gd II

III

W_W _ _ _*M

• W o o

WW _ _

'

ill

I

I!

@

I

I

I

"

It

"22g_ @_,

I

I

I

_

II

_III W_WW M_ _M_M

............. _dgdg_ l@

i

I

Gd.;_dddd_dd_dd II

...................

I

L'J'_W W W

I

I

I

W_

It

II

I

II

I

231

_ O_

0

O_

_

oo_oo_ .......

0

0 _

_

I

m

_

oooood_

I

I

0 0

_ _

I

_

,

odd_ddd

0_

I

II

_

_ _

O_ _0

_

I

I

_

W

_W

,

,

,;

_

,,

N

0_o--_0o

o0000----

o •

_

r

I

dddd2dd I

0

_

WWWWWW_uW _oM_M

"

o •

"

" •

"

mooooo-

*

o •

•

* *

dooo-o_

°*

...... I

I_

__

_

m "

_0_00_

•

_ _ U _

•

.......

>

+,++,;

_

_

*

'uw° _

_0__ III

_M_K_M_

I

III

4

r

235

-

'

_M_M__

M_M_N_

l|fll|filill WWW_WWWWWWWW

lllllllJltl! WWWWWW_WWWWW

_

__

M_

t||lllltll WWWWWWWWWW

_Q___M_

_OQ___ I

I

II

I

I

II

llllllllllll _WWWWWWWWWWW

II

lltll

III

IIIIIIIIIIII WWWWWWWWWW_W

_M_+MMM_M

IIIIIIIIII WWW_WW_WW

_M_M+M+_o_

_+_+_M-_

............... III vvvvvvv_vv

I

__4__

II

II

I

II

w_

_vv_.vvv_v__

IIIIIIIIIIII WWW_W_WWWWWt_

1111111111 WW_W_WW_WW

_M_¢¢_N_?

¢M__¢i_

_r._MO_

............

4_ I

7

III

I

I

I

I

I

IIIIIIIIIIII WWWWWWW_WWW

I

II

_

I

IIIIIIIIIIII _WW_W_WW_WW

III

I

It

"''_1_;_£_; OQ_COQ_,_OOQ

I

II

I

III

_*M*__ IIIIIIIIII W_IWW_WW_WW

It

I

IIIII

"''_£_G_ _OOOQQOQQ_O

IIIIIIIIIIII WWbJ_td_WW_WW_

II

._

M_M_M_I_

IIIIIIIIIIII _WWWWWWWWWWW

I

IIIIIII111 W_WW_W_WW

II

I_MOI

I

............................

I

IIIIIIIIIIII WWWWWWWWWWWW

III

III v_

IIIIIIIIIIII _WW_WWWWW_Whl ,

IIII

I

"'-___ O000_0OQQO

It1111111111 _W_WW_W_WW

llllllllll WI_WWWW_W_W

lemiei_$ieemiee I

II

II

IIIIII

EI_M_M_M_

,

I

II

M_M_M_,_

*_M__

|lliiltllllt _W_WW_WW_W_

IIIIIIIlllll _W_WWL_WW_W

IIIIIIIIII _WWWWLJ_W

_I_QOJ_M_I

BI*__M

MM_OO_MMI_

X

Ill

II

I

_QQQQQQQQQQQ Illlllllllll

I _M¢_N_O__

II

I

I

I

IIII QOQQQQQQQ_ IIIIIIIIII

IIIIII _M?_N_Q_M?_

•

III

_O0_QOQQQ IIIIIIIIIIit

II

IIII

I

II _M_N_O_IM

IIII

I

236

II W_ o

t

O_

II WW

oa II

II bJW

dK

_dgdGdggggddddd

II O0 It WW

O00_O000000000 IIIIIIIIIIIIII WWWWWWWIdWWWWWW

e.

Qee.e..o_o*eee.

II

III

I

III

II

_

dgd_dddgdgi

_Q II WW

d_

_dd¢:d

OOOQOOOQQOOCO IIIIIIIIIIIII WWW_LdWWWWWW_

gdg_d__ddd_d II IIII

II

_I!

dd_gddddddd_ddd

O_ II _

0 I _

QOQOQQOQOOQQ Illlllllll'l WW_WI_I_LoIW_IWDJ

_

_

___0_ I

;I

;

il

!

237

ORIGINAL PAGE IS OF, POOR QUALITY

4 { J ..........

,

,,-

9

238

'

9 W

0oo0oooooooo IIIIIIllllll WWWWWWWWWWWW

I

I

I

000000000000 llllllllllll _WW_WWW_WWbI_

I

X_ _

II

_

0oooooooooo_ ++_ WWWWWWWWWWWW

I O0 I+ W_

_,* _ _

I

I

A_G___ 0000000000_0 llllllllllll WWWWW_b/_td_

I

II

"_O0 I+ _t,J

239

OO00000 lllllll WWWWWWW

0000o00 l|lllli WWWWWWW

I

I

I

illll|l WWWWt_WW

I

IIIIIII O000000 @111111 WWWWWWW

_2d_ i

v

lllllil WWWWWWW

I

IIIII1@ WWWWW_W

I

I

I

IIIII1@ _WWWWWId

WWWW_W

IIII

_v_v_

II

+IIIII@ WWW_WWW

Illlll WWW_WWW

II

_ I

I I _v_vv_

il

0000000 IIIII1+ _WW_W_W

0000000 IIIII1+ WWWWWW_

O00000o +11111+ WWWWWWW

_M_ M__

M_M_,_O MM_oMO0

MOMM_B _*_M_]_M

_M_

I

__ I

I

O00QOOO lillll@ WW_W'WW

II

I

__M _lll

I

O00OO00 IIIII1 _WWWW_W

I

I

Illlll@ X _,

I

IIII

llllil

II v_vvvv

WWWWWWW

OOOO_OO I}1 il+ WWWWWWW

O00OO00 IIIII1+ WWWWWWW

.............. li II _v

I

0_00_00

I _vv_vv_

O000OO0

III

0000000

00oo000

_WWWWWW

_WWWWWW

I

I

II

I

II

IIIIll

II

_

Illlll+

_Me_ M__

M_M_O MM_OMO0

MOMM_B _MM_M

,

N£ _

__M I

I

0000000 I I I I WWWWWWW _0_ _M_O

=

i

,,

III

I

,

I

I _

II

000000_ I I I I WWWWWWW _OB_M __0

,

I

I

I

I 0000000 I I I I bIIdIdWWWW __ _*_M

, ,

I

,

0000000 I I I WWWWWWW _OM_O_ __M_

I N_ _0 J_

,, °, ,

°

i

240

WWWW_WW

WWWWWW_

I

.

-'

I

IIIII1@ W_W_W_ _M_

I

WWWWWWW

I

_II|III

IIII1++ WWWWWWW __0_

+11111@ W_W_W __

_vvv

_vv

++ WW_WWWW

IIII1

I

_v_

W_WW_

WWWWW_

++ _W

W

IIIII1

IIIII1+

B_M_

I

I

_WW_ +

_WWWW_

WW ++

W_

M_M_-_

__

OO

OO

I

I

I

III

llllll

III

@11111+

llllll+

$

W_WW_W

'

I

L

m

IIIII1@

_WW_WW

Ill

............

i

IIIII1+

W_I

WWW_

Im

I

I

+lllll

W_

_

$

$_IE

I

_$

i

i=,o_, $_eEO$

Q

x

$3$W_$

i

$1Ji

$ $ U$ $ $ $ • $l$$ $$i$i$ llllil

iI T

W W J

241

I I I I I I WWWWWW_WWWWW MM¢__MM_

II

I

I

I

I

I

I

II

I

I

OQOO_O_OOQ_O0 IIIIIIIIIIIII WWWWI_WWWW_WWW

IIII

III

_NN_a_MM _O0000OO0000 lillllllllll W_WW_WW_WWWW

II

_oo_o0_ OOoO0oO00O_O IIII+ WW_WWWWW_WW

ml

II

II

II

__OOMMO llllllllllll_

___MOOM llll

_JJJ_JJ_d3 IIIIIIII

MMMMM_MMMd_Jgd II

IIIIIIIIIIII _W_WW_W_W_ MM__O0_

IIIIIIIIIIII _WW_W_W_WWW 0000_00_

__O0_MM

MMMM__

I

I

I

i

I

I

s

ooooo_oooooo_ lllllllllllll WW_W_WWW_W_W

I

I

I

i

_32M_dd_2dd,J

dd_dJ3_dd3_dd

X

Ol

II

I

I

I!

oooooooooG_oo |ll|@ _WWt'_WW_WW_W

I

I

I

I

I

I

I

!

I

I

I

I

_

illilill++ _WWWWWW_WW_

WWWWW_WWW_W

X_ _

_MM_(_ MM_MMMM_

___N_ __**_

_ {_

I ! ____'" _ooooooooo0o

II

II

I I II ____'" oooo_ooooooo_

I

m

w _ 3,.

IIIIIlll

= I

_E

-___oo-------------_ I

I

I

I

I

I

I

I

I

............... I

I

.

I

I

I

Oi

I

242

_ WWWWWWW_WWWi_W *o.._eD_eeleeee II

|

|1

I

llillll|lllll WW_WW_WWW_WW

v_wv

_v

WW_I_W_WWW_WW +_+

II

_W_WW_WWW_W

II

II

000_000000000 Illl++++++ll+ WWI_WWWWWWWWWW

+@++

_WW_W_W_WWW

I

i

I

i

i

'

I

i/i/

i, i

. i

II

'

'

ooooooooooooo ,,l,,,,,,,,,, wwwwwwwuwwwww

ooooooooooooo ,l,,++,,,,,,+ w_wwwwwwwwww

O000OO0000000

00000o0o00000

WWW_W_WWW_WW

_WWWWI_WWW_WW

ee_ee_eee_eeem= I

•

II

00000000000_0 llllllllllll+ WWWWWWWIdWWWWG|

ll///il/i

,,

II

I

II

'

eeee_ee_$e_$_e_ II

I

I

____--

____'"

IIIIIII1+ W_WW_WW_WLd

Id_W_WW_W_W

II

I

I

2t3

IIIIIlllllll WWWWWWW_WWW_

I

I

II

I

I

QQ_QQQQQQQQ IIIIIII;1111 WW_WWWW_WWWW

QQ II WW

I!

!

I|1||111111! WWWW_WWWWW_

I

I

I

IIIIIIIIIIII WWW_W_W_W_

II

I

OQOQQQQQOQOQ IIIIIIIIIIII _WWWWW_WWW_

•

I _0 II WW

II

II

QQQOOOQQQQQQ IIIIIIIIIIII WWW_WWWIuWWW_

.=ts_..s==less

II

I

O0 ++ WW

st.=s=sss_.**.=

IIIIII

I

IIIIII

IIIIIIIIIIII WW_W_WWWW_

I

IIIIIIIIIIII WWW_WW_W_WWW

II

I

I

II

*!

OOH_OOOOOOOO IIIIIIIIIIIO

O0 II

I

I

II

I

OOOOOO00OO00 IIIIIIIIIIII

O0 II

W _W

IIIIII

II

II

II

I

_

IIIIIIIIllll WWLdWWWWWWWW_ _MM_{U__N

IIIllltlllll WWW,_WWW_WWWW ___

X3 _ _H

_00__

_e_OOMMMM_

_

I

II

O0_OOOOOOO_ Illlllllllll WW__I_WWWW

I

I

IIIIIIIIll

I

II

I O_ II _

I

I

II

II

O00000OOOOOO Illlllilllll WWWbJ_W_Ld_bJbJW

Illlll

II

OO II WW

_'" _E _

I

E_

$

i

244

WWWWWWWWWWWW

W

_dS2SSd_S_g2g | I II I IIIIIIIIIIII _WWWWWW

I

II WW

JWW_W

000000000000

0

0_0_00_00000

0

_WWWW_WWWW_W

W

_WWWWWWWWWW

W

_MM_MM_

0

___

0

I

............... I I

II

_Z2222_dd_ I I

I

.... II

II

_W_I_WWWWWWWW IIIIIII1|111

Wbl II

_WWWW_W__ II|lll[|illl

WW

___

_M

_0oo0o0_

OM

_ _WW_W_W_

W

_WWWWWWWWWW

II

I

I

II

I

ll|illlll|ll

II

000000000000

0

I

II

I

tl

II

I

IIII|IIIIIII

II

000000000000

II

I

___'_,_ llllllltllll

I

W

I

0

II

II

___'_ II

llllllllllll

It

y

2,15

Appendix Aeroelastic-Structural

A.4 Mode

Shapes

The mode shapes of the data base configurations are defined to be (l['fl(,('ti,,n_ in feet n¢)rm_.!ized so that for each mode the deflection at the n()s(, (i._'. F.S. 0) is (me f(),)t. The deflecti(,ns

are to a set of

1,