AD-fl132 DETERMINATION OF QUANTITATIVE RELATIONSHIPS ...
Transcript of AD-fl132 DETERMINATION OF QUANTITATIVE RELATIONSHIPS ...
AD-fl132 834 DETERMINATION OF QUANTITATIVE RELATIONSHIPS BETNEEN 1/4SELECTED CRITICAL HELICOPTER DESIGN PRANETERS(U) NAVALPOSTGRADUATE SCHOOL MONTEREV CA R S PETRICKA SEP 84
UNCLSSIFIED F/G 1/3 U
NAVAL POSTGRADUATE SCHOOLMonterey, California
LO'm
DT C
THESISDETERIMINATION OF QUANTITATIVE
RELATIONSHIPS BETWEEN SELECTED CRITICALHELICOPTER DESIGN PARAMETERS
by
Ronald S. Petricka
LA- September 1984
Thesis Advisor: D. M. Layton
Approved for public release; distribution unlimited.
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5E~~'~:..REPORTZ -* , DOCUENTTO P*[email protected] READ INSTRUCTIONS
*~~~~~~~ REOTDCMNABNPG EFORE COM.PLETING FORM4
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:eterminat.of of ~ aMsers:-e~Relatiols.2.:s 2et;een Sel'ec:-C2 Zectember13;
Cr~~~~t~~.cal~~~ zPlEc:r e~nr<r RFC4NG :aG, REoCA N..T E
Aj 8. CONTRACT OR O;ANr N. mGER(s)
Ronald S. Petricka
S ~Q'Q~d3 QOA2A ZN NA.E ANC ACOPSS 0. ROOAM E-EYE4 PQOjE:: -ASK(
Naval Postgraduate SchoolAEAS* SiTNJES
ZNOL. Z Z CE .Ah4E APC AOCPESS 12 REPORT A-E
N av~al Postgraduate Sch-oL September 1934
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* I S- 3, '.. N S A!EE4 1 b ef&Cf eor~c ntered in Block 210. 11 Jiffeent Irom Report)
-Uant tative Relv onshics of He' icopter :esi~n ?3rameters
* ....Thi tn'eSLS deterines the rel~ationlships or nelicocter e n
r-ararneters iz _ ae-ictin; aaor.ica._*.y all :.css~z~e car:7
or selected JeSL -n parameter values and tn-en, secondl,:,, ,en ra hicaLv reszoecti-ie :rurv:e tits ro,:r tr-e aa-a ::oint
zos meetJ - --n accectance critera. _1n 3enea.n:)!S, s-ec L~C Constants Of eacn- crv- -Ir':
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4-]
Determination of Quantitative Relationships BetweenSelected Critical Helicopter Design Parameters
by
Ronald S. PetrickaCaptain, United States Army
B.S., United States Military Academy, 1973
Submitted in partial fulfillment of the
requirements for the degree of
MASTER OF SCIENCE IN AERONAUTICAL ENGINEERING
from the
NAVAL POSTGRADUATE SCHOOLSeptember 1984
Author: t t
Approved by: ,?esis Advisor
Cha-irman, 'Departme0 of AeronauticsI!
6ean oS' Science and Encineering
"
A BSTBACT
Ibis thesis deterxines the relationships of -ielicc:pter
design caraaeters by first Je~icting graphically all
Fossitle pairings of _5elected design parameter vL lues and
tzen, secondly, depicting graphically respective curve fits
for the data point plcts which meet an acceptance criteria.
In gEneratirg the curve plots, the specific constants of
each curve eguation are determined, thas allowing the
designer the ability to derive yuantitatively the values cf
many of the design parameters heretofore selected by trial
and error methods.
I4
G Li
,- . .I' .. . - . .. -.....- ..,,,..,-. ... .,- .,,.,, ,,. . " ...i -'
IABLE CF CCNTENTS
I. INTECDUCT ION .................. 10
A. CBJECTIVES AND SCOPE ................. 10
II. APPRCACH '0 TEE PROBLEM ................. 12
III. SCIUTION TO THE PROBLEM. 1............. 4
IV. RESUITS AND CCNCLUSICNS ..... ............. 19
A. CONCLUSIONS ....... ............... . 21
APPENDIX A: REFERENCES FOR DATA BASE AND HELICOPTERS . . 22
A. SELECTED rESIGN PARAMETERS AND
NCMENCLATURE ................... 22
B. SELECTED DESIGN PABA3ETER VALUES ....... 23
C. FELICCPTEE PLANFCR?S AND PICTURES ... ..... 24
APPENDIX E: CRITICAL DESIGN PARAMETER PAIRINGS AND
REFERENCE SYSTEM 34.............3
APPENDIX C: DATA POINT PLOTS, CURVE FITS, AND CURVE
FIT EQUATIONS ...... .............. 69
APPENDIX 1: FORTRAN AND HEWLETT PACKARD COMPUTER
PROGRAMS ............... 341
A. 'CRVFIT' (EETERIINATICN OF CURVE FIT
ECUATIONS) HP FROGRA . ...... ............ 341
B. 'CRVFIT' (GRAPHING CF CURVE FITS) FORTRAN
PEOGEAM ........... .................... 346
LIST CF FEFERENCES .................... 52
INITIAL ZISIRIBUTION LIST ..... ............... 353
5
LIST OF TABLES
1. Summary Characteristics of Chosen ieLicopt ers 13
2. Resultant Relationships of Design Parameters 2)
2. Selected Design Parameters and Nomenclatur e . . . 22
4. Selected Design Parameter Values ... ......... .23
5. Main Rotor Radius Pairings ..... ............ 34
6. Tail Rotor Radius Pairings ... ........... . 36
7. Number of Mair Rotor Blad Pairings . . .. 38
E. Number of Tail Rotor Biade Pairings .. ...... 0
9. Height of Main Rotor System Pairinjs ... ..... 2
10. Steed of Main Rotor Pairings ... ............ 4
11. Speed of Tail Eotor Radius Pairings ........ 46
12. Chord of Main Rotor Blade Pairings .... ........ 48
13. chord of Tail Eotor Blade Pairings ....... 50
14. Span of Main Fctor Pairings .............. 52
15. S.an of Tail Ector Pairings ............. 54
16. Twist of Main Botor Blade Pairings .. ........ .56
17. 1wist of Tail otor Blade Pairings 5........5
18. rofile Drag cf Main Rotor Blade Pairings . . 53
19. Profile Drag cf Tail Rotor Blade Pairings . .. 59
20. Disc Loading of the Main Rotor System Pai: ings . 63
21. Width of the Fuselage Pairings .......... 61
22. Length of Fuselage Pairings ........... 62
23. Frcntal Hcrizcntal Flat Plate Area Pairings 63
24. Fzcntal Vertical Flat Plate Area Pairings . 6-4
25. Maximum Fcrward Velocity Pairings ........ 65
26. Maximum Range Fairings .... .............. 65
27. Eate of Climb airings ................. 6
28. Hcver Ceiling (IG:) Pairinjs .. ........... 66
29. HCVEr Ceiling (OGE) Pairings 67
30. Length of Tail Pairings 67
21. O0erating Weight Pairings 68............6
-2. Load Weight Pairings ................ 63
23. Fuel Weight Pairings ....... .............. 69
.4
7
.
-' - -
4" LIST CF FIGURES
2.I Cata Point Flot Chosen to be Curve Fitted . . 15
3.2 ata Point Ict Chcsen Not to be Curve
Fitted .................... 15
3.3 Example of Type 1 Curve Fit .. ......... . 16
3.4 Example of 11pe 2 Curve Fit . .......... 17
-. 5 Example of Type 3 Curve Fit ..... ....... 17
6 Example of Type 4 Curve Fit ........... 1
A. 1 AH64 Planform ......................... 2
A.2 CH58C Planfcrm ... . ................. 25
A.3 SH-39 Planfcm ... ................... 26
A. 4 S-76 Planform ...... ................. 27
A.5 UH-60A Planfcrm ............. ................ 28
A.6 CH-5 Planfcrm ............................. 29
A.7 CB-53D Planfcrm. ...... ................ 30
A.8 CH-53E Planform ...................... 21
A.9 AH-1S Planfcrm ...................... 32
A. 10 UH-IH Planfcrm ....................... 33
Main Rotor Fadius Pairings .... ........... 69
Tail Rotor Fadius Fairings . ........... 93
Number of lain Rotor Elades Pairings.. . . . 107
Number of Tail Rotor Elades ?airings ..... . 127
Height of lain Rotor System Pairings ..... . 137
Speed of lain Rotor Pairings ......... 1
Speed of Tail Rotor Radius Pairings ..... 167
Chcrd of Main Rotor Blade Pairins ...... 191
Chord of Tail Rotor Blade Pairings 191......
Span of Main Rotor Pairings .... ......... 201
Span of Tail Rotor Paizings . ......... 215
Twist of ".air Rotor 3lade paiz:i.s. 227
Twist of Tail Rotor Blade Pairins . .. 231
Prcfile Drag of :ain Fotcr Blade Pairin;s . . 235
Prcfile Drag of Tail Fotor Blade Palrin;s . 243
Disc Loading of the Main Rotor System
Pairings ................... 251
Width of the Fuselage Pairings ......... 263
Length of Fuselage Pairings ... ........ 271
Frcntal Horizontal Flat Plate Area Pairings 281
Frcntal Vertical Flat Plate Area Pairings 289
Maximum Forward Velocity Pairings ...... 295
Maximum Range Pairings ................ 1
Rate of Climt Pairings ................ 07
Hover Ceiling (IGE) Pairings ......... 13
Hover Ceiling (OGE) Pairings ....... 17
Length of Tail Pairings...........321
Cperating Weight Pairings -7..........27
load Weight iairings .. ............. 333
Fuel Weight Pairings .. ............ 337
I. INISCEUCTION
-he evclution of helicopter desion has prcce- iel far
beyond the starting -cint where desI-n ecisicns W.ere based
on a 'trial and error' criteria. In major helicopter
industry, the design process has evolved to a lacgely tEch-
nical disci~line where, with the noted exceptions of techno-
logical breakthroughs which cause a drastic departure from
the ncrm (an example being the Hughes NOTA2, a heliccpter
without a tail rotor!), a new helicopter design is built by
Fiecirc together critical design parameters in a fashion
dictated by past successful designs. Those critical Iesi:n
paramEters, logically, are determined by the intended user's
requirements (e.g., carrying capacity, and mission (scout
v6. utility vs. attack)), performance requirements (e.g.,
speed, clixt, and rance), and the geometric requirements
(e. ., length, and width).
Definite relationhips between these critical design
parameters (30 have teen selected), are frequently unavai-
lable, or unknown, and are not used during the preliminary
design process. Fy examining all possible pairings, or
jermutations, across a large number of present helicopter
designs (10 have Zeer chosen), one could produce equations
cf curves which would consistently, accurately and quickly
pro.uce the quantitative value for the design parameter a
designEr seeks.
A. CEJECTIVES AND SCCPE
* The Cbjective of this thesis is to Jetermine if cuanti-
tative relationships Exist between the pa.rings of crltical
helicoCter 2esi-gn parameters. If tney do exist, sEci f.fC
0
01
-~ - ~..*** -v--u--.
Ep1aticn~ a: curves, ~cr~n-~ a curve ~i: ~ the ~ ata, a:specific ccr~sta2ts, are ta ~e ~eterzi:e'1.
4 4
4 I
I
1 I
4 I
I
6
S
*11
S
II. APROACa TO THE PROBLEM
Thirty design parameters were selected and a data base
was ccmpiled of the values of these desi~n parameters fcr 1)
heliccpters. The 10 helicopters chosen were selected
purposely tc represent a varied mix of single-missicn
aircraft (utility, heavy utility, scout or observation, and
attack) , and old and new technology, ranging from the 1950's
to the late 1970's, tc lend creditability to the resulting
relaticn.hips for use in any future preiiminary aelicopter
design piocess. Selected design parameters, and the respec-
tive values for each cf the chosen helicopters ace listed in
Appendix A. A planfcrm and abstract picture of each heli-
copter, for referencing, is ccntained in the same Appendix.
Table 1 is a brief summary which illustrates the diversity
of the helicopters chosen to compile the data ba3e fcr this
thesis.
Pairing each parameter singularly against eaz:h other
yielded 435 permutaticns at the start of the evaluaticn.
The pairings are referenced by 2 numbers. For examcle, the
pairing numher '1-30' pairs the first design parameter, Iain
Rotor Blade Radius, against the thirtieth design parameter,
Maximum Grcss Weight. Appendix B contalns a complete
listing of pairings. A simple data point graph (X vs. Y)
was made of each pairirg and, for the graphs that showed a
clear relationship existed, data points are curve fitted
yielding a curve equation with specific constants. 2oth the
singular data ,oints, and the curves, generated from the
curve eguatiois, are depicted graphically, reinforcing the
closeness of the curve fits, and that a relationshLp IcEs
indeed exist.
12
6:
TABLE 1
Summary Characteristics of Chosen Helicopters4' "
M litarv Weigot Primary Year of Year 3Z f issionDesignator Class Service Manufacture :echnology Purpose
AH64 Medium USA 1933 1970 AttackCH58C Lih USA 1969-78 1960 Ccservati onSH-3H Medium USN 1961-72 1950 Ut.LitVS-76 Mt-diam USN 1982 1970 UtilitUH-60A Medium USA 1979 1970 UtiiltyCH-54B Heavv USA 1974 1960 Ut-i. tvCH- 53D heavy US N (MC) 1969 1960 UtiityCH-53E Heavy USN 1981 1970 UtIi 1 VAH-IS Medium USA 1970-81 1963 AttacxIUH-1H ledium USA 1965-76 1950 Jtility
In addition to original programs, two pre-existing
computer prcgrams were used to facilitate the accomplishment
cf the thesis objective. The data point plots were gener-
ated with 'Helicopter Data Display', written by Captain Gary
Eisho, tSA, "Ref 13, and the curve fit evaluation was
accomrlished with 'Crvfit', a Hewlett-Packard hand-held
computer program, written by Commander Pat Sullivan, USN,
[Ref 2 I he 'Heliccpter Data Display' graphic output was
re-si2Ed tc meet the reguirements for thesis submission, and
the pre-existing data base revised with additions of data
from 3 mcre helicopters, a deletion of 1, and correction of
some incorrect data. The 'Crvfit' program was used as is,
with an acceptance criteria, called the correlation factor,
cf .8 Cr greater.
13
• S
A
IllI. SCLUTICN T0 THE PROBLEM
Cf tie first 435 airings, 153 were cut from considera-
tion following an initial ccnsultat'.on with ThesLs Advisor
Prof. Donald Layton hased on his own expertise. Those ;air-
ings disregarded from further evaluation are indicated hL a
prefixed "XX" in Appendix B. An example of pairings which
were disregarded outright were those involving 'Degree Twist
of Blades'. By experience, and verified thru conversations
with helicopter company representatives, 'Twist of the
Elade' has in the past been decided on by a 'what's on the
shelf' selection criteria, thus explaining why some ccmFa-
nies produce helicopters predominantly with a -10 degree
twist, while others produce helicopters predominantly with a
-8 degree twist, or, a 0 degree twist. 282 simple X-Y Flcts
of the rEmaining pairings were then generated, with the
first number of each pairing designated as the X-abcissa, or
horizontal axis, and the second number, as the Y-ordinate,
cr vErtical axis. Plots appear in Appendix C and are refer-
enced with figure numhers consistent with the method used to
reference the initial pairings (Example: Fig 1-30). 7he
selection for further evaluation for determining curve fits
%as accomplished by empirically judging whether the data
points tended to show that a relationship existed. lhcse
figures referenced with a suffix 'a' indicate that a rela-
tionship does exist and a data point curve fit follows. The
two examples are illustrated in Figures 3.1 and 3.2.
The data of the data points plots that were ;uestionazle
* were sutmitted to the Crvfit program which made the final
decision as to whether there was an interrelationshi F with a
resulting program correlation factor of .8 or greater.
14
1. AH-64 6. CH-54B
IHELICOPTER DESIGN" 2 -311 7.
AE 4306/4900 4. S-76 9. AH-13.UH-60A 10. UH-1533000 436-005 H-0 0 H
L
e2
') 2000-
0 9 41. 1 I
o 5 0
-< 0-3 7... 8
20.0 25.0 30.0 35.0 40.0MAIN ROTOR RADIUS (FT)
Figure 3.1 Data Pcint Plot Chosen to be Curve Fitted.
LUC
I.-I3I0 4 7
" :4- •10 O 5 0 O 8
- 60-
0 2- o 2 0cc 10n Im
z
0 20.0 25.0 30.0 35 0 40.0MAIN ROTOR RADIUS (FT)__
Figure 2.2 Data Point Plot Chosen Not to be Curve Fitted.
15
At the same time, the 'Crvfit, program determinei which of 4
(four) curve types, linear (Type 1) , exponential (Type 2),
logarithmic (Type 3) , cr power (Type 4), Lest fit the data
Eoints plotted. An example of cue of each of tha 4 curves
is illustrated in Figures 3.3 through 3.6. Curve fits for
the respective pairings, referenced with a suffix 'b', indi-
cating curve fit (Example: Fig 1-30b), and which includes
the test curve fit eguation, follow their respective data
point jlcts in Appendix C.
,
0 #1, LINEAR, Y=BX -A
_= ,5-
2 3-:
UJ 2-
z20.0 25.0 30.0 3i.0 46.0
MAIN ROTOR RADIUS (FT)
Figure 3.3 Example of Type 1 Curve Fit.
616
[# 2, EXPONENTIAL, Y A EB
3006 30 35 4
< 100
30U,
_ 150 #3, LOGARITHMIC, Y B LN X+ A
20.0 25.0 30.0 35.0 40.0
MAIN ROTOR RADIUS (PT)
Figure 3.5 Example of Type 3 Curve Fit.
17
6h ~100 D-1B
i 40. j14 IE YX
200 20 300 350 40.0
MAIN ROTOR RADIUS (FT)
FoFigure 3.,6 Ezanple of Type L4 Curve Fit.
[. _ •.
IV. RESULTS ANC CONCLUSIONS
282 iairings were evaluated to determine wnetner an
interrelaticnshij existed between the selectei lesign param-
eters. 185 were determined to produce positive curve fit
data which zet or exceeded the chosen correlation factcr.
Cf the 3C design parameters selected for evaluation, the
parameters Maximum Grcss Weight and Operating Weight were
most interactive, resulting in positive quantitative rela-
tionships with 16 other parameters. This is understandable
for bcth parameters are geometric parameters, driven hy
mission and performance requirements and both influence many
cf the cthers. 10 design parameters had no influence,
resulting in no relationship with any other parameter. A
demonstration of the validity of the derived relationships
is illustrated as follcws where both the curve fit equaticn,
and an alternate methcd (used in AZ 4306 Helicopter Design
Manual [Ref 31), are used to generate specific design param-
eters of Gross Weight and Tail Rotor Radius. .:he results are
compared to an existing, flying helicopter.
Pequired: Com ute Gross Weight, N1W, as a fun::tion ofTail Rotor Radius, RTR, given as 2.6 feet.
Curve Fit - MG ' = 32 4.88 x RTR 2.382 = 3166 lbsE uaticn
AE 43C6 - MGN = 591.716 x RTR 2.o = 4000 lbsDesierg Manual A(Alternate Method)
2.E feet is the actual tail rotor radius of tae OHS8CArmy Cbservation/Scout Helicopter whose actual 3rcssWeight is 2550 lbs.
ccmparison, the curve fit equation generates a value
Grcss weight 2411 above actual lesion, whereas thealternate method CEnerates a value 52% above actual design.
Table 2 lists the nuzker of relationsaips, or the influence
cf each design parameter upon each other.
1. .
TABLE 2
B sultant Helationships of Dmsign Parameters
V 'H tF LVELFRTFFFVF:-s - - -> > :4- '-
---
I --i - -- - -
.- .4>4 ,
_ -4 -I - - - - - - - - -
'1I
6 -. - . .. . ...4 .4 C
. " 4)
- a - -, . ; -: I
- -. - - t
, 4 4 ( :
- - - - - - - - - - - - -- - - - , - - --
. ...7 :- o + ... . .4,47- -,-.. - ..
+ '1 4 . 4 , 7 0
- - >44 4->>- > 4 - -20
- 4 4 - 44 44>
>4 - 4 4 4>- i 0 4 4 4 4 4" " 0 0 4 4 - 1 4 41 / "-4 ",** +° "+
'41 44 0 , I . . 0 0 a (4 1 0 4 > 3:. ' ° -
A. CCNCIUSIONS
7he cbjective of this t.nesis nas teen ac-ievz? -v estat-
lishirg the clear relationships that exist 'etweer. seleCtE4
Helicc~ter design parameters. The curve :it e-uations tnat
wre derived, and the specific constants for each e-uatio:,
rovidE the designer, be he prcfessional, in the industry,
cr student, a means to quantitatively derive valies cf
desin arameters that are encountered during the Erelii-
rary design process.
Until technological breaktbroughs force a drastic !epar-
ture from the established design norms developed over the
last 30 years, the curve fit equations car. produce a zuanti-
tative, quicker, and aore oytimum solution than the metho-s
emplcyed to date.
I=
APPENDIX AREFEEENCES FOR DAIA BASE AND HELICOPTTTS
A. SELECTED DESIGN EARAMETERS AND NO5ENCLATURE
TABLE 3
Selected Design Parameters and Nomenclatzre
Selected Design Parameters Nomenziatire
1. Main Fotor Radius .t 22. Tal Rotor iadias ) .iae3. Numcer of !ain Rotor lades4. Number of -,ii Rotor Blades R5. Heigrt of iain aotor System T
azove Ground (nt)6. Szeed of Main Rotor System (rpm) PM7. Su:ed of ail Rotor System (rpm)a. Caord of the Main Rotor (ft) C9. Caord of tae Iail Rotor (ft) CTR
10. Soan of the !aiz Rotor Blade (ft) as11. Span of tae fail Rotor 5lade (ft) RSTR12. Twist ot ' ain Rotor Blade degrees) TWST13. Twist of iail Rotor Blade (E grees) :WSTR14. Profile Drag of Main Rotor Blade ZDO15. Profile rag of ail Rotor Blade :DO .R16. Disc Loading of Main Rotor System DL
(li/s; ft)17. Wiitz o--: tne Fuselage (f S18. Length of the Fuselage (:t)19. Frontal Horizontal Flat latE Area FH23. qnta i Iertical Flat Plate Area FVJq/ft) o w r V .121. aX Fward Velocity (knots) 7.)2. Maximum Fange (nam)13. Rate of Climb, maximum Continuous C
Power fp?)24. HoveZ Leiling (:GE, in ground H OV E
effect)25. Hover Ceiling (CGE, out of ground HDV26. enjt) of rail (ft)27. Cperating. deight (It) 3M'2a. L~ad Weignt (5b -.W!29. F]il W e .-. t .:WT30. ,axi mu Gzoss Weight (lb)
-2
E. S f ZCTE H -2S 3N i A FA 1EE V LS
TABLE ~4
SeJlectEd Desig~n ParameteZ values
1 40
-~ ~ ~ ~~ ~~ 4 4 N M2 7 41 " " 4 4 . e - 1 . . 2
Cn c3 4.2 .' n *0 0 . - 1 z' ~ ''
~ I- ~ * - ,44 - 7 4 -. 4 - "4 .4 -
-~ 2 0 '2 7' 2 12 .2 -~ *0 a 24- ~ 1'
*1 n2 -. 7 1 ' . 2 n 2 '' * . " 2 ' 2 '
4~~~ ~~ X.. ~ .. ' 14
'VI '44D .
>4 - 4 . 4 - M -a w44 - 12 . ' C 4 2 4 ' 1
04 ~1 41
'.4 I), L c- ,- A- N z2 -, I' .2 7 0 (N .
w2 4 4 1
N F' F 4 r 7 F41 'F 11 F E2 F4 F2 F-
4
C. HELICOPTER PLANFORIIS AIdD P~ICTURES
Hu~gMtl YAN 6A Avoche prototyp, dutimq fl )ht demonstralIoni riv 1 98?
_ _ __ _HUGHES -AIRCRAFT USA
E7 I --)
42
Bell OH ISA Kiowa turbine-powered liht observation helicopter in US Army Orir~ce \.'un ?v.
AIMI
.........
Fi ur A. /H81Pa fo
Sikorsky SN-3H multi-purpose hielicopter tor ASW and expansion of Rooet missile defence
SIKORSKY -AIRCRAFT: USA 471
Sikorsky SN-3M twin-efined muiti-purpose amphibious h*licopter'P,,, P'-is;
62
IA_
Sikonty AUH-76 armed utility helicopter, with srwiwiaily mourned ant-armouf minls
Fiue4. - 7 Plaf-
277-
I USA.. AIRCRAFT - SIKORSKY
1 UN-6OA Black Hawk. *quipped with arternai Stores support systemi carrying 16 Helffire iss nRgh
* q~~~~~ad!efication testmas, nfgt
Sikorsky UH-60A Black Hawk combat assault helicopter 'Pit, Preirp
Figure A.5 UHl-60A Pidanors.
62
g o rs H C - , 8 tt46 u S A rm y n*W M vy
4 ' t u ti ity w anto n ol t~ i S 1ty I "ifl
pjgure k. 6 C 5 4B Plafo"
AA
.- r Ir
Sikorsky CH-53E Supet Stallion heavy- lot? helicopter- Ithese Goijeral Eiocttic T64-GE-416 turboshaft anqane..
I-
Sikorsky CH 53E Supor Stallion heavy-lift helicopter !Pdvi Presj
Figure A.8 CH-53E Piantora.
31
PIP
Bell MN-i H Iroquois local bass rescue helicoolmf in USAF service
/41
_ > A2
111UN-i N Iroquois, with sddifttisaf side views of UN-iN -ceiifrei and AN-IG____________ ~ Mil Nuqr 0ott"'11 ~ _______
Figure A.1 oa Ei- 1 a Plaztoru.
13
APPENDIX 3CRITICAL ZCESIGM PARIAETER PAIRIN,33 A-43 REFERENZE SYSTEM~
TABLE 5
M~ain Rotor Radius Pairings
1 - IAIN PCIJ: BL DE RADIUS IN FE2- :A-;L F ORz: BLZF RADIUS IN' E 7-
4~~ 1- -AN-T? LD ADIUS IN3 - '4L :.3ER OF MI.'i FO-OR BLADES
1 - .AAUN ?CCB: -LZ ADIUS i'lFEEE74 JBE ,F I~ ~C _C? BLAZES
1 A ' i~ =CO 0 2A27 ADh7JUS :N
1 "A ~I N ECTO E BLAD E ;;ALI US I N F ET6 - SPEED CF ,,AIi RG:DER sySE I 5
1 - .IA IN EC:,Oz =LAZF zAD:US 1N v::7 - SPe-7D Cf AL CC SYSTEm I .N ?.
I - iA:.1 IRC'37 RLz ADIUS :N' EE7- CHO ID CF .-,'AIN F :7&J BLAD E IN
1 - A -N ECc:O'- E-TADE :PADIUS IN FEE:-9 - C c'J? CFA.L FOTCR BLADE IN i-EE-
1 - IA I,' ZCTO= LA ET nAD IUSz I N FE~F 1A 'A -NA CF F~ FC;: C B ZA E _1N =r
1 " - .AN FCda? = LA2E FAD:jS IN ETET.1 C SP: F TA 0T~ A DE I N FE
:! - I FC-_C7 ELA2E FAD:U3 IN \E1 2 - _.:.3S CF A.AINq :;6C-4 B-LADE, :N DEDRE-s
CC 1 :,- I PCr3 ELA 0 E EA3 :US fN13 7' - s c A AI L 2cT C In3LADE IN_3 DEREE S
1- ~L ECTOR =LA:T: ?ADIUS :N FzL4 -?J:E DP AG (' CF ' MA 1N FCO BLDE
'K 1 -A ~AN r - 0 7 EL FE ?ADIU3 IN FEE:15 - ER -IL DF;A3 3F TAIL FCTOa:L 'LAZE7
Y( 1 ! A::"; FC'O. LE:,%)- ADMU3 IN Fr~10 LY L L (_A D G JCF Ti M A N F C 7C F .3if M
KX 1 A: N :-) E:A:E :AD:'JS IN17 - :3HC TE7SA FEET:
N- A - LAT Z A E S-5
1: - L-flTH H TRE 7Us::a:z -M
1 - -; 2733 -LAD:- ADCUS S-- NA FEAT LAT AREA IZ a AUIrE RET
1- TM CXROO ELA ,Z RADIUS 21 LX" - iU:.T£C.I FLAT ;LA TE A REA -M S N
1 - .t. ROTO.R FLAXZ RADIUS CM c_- A - :A'IiUM VELOCiTY N' NOT
1 - %CN C ETOR FLAE RADIUS CN FEET22 - A.M .A.NGE CM UAJ-CCAL CLE3
1 - A'I RCTS, ELADE A2CUS -N _A - A - CC 1 1 1 " : 1 E7T ?R .T
1 - ' C T A.DB DIUS 7M fEET24 - 'DV CEtING (7-1 GouND -:5:0C)
:N fEE
1 - A I N R OTR ELADE RADIUS 21 FEETF5 - (OV H CEI LING (CUT F GOU NE L FCT)
1 - .AIN RCTOR FLAE RADIUS IN FEET26 - LEG-H OF THE TAIL5OG IN FEET
1 - iN.ECTOR ELAZE: FAD-US IN FEET27 - OPERACI'IG WEl N II FOUNDS
1 - AIN ROTOR FLACE RAIUS IN FEETFE - EDAD WI-IJMT'.. Ci: POUNDSO
1 - AIN RG'OR FLAE FACDUS IJ fEET23 - FUEL WEriGT :N _CUNDS
- A F0TC 7 EADE RADIUS iI FEXT-u - NA.CAU GRcSS I.EI5T iI POUNDS
35
TABLE 6
Tail Rotor Radius Pairinags
XX 2--TAIL' rOTOR JXRTIS IN FE
2 - ALROTOR B:LADE RADIUS :1 -rri% -, NE 'F TAIL ROT 0OR BL:A w S
X X 2 -TAIL ROTOR BLADE RADIUSz:1 IN E T5 HIGHT C"F MtA I I ROTORG1, SSTE ABOVE
G~RJUND IN FrET
7A7 2 AL ROTO0R BLADE READIUS IN4 FEET6 C PE F 'IAIN ROTOR SlSTE-M I N RPFM1
TAI RCWD ELADE RADIUS IN FEET7 7 -PE O" T AI7L RO TOR S YST E . IN RP .
XX 2 -:AIL, ROTO- ELAZE R.ADIUS IN'3-CHORD OF lIAIN B-OTOB BELADE IN FEET
2 - TrA:L ROTOR BLADE RADIUS Ii FE--r9 - CH'ORD CF': TAIL ROTOR BLADE IN
XX 2 - T A IL ROTOR BILE RADIUS3 IN EE7 T
*10 - SPAN OF !AIN ROTORi B.LAZE IN FEEL
-TAIrL ROTOR' BLADE FADIJS IN FEET11- SPAN-13 Cr TAIL FROTO BL 3:,ADE IN iE -T,
K.(2 - TAI ROC?= BLADE RADIUS IN.E12 :7 -WIS OF AIN ROTOR BLADE I N DEZ;R EE.3
A 2 - AL R.OTO 0R BEAE --A DIU S I N F~r13 C 5'S CF TA IL;; OT OR B.LADEZ IN DEGREE
U 2 I' TAL ROTOR BL'ADE RADIUS IN -EC4 F P ZFIE D RA G OC .AIN RO0TO0R B.LADE
TAIL ROTORF BLADE RADIUS IN F ETN 5-PR ~EDRAG OF TAIL ROTOR BL11AD3E
2- TAI OTOR BLE RADIUS IN i-E Tit - DISzC LOA DI7NG OF F MAI -' OTO:R _ElSTEM "
XX 2 - TAIL ROTOR BLADE RADIUS IN FE-717 - WI:DTH CF THEL FUSELAGE IN FEET7
- -A TAL ROTOR BLAZE RADIUS TN "EET*~~7 18-LEGH (DR THE FUSELAG3E IN FE
LI
12 - :ZL ECTR ELADE -ADU.S IN FE?
21) - FERONTAL FL A P:LA A RA YZN 5&AX' 2 A -I RCe- =LADE .AD:US ZN FEET2I VRTICAL FLAT PLATE AREA IN SKE
2 - TA:: ROTOR E LAE RADIUS ZN FBET21 - MAXI.1 RELOCITY N KNCS
" IL ROT.OR ELAZE F ADIUS IN rE22 - A CTI.U RANG TN NAJ:I AL ZLES
2-TA:: ROTOR, EilATE RADTUS- IN =EETATE CF CL-M3 ZN F:E- PER .TNU.-,AXD UM CONT.INUOUS POWER
2 - TAlL FCTOR ELATE FADhUS i' T -.fl4 - CE. CEILEN; (ZN h3OUND E FEC:)
IN FE E7
2 - TAIL, EC :iA:E ... OT E DIUS - .Z EET25 - HO'.E CEILING (CU-OF CRQU NT EFFECT)
IN
2 - TAIL ECTOE SLTAE RADIUS IN FEET- LE~NTH C5 HE- IAiLSOON ZN BEET
2 - TATL ,OTOR SLAD RADIUS IN 5EET27 - OPERATiJG WEIGHT N POUNDS
2 - TAIL R:CR ELADE BADTUS ZN FEET28 - LOAS WEGHT IN PCUNDS
xx 2 - 7-A:7 RSTOP. SLAE RADIUS ZN 7 EST29 - FUEL WEIGHT,. I'I POUNDS
2 - TAiL RCTOR ELAM :RADIUS TN FEET30 - A:CIZUM GROSS WEIGHT IN. POUNDS
7
TABLE 7
Munber of main Sotor Blades ?airiz.;s
S NJ'IE 7 E 1A l' C TC R BADE7SN NJ A E C 7 -A.L P:C -CR BL:AD E
3 N 1 C F !A:" RxU 0 B.LA DE- t I Th: CF :1 AP I SLS:EY. AZCVE
GROJNC 1.1 F E 7
- N U'lE F C F M A I S FC 'OR BLAZ)ES3-sEF:D C7 :!':N FOTOB SY3EM IN 'P
3 -1 T! E R CFM ~A :q RO-TOR B LADE S7 - S2_7ED C7 : ROTOR SYSTIMA I N R 2 '
3 - N:J:IBE? "F MAIN zC7OR BLADES8 - CH1OZD C.: M AI1N FC7CR BLALE IN FEE:
'(3 - N'J 32R uF Y!AIN FO:02 BLADES- CHOP.- OF -_A iL FEc:cR iLD N FE7ET
3 - NU13ER OF AIA EC-CR BL;AD S10 - 5; ;N1 cF AA~ N PCTOin BLA CE IN F-7
1- NJ 1BE. G F A 7N RC Ci B L A DE1 1 - 5N C F TL COO : LAE L N F EE
3 -N'J* ": .F ~A N 7:C:OR BLALES1- T:S: CF AAIN RCTCR BLADE IN DEOREES
.~ - E-17;E CF MAN SCTCR BLADES13 CF -.s o AIL = c 7CR L AD E I N Z3 REES
*.x3- NUY 3EB F j: Al RO':CF BLADE-S15 %FL DRAG CF TAIN Ec:OR BLA DE
3 - Nj.IBER 6=' A!N' 2GC BLADES16 - :s L AG 0F '; TIAZN F RCR SYSTE:17
3 -:iiBER C A TAI r cTOR BLADES
17 -21Hc?:~~5EAEZ FZEE:
- N~'BES F AIJ 5C'C. BLADES18 - ING 7H C F T HE_-: SE7-L A GE : N 5 EE
3 N NUA;E 3 oRF !1 A ;0 -OR B LA DE SJ9 N TF :A FLAT I iT A-1HREA N3 SQA E F Z
3?
"LI AREA
Li AA~u 7zc:0 IN DNS
- ENJA7EF FS .A-iN BCCQR *-:A DI2 LA U :1 BA .4GE I N 'AJTL-CA:,~LZ
NJYBA IF :N FX B PLADESA E C F CZL:1B N ED F E . :'1 E,
AA:Lu LNITIUCUS P?- 7EE
NAE O- 7 F iAIN 52C BLA DE4 CE CELIN G IN 3floJMD EFEC)
JAB? CF A TIN BOX? BLC 7A DESP
2 ~ V C;1sr 7v 7KN ROORBLDE
27I a': 7 VFATN :-Ii C:N' PO7U1D S
33 - AUBE 7,F AIN EOO BLA DES29 - FUE INIHT1 IN GNDPSJ
4 UAE F AKIN BCXR BL1AD)E S
20 - AAUMUA : IR'S QE2H DS OU
CF 0I7;3
A* T jpo jN ZS
TABLE 8
Nuaber of Tail Rotor Blades Pairings
XX 4 - NUIBEi OF TAIL ROTCR BLADES- £jzI7hT OF MIAIi ROTOR SiS-E ABOVE
GR:.OUND IN FEET- N - .\IBER OF TAIL SO-CR 3LADES
0 - SEED CF MAIN FCTCR i5STEM. IN P
4 - NUMIBER CoF TAIL ROTOR BLADES7 - SPEED CF TAIL ROTOR SYSTEM IN RPM
iX - NU.IBER OF TAIL ROeOR BLADES8 - CHORD CF AAIN ;0;TCR BLADE 1N FEET
- jU:iBER OF TAIL ROTCR BLADES9 - CHORZ OF TAIL ROTOR BLADE IN BEET
XX 4 - NUMBER OF TAIL FCTOR BLADES10 - SPAN CF nA-N ?CTCC BLADE IN FEET
4 - :IUAIBEP uF 7AI. ROTOR BLADES11 - SPAN GF TAIL RCTOR BLADE IN FEET
XX 4 - NU:5ER OF TAIL FGTOF BLADES12 - TWIST OF .IAIN RC. O BLADE IN DEGREES
4 - NUMBER OF TAIL OTOR BLADES13 - TWIST CF TAIL EOTCR BLADE IN DEGREES
XX 4 - NUIBER OF TAIL ROTOR BLADES14 - PROFILE DRAG GF MAIN ROTOR ELADE
4 - NUMBER OF TAIL FOTG BLADES15 - PROFILE DRAG C;F AIL ROTOR ELADE
XX 4 - IUMBEE CF TAIL ROTOR BLADES16 - DISC LOADING OF THE :AIN ROTOR SYSTEM
XX 4 - NUMBER OF TAIL ROTOR BLADES17 - WIDTH OF THE FUSELAGE TN FEET
4 - ThU.,B.R OF TAIL ROTOR BLADES18 - LE:N H OF THE FUS LAG E IN E;E_
X:( 4 - NUMBER OF TAIL ROTOR BLADES19 - F-DONTAL FLAT PLATE AREA IN SjAEE FEET
XX 4 - NU:IBER OF TAIL ROTOR BLADES20 - VERTICAL FLAT PLATE AREA IN SQUARE EET
0
4 - NU'132P :F '.A:-- ;;00G BLADES21 - ::x:uiVELCCITY lN KiC'S
.(X 4- NUJIBEF C7 TAIL Rc:O0R BLADES22 - '.A':M::Uy :1"t,4E IN NAUTICAL 1E
X K 4 - iJA37F. CF 'TAIL ECc0F. BLADES23 - -. EC LIMB IN :.Z77: !ER AIINUTE,
4 UnSEF OF 7AIL PCOR BLADZES24 - ?iO'Eg CEILTNG (._N GROUND ZZFz EC)
4- N V! B ER :A:L aG-R BLADES25 H 0 Ci c:L. N G (CJ c C ,F OUN Z E F FEC)
I N FEE:
4 N 0 '13E R CF 1I T C R R F LA DES3,- LEI ;TH CF :H-- :_A:L,OO1 lN i-HET
4- NU'IBER CT 'TAIL ROcOR BLADES27 - 02 7 . 114NG WEGH T IN POUNDS
4 - IUABER Cf TAIL ECTOR BLADES28 - LOAD iEI&J,:iIN POUNDS
4 - NUMBER OF TAIL EO R B'L'ADES29 - FUEL W;73H' IN PC NDS
4 - NU:IB7E CF TAlL' ECTOR BLADES30 - MAX::I1 GF.CS]S WEIGHI I N OU N D S
.0
TABLE 9
Height of 8ain Rotor System Pairings
5 - HE3ihT OF MAIN FOTOR SYSTEA AEOVE- POUN :N FEE:T5:~I
SPEED CF AA.IN ROTOR SYSTM 1N ;Pl
X - i3-:iT CF MA1N ROTOR SYS-E, AZCVEGRXUNC LN FEE:"7 - SPED GF TAIL RCTO SYSTEM 7_N SP'.
- H:EIGHT CF MAIN EOTOR SYSTEM ABOVEGROUND IN FEET
- CHORD OF 1AIN FOTOR BLADE IN FEET
:KX 5 - HEI ,-HT OF 4 A7I RCTOR SYSTEM ABOVEGROUND N FEETN
9 - CHORD CF :AIL ROTOR BLADE IN FEET
S - HEIGHT OF MAIN ROTCR SYSTEM ABOVEGROUND IN FEET
10 - SPAN OF MIAIN ?OTOR BLADE IN FEET
XX 5 - HEIGHT OF MAIN FOTOR SYSTEM ABOVEGROUND IN C EET
11 - SPAN CF TAIL ECTOR BLADE iN FEE:
I(X 5 - HEIGHT CF MAN ROTOR SYSTEM ABOVEGROUND N FEEl
12 - TWIST OF IAIN ROTOR BLADE IN DEGREES
XX 5 - HEIGHT OF MAIN ROTOR SYSTEM1 ABOVEGROUND IN FEET
13 - TWIST CF TAIL POTOR BLADE IN DEGREES
5 - HEIGHT OF MAIN ROTOR SYSTEIM ABOVEGROUND IN FEET
14 - PROFILE DRAG OF MAIN ROTOR ELADE
X( 5 - HEIGHT OF MAIN ROTOR SYSTEM ABOVEGROUND IN FEE
15 - PROFILE DRAG Of TAIL ROTOR ELADE
5 - HElmhT GF MAIN ROTOR SYS-EM ABCVEGROuND iN :EET16 - DISC LCAD:NG OF THE :lAIN CIOR SYSTE'Z!
5 - HEIGHT OF MAIN ROTOR SYS-,EM ABOVEGROUND -N FEEE
17 - WIDTH C? THE FUSELAGE IN FEET
5 - HE-GHT CF MAI, ROTOR SYSTEM ABOVEGROUND IN FEET
18 - LENGTH OF THE FUSELAGE :N FEET
5 - HEIGHT CF MAIN F'OTCR SYSTEM AhOV:3OJ ND IN FEET
19 - F R, NTAL FlAT :zLATE AREA IN S UARE U !A
- -.EIGHT ,F MAIN RG:OR SYSTEM ABOVE; 3U ND ' FC ET
IJ - VER:ICAL FLAT PLATE AREA IN UTE i-::
5 - HE PiT AIN 'lOTOR SYSTE. A C7E21 UM V N FEET21 - .A:(iY UJ VEX..CCIY IN NC:S
42
4 x 5 - H'IGH: CF MA1' F0 C, .YS:TM ABOVEGROU'D IN rEE
22 - *.47'4UE ANGE IN NAJTICAL MILES
5 - HEIGH- OF !AI:l POTOR SYSTEM ABOIEGROUND IN FEE:
23 - :;ATE C: CLIMB IN FEET PER M:NUTE,MA:(I .U CONTINCOUS ?C-ER
5 - HEIGHT CF MAIN ROTOR SYSTEA ABOVEGROUND iN FEETZ - HO7ER CEILING (IN GROUND EfFECT)
5 - HEIGHT C? MAIN ROCR SYSTEM ABOVEL 3GROUND 1 N F EET
25 - HOV I'- CEILING (CUT OF GROUNE ZFEECT)TN
5 - :I ZE!HT OF IAIN EOTOR SYSTEM ABOVEGROUND IN FEET
26 - LENGTH OF THE TAILBOOI IN FEET
5 - HEIGHT OF MAIN 5CIOR SYSTEM ABOVEGROUND IN FEET
27 - OPERATING 7EIGHT IN POUNDS
5 - HEIGHT OF MAIN EOTOE SYSTEM ABOVEGROUND IN FEEr
28 - LOAD WEIGHT IN POUNDS
XX 5 - HEIGHT OF MAIN FOTOR SYSTEM A OVEGROUND IN FEET
29 - FUEL WEiGH IN POUNDS
5 - HEIGHT OF MAIN ROTOR SYSTEM A3OVEGROUND IN FEET
30 - YA.IMUM GROSS NEIGhT IN POUNDS
3
.4
TABLE 10
Speed of Main Rctor Pairings
b - SPEED C? !A:N iOTCR SYS:E IN ?FP7 - SPEE OF T!IL RCTOR SiSTE iN :
6 - SPEED CF M AIN R5TCR SYSTEM IN p!8 - 1:HOa: CF MAIN ECTCR BLADE IN FEZT
.XX 6 - SPEED CF IAIN ROTOR SYSTEM IN RPM9 - CHORD CF TAIL ROTC BLADE IN FEET
6 - SPEED CF MlAIN FCTCR SYSTEM :N 02110 - SPAN CE AAIN RCTOR BLADE IN FEET
XX 6 - SPEED OF :3AIN ROTOR SYSTE IN RP111 - SPAN OF TAIL ROTOR BLADE IN FEET
6 - SPEED OF MAIN FOTCR SYSTEM IN RPM12 - TWIST CF MAIN FOTCR BLADE IN DERES.3
XX 6 - SPEED CF :AIN RCTCR SYSTEN :N .RP'13 - TWIST CF TAIL ECTOR BLAZE IN DEGREES
6 - SPED CF M1AIN ROTOR SYSTEM IN FPI14 - PaJFILE DPAG OF !AIN ROTOR ELADE
XX 6 - SPZED OF MAIN ROTOR SYSTEM IN RPM15 - PROFILE DRAG OF TAIL ROTOR ELADE
6 - SPEED OF MiAIN ROTOR SYSTEM IN RPM16 - DISC LOADING OF ThE MAIN ROTOR SYSTEM
XX 6 - SPEED CF MAIN FOTCR SYSTEM IN a9Mc 17 - WIDTH CF Tzi FUSILAGE IN FEET
6 - SPlED OF HAIN ROTOR SYSTEM IN RP A18 - LENGTH OF THE FUSELAGE IN FEET
6 - SPEED CF MAIN ROTCR SYSTEM IN RPM19 - FRONTAL FLAT PLATE AaEA IN SQUARE FEET
6 - SPEED CF MAIN ROTOR SYSIEM IN EPA20 - VERTICAL FLAT PLATE AREA IN SQUARE FFET
6 - SPEED CF MAIN ROTOR SYSTEM IN iPM21 - ,AXINUM 7ELOCITY IN KNOTS
(X 6 - SPEED CF IAIN SCTCR SYSTE.M N RPM22 - MAXIU RANGE IN NAJTICAL MILES
44
4L
• . . . . . _ , . . . - -
_. - RA i. Cr --.- 2B!3 . :: 77" R i.-l.l.UT-EIA.(ZU: CONTINUOU: POWER
- SPEED C? IAIN -OCR SYSTE.1 iN RP.125 - HVE3R CEILING (I ROUND C EEC :)
C6 - SPEED CF ;AIN K0TCE SYSTE.1 IN RP.23 - OV"V CZEI'LING; (CUT OF GOUN FEC.
: F E TI
X 6 SPEED CF :MAIN OTCR SYSTE IN RPM
27 - JEATN G' W -,EE ,3T IlN N D S
6 - SPEED CF :AIN FOTOR SYSTEM IN FP.129 - LOAD AE4 T :' POUNDS
XX 6 - SPEED CF MAIN NOTCF SYSIE.4 IN RP I29 - FUEL WEIGHT IN POUNDS
6 - SPEED CF !AIN FOTCE SYSTEM IN RP l30 - MAXIMUM GiNCSS EIGHl IN POUNDS
4 5
TABLE 11
Speed of Tail Rotor Radis Pdirings
XX 7 -SP--_ED CF -AIL POTCR SYSTEM IN RPM
8 - CHORD CF '-IAIN ROTOR BLADE IN FEET
7 - SPEED CF TAIL POTCR SYSTEM IN RPM9 - CHORD CF TAIL ROTOR BLADE IN FEET
XX 7 - SPEED CF TAIL ROTOR SYSTEM IN RPM10 - SPAN CF M AIN ECTCR BLAZE IN FEET
7 - SPEED OF TAIL ROTOR SYSTEM IN RPM11 - SPAN OF TAIL ROTOR BLADE IN FEET
XX 7 - SPEED CF TAIL FOTCR SYSTEM N RM12 - TWIST OF MAIN iOTC? BLADE IN DEGREES
7 - SPEED OF TAIL ROTOR SYSTEM IN RPM13 - TWIST OF TAIL ROTOR BLADE IN DESR EES
XX 7 - SPEED CF TAIL CTCR SYSTEM IN EPM14 - PROFILE DRAG OF MAIN ROTOR BLADE
7 - SPEED CF TAIL FOTCR SYSTEl IN RPM15 - PROFILE DRAG OF TAIL ROTOR ELADE
7 - SPEED OF TAIL ROTOR SYSTEM IN RPM16 - DISC LOADING OF THE MAIN RCIOR SYSTEM
XX 7 - SPEED CF TAIL CTCR SYSTEM IN RPMI17 - WIDTH CF THE FUSELAGE IN FEET
XX 7 - SPEED OF TAIL ROTCR SYSTEM IN R-18 - LENGTH OF ThE FUSELAGE IN FEET
7 - SPEED CF TAIL ROTC? SYSTEM IN ErM19 - FR ONTAL FLAT PLATE ARE. N SQUA E FEET
XX 7 - SPEED CF TAIL ROTOR SYSTEM IN RPM20 - VERTICAL FLAT PLATE AREA IN SQUARE FEET
7 - SPEED CF TAIL CTCR SYSTEM IN RPM21 - .AX-1UJM VELOCITY IN KNOTS
XX 7 - SPLED CF TAIL ROTOR SYSTEM IN RPM22 - M4AXIMUM RANGE IN NAJI .CAL ILES
XX 7 - SPEED OF TAIL ROTOR SYSTEM IN RPM23 - RATE OF CL IBB IN FEET PER mINUTE,
.iAXPMUM CONTINUCUS POWER
L 6
I'
7 - SPfED CF :A:L I TC? SYs:: IN3.,>-7 HO'r 0 _7 LN3 (IN OUND EFEC:)TN FE E
7 - SPEED CF TAIL ;CTCO SYSTE1 IN EP25 - HCV E CH LING (CUT CF CU N: Z TFECT
IN FE ET
7 - SPED CF TAIL ;GOR SYCTE IN RP26 - :EN7H F THE :TA:EOOAG IN ZEET
7 - SPEED CF TAIL ROTOE SYSTE TN R-127 - OPERATING WEIGHT IN POUNDS
7 - SPEED CF TAIL FOTCR SYSTEI -- -P'N A23 - LOAD WEIGHT IN PCJNDS
X( 7 - SPEED CF TAIL FOTOR SYSIEA. IN TP.29 - FUEL WEIGHT IN POUNDS
7 - SPEED CF TAIL FOTC SYSTEN IN F PM30 - MAXI IUM GCSS ;EIGHT IN POUNDS
47
TABLE 12
Chord of Main Botcr Blade Pairings
8 - CHORD C.' IAIN FOTCR 3LADE IN FEET9 - C0-ORD CF TAI LUR B LADE IN FEr
8 - CF?D CF AIN GTCR BLUE IN F:::1J - SPAE CF AAIN FTC BLADE IN
K X 3 - C ,DRD 7 AI , DLA: E IN F77-711 - SPAN F 0 FAIL RTC. BLADE IN ITz
8 - CHORD 0F ' MAIN RCTC BLADE IN FEET12 - TWIST CF AIN ;GTCR BLADE IN DE0 aEES
XX 8 - CHORD CF IAIN ROTC? BLADE IN FEET13 - TWIST CF 'TAIL FCTC? BLADE IN DEGREES
8 - CHDRD OF '1AIN FOTOR BLADE IN FEET14 - PRDFILE DR AG OF MAIN CTCR ELADE
xx 8 - CHORD CF !AIN R-CTC? BLADE IN FT15 - PROFIIE DRAG O. TAIL ROTOR ELAM
8 - CHORD CF MAIN .O:OR BLADE IN F:-'16 - DISC LOADING ,- THE IAISN ZZTCR SYSTEM
XX 8 - CHORD CF .AIN iCTCR BLADE IN FEET17 - WIDTH OF THE FUSELAGE N FEET
8 - CHORD CF MAIN ROTCR BLADE IN 777718 - LENGTH OF ThE ',SELAE .N 1.'ET
8 - CHORD OF MAIN C?- E BLADE IN19 F RNT.)A FLA PLATE AREA IN 5' " a
8 CHORD CF JAIN FCTCR BLADE IN 7EET0 11 AL FLAT :LAT AREA IN 5 JAR E T
8 - CHORD OF MAIN ROTOR BLADE IN FEET21 - "AXIrUM VELOCITY IN KNOTS
XX 3 - CHORD CF MAIN ROTCR BLADE IN FE rI2 A X IUil PANGS IN NAUTICAL UI'
X.( B - CHOD CF AIN OTCR BLADE IN F T23 - FATE CF CLIMB IN FEET E? .INJ-,mAKIL1UM CONTINUOUS POWER
8 -HORD CF .IAIN ROTC? BLADE IN FE7F24 - HOVE? CEILING (IN GROU ND E FECT)
IN FEET
L' 48
[.-,
[."4
- HCV: 17 F. c (Cjr C l E3J N Z C~.
i: F -- E
- Cij-D O .i. r-CTCi SLADE IN F-77-26 -- : T ;GH f Th CAIlBDQ.C IN SEE:-
- &iD CT -AA:N FC TCE -,BLADE IN F?U-7 027-?AIINT 1E3 HT N PCJNCS)
3 -CH RD 0 F :!AIN FC-CF SLADE !N FEE:12 LjAD WEISE-: :NI POUNDS
CHDR CF MA :N ECTCE SLADE :11 FEET
3-CH3':D CF vAIN FC:CR 31ADE :N FEET.1 A .iX.i ~C SS ' ELJJH: lN POUNDS
TABLE 13
Chord of Tail. Rotor Blade Pairings
CHAX 9 - CHORD CF TAIL ROTCr BLADE IN F-EzT10 - S C F MAi IAN ROTOR BLADE IN FEET9 - CHORD CF TAIL FCTCR =LADE :N FET
11 - SPA. CF TAIl CTO.R BLAZE IN FE -
XC 9 - CHORD OF TAIL OTCR BLADE iN FET12 - TW1 ST OF A. AI RFOTOR BLADE IN 3BBS
S- CHORD CF TAIL OTCR BLADE IN FEET13 - TWIST CF TAIL ROTOR BLAZE IN DEGREES
XX 9 - CHORD CF TAIL 0TCR BLADE E:N EET14 - PROFILE D>AG CE MAIN ROTOR ZLAZE
9 - CHORD CF TAIL ROTOR BLADE IN "FF
15 - PROFILE DRAG OF TAIL ROTOF -LADE
xx 9 - CHORD CF TAIL RCTOR BLAZE IN FEET16 - DISC LOADING CF TE iAIN ROTOR SYSTEM
XX 9 - CHORD CF TAIL BOTCR BLADE IN E17 - WIDTH CF THE FUSELAGE IN FEET
XX 9 - CHORD CF TAIL ROTCR BLADE IN FEET18 - LENGTH CF THE FUSELAGE IN fEET
XX 9 - CHORD CF TAIL FOTGR BLADE IN FEET19 - FRONTAL FLAT 2LATE AREA IN SQUARE EET
XX 9 - CHORD CF TAIL ROTOR BLADE IN FE 7:T20 - VERTICAL FLAT PLATE AREA IN ::7ARE rT
9 - CHORD CF 2AIL FOTCR BLADE it F EZ T21 - MAX!UiM V7ELCCITY IN KNOTS
9 - CHORD OF TAIL R OTOR BLADE IN FEET22 - A!AXI. U RANGE IN NAUTICAL .1:LES
(A 9 - CHORD CF TAIL ROTOR BLADE IN FEET23 - RATE C; CLI.M2 IN FEET PEF .MINUTE,
.AXI MU CONTI NUCUS POWER
H- OHZ, CF TAIL ROTOR BLADE IN EST24 - HOVER CEILING (IN GROUND EFFEC:)
IN FEET
9 - CHORD OF TAIL ROTOR BLADE IN 777T25 - HOVER CEILING (CUT OF GROUND EFFECT)
IN FEET
r j
A KY l :uN p&C BL; 3
S-ciF: C7 :-AIL- OC F. BLADE N FE7Z77
7A -L C2 ?AwC 7E H :N POUND
V A .' -E S Lz a. -7 1 G C SY k) .j.N
TABLE 14
Span cf Main Rotor Pairings
10 - SPAN CF AAN A ROT>. BLAZE IN FEET11 - S AN CF TACL COTOR BLA:E IN FEET
13 SPAN CF IA-N RTR SLAM-)INFEE:S 7 F M A 1iN F C. SvA I N ":3R - - 7_
X( 13 - SAN CF 1A:N : T. BLAZE IN FET13 - -1S: CF TAIL so'-> BLAZE IN ZZ, ZZZ
10 - SPAN CF AlAIN ROTCR BLADE IN FEE:14 - PROFILE DRAG CF MAIN KOTOR BLADE
XX 13 - SPA'N F :AITN CTOR BLAZE > FEET15 - PROFILE DRAG GB TAIL ROTCP LADE
10 - SPAN CF l1AIN ACTOR BLAZE IN16 - DISC CADING %1 -5 lAIN IOT. YS: 9.1
10 - SPAN CF MlAIN ?4C3R BLAZE IN 1>117 - WIDTH OF THE FUSELAGE j FET
10 - SPA N CF MAIN ACTCR 5%A2E IN FEET18 - LEN TH OF THE BUS ELA E IN FEET
13 - SPAN CF IlAIN ROTOR BLADE IN FEET19 - FRONTAL FLAI PLA:E AREA IN SQUARE FEET
10 - SPAN C MAIN RCTR BLAZE IN FEET20 - VERTICAL FLAT -LAIE AREA IN S&JARi FEET
10 - SPAN C MlAIN FOTCF BLADE IN FEET41I - AXI.lUt! VELCCITY IN KNOT.
XX 1) - SPAN CF .AIN RCTOR BLAZE :.7 FEET22 - !A 'I.1UM AiGE IN NAUTICAL ILES
10 - SPAN CF PAIN RCTOR BLADE IN FEET23 - RATE CF CLIMB IN HE- D-R .IINU TE,
m AXI-1UM CONTINUOUS POWER
13 - SPA N CF MlAIN RCTOCR BLADE IN FEETHOV 7R CEILING (IN GROUND :E:ECT)IN FEET
10 - SPAN CF .lAIN ROTCR BLAZE IN FEET5- .. OlER CEILING (CUT OF ROUND EFFECT)
lI FE ET
10 - SPAN CF .1AIN RCTOR BLAZE IN FEE:26- LENGTH OF THE TAILBCOM IN FEET
52
I0 - P .IARS F CC- flATE IN Fu:7- PA:N s3~ :S C-ND
E - SPAN OF . AIN CC C A D N F-N28 - -3 - w--_3.u i' POUNDS
x.: 1N - S A 1 CF AIN FC C BLADE '2 - -] L -- 3b i i C J D 5
1 - SP.N CF I:I RATC? -LADE A N ?U7T10 - jAXTAU 3 .SS NEIS? i PCUNDS
5 3
.4.
It11 -SPAN Cy TIL ROTR BLAZE I FEET I
2 - 1STan of AAI OT L N Tai? IFS P3i-i-gs
11 - SN CF TAIL R FTC? BLADE IN FEET13 - 7:IST 6F TAIL ROTC BLADE " DEGRES
11 - SPAN CF TAIL ICTO= BLAZE IN FEET14 - PROILT DRAG CF MAIN ROTOR BLADE
11 - SPAN OF TAIL RCTOR BLADE IN FEE-15 - PRDFILE DRAG DF TAIL ROTOR BLADE
11 - S?AN CF TAIL RCTOR BLAZE IN FEET16 - DISC LOADING OF TALE AOTh ROR SiS7'
x 11 - SPAN OF TAIL RCTO BLADE IN Ft'E17 - WIDTH OF T OHFUEAIN FEE T SE
XX 11 - SPAN CF TAIL RCTC BLAZE IN FEET18 - LENGTH CF THE FUSELAGE IN FEET
11 - SPAN CF TAIL RCTCR BLAZE IN FEET19 - FRON TAL FLAI -LATE AREA IN Z.QUARE ET
11 - SPAN CF TAIL ROTOR BLADE IN FEET29 - VERTICAL FLAT PLA1E AREA IN SQUARE FEET
11 - SPAN CF TAIL ECTC BLADE IN FEET,1 - . X IAUM VELOCITY IN KNOTS
KX 11 - S EA N OF TAIL ROTOR BLADE IN22 - .AX IU M RANGE IN NATICAL MI-ES
XX 11 - SPAN CF TAIL SOTOR BLAZE IN FEET23 - RATE OF CLIMB IN FEET PER INJTE,
A AXIMUI CONTINUOUS PO.ER
11 - SLAN CF TAIL OTOR BLADE IN* 2 - HOV ER CEILING (IN GROUND EFFECT)
IN FEET
11 SPAN OF TAIL .CTO, B LADE I N FEET25 - HOV ER CEILING (CUT OF GROUND EE:
IN FEET
11 - SPAN CF TAIL CTOR BLADE IN 777726 - LENGIH OF 'IE TAILBOGOM IN FEET
4 S
11 - SPAN CF TAIL EC-IB L'A:E :N FE77727 - O)PEATING INJ5 POUNDS
1 r - SPN CEF TAI EC% LTA ZE I N 7-E28 - LO3AD WEJ? I C'NDS3
XX 11 - S PAN Ot F ':AIL.7 C':T? SLADE IN FEE:29- FUE WEH 13 POUNTSi2 11
11 - SP2ANJ CF :AIL zECICS %A: IN iEUT3D - .A&:IiUM GROSS -:J,h: II'POUND
55
TABLE 16
Twist of Main Rotor Blade Pairings
12 - T:IS: CF M AIN ;CTCR BLADE IN -E-ES13 - TWIST CF TAIL R0 T- BLADE IN £.R -:-S
12 - :T:ST CF MAIN FCTCR BLADE IN ::GR EES14 - PROF.EM DRAG CF MAIN ROTOR ELA-E
X' 12 -1 IST OF IJAIN OTCR BLADE 7N LIa15 - RD FILE DZAG E TAIL ROTOR =ELADE
12' - TWIST CF MAIN FOTCR BLADE IN LEGR EES- DSC LOADING OF THE MAIN RCTC SYSEi
Xx 12 - TWIS' OF !AIN ROTCR BLADE IN DEGREES17 - WIDTH CF THE FUSELAGT IN FEET
XX 12 - TWIST CF T1AIN EOTCR BLADE IN DEGREES18 - LENGTH OF THE FUSELAGE IN FEET
XX 12 - TWIST CF :AIN FOTCR BLADE IN LEGREES19 - F2ONTAL FLA PLAT2 AREA IN SQUARE FE-IT
Xx 12 - TWIST OF MAIN ROTGF BLADE IN DEGREES20 - VERTICAL FLAT FLATE AREA IN SQUARE FEET
12 - TWIST CF MAIN EC-CR BLADE IN DEGR EES21 - AX IMU M VELOCIiY IN KNOTS
XX 12 - :WIST CF MAIN FOTCR BLADE IN DEGREES22 - IAXI'IUM RANGE IN NAUTICAL MILES
XX 12 - TWIST OF '1AIN ROTOF BLADE IN DEGREES23 - RATE CF CLIM B IN FEET PER MIN=:E,
'JAXIUM CONTINUCUS POWER
XX 12 - TWIST OF MAIN ROTOR BLADE IN EG RE ESS24 - HCV7E CEILING (IN GROUND EFFECT)
iN FEET
(X 12 -TWIST CF :AIN ROTOR BLADE I N DEGR EES25 - HOVER CEILING (CUT OF GROUND EFFECT)
XX 12 - T.ST CC'AIN ROTCR BLADE IN DEGREES26 - LENGTH CF THE TAILBDOG IN FEET
XX 12 - TWIS! OF MAIN FCTCR 3LADE IN DER EES27 - OPERATING WEIGHT IN POUNDS
XX 12 - TIST CF IAIN ROTGE BLADE IN DEGREES28 - LOAD WEIGHT IN POUNDS
XX 12 - T4ISI CF MAIN .OTCR BLADE IN :3 REES29 - FUEL WEIGHT IN POUNDS
Xx 12 - TWIST CF MIAIN FOTCR BLADE IN L EGRES30 - .'_AXI. U, GiCSS WEIGHT IN POUNDS
4 S! I
TABLE 17
Twist of Tail Botor Blade Pairings
X( 13 - TWIST CF TAIL FCTCR BLADE IN DEGREES14 - PPCFILE DRAG Of AAIN ROTOR ELADE
13 - TWIST CF TAIL POTCR BLADE IN DEGREES15 - PROFILE DRAG C TAIL ROTOR ELADE
XX 13 - TWIST CF TAIL ROTCR BLADE IN DEGREES16 - DISC LOADING OF THE MAIN RCTOR SYSIE-
XX 13 - TWIST CF TAIL FCTCR BLADE IN DEGREES17 - WIDTH CF :HE FUSELAGE 1N FEET
XX 13 - TWIST OF TAIL ROTCR BLADE IN DEGREES18 - LENGTH OF THE FUSELAGE IN FEET
AX 13 - TWIST CF TAIL EOTCR BLADE IN ZEGREES19 - FRONTAL FLAT PLATE AREA IN SQUARE FEET
XX 13 - TWIST OF TAIL ROTCR BLADE IN DEGREES20 - VERTICAL FLAT ELATE AREA IN SQUARE FEET
XX 13 - TWIST OF TAIL ROTOR BLADE IN DEGREES21 - MAXI:NUM VELOCITY IN KNOTS
iX 13 - TWIST CF TAIL EOTCR BLADE IN DEGREES22 - .AXIMUM RANGE IN NAUTICAL MILES
XX 13 - TWIST OF TAIL POTOR BLADE IN DEGREES23 - RATE O CLIMB IN FEET PER MINUTE,
MAXIMUM CONTINUCUS POWER
XX 13 - TAIST CF TAIL ROTOR BLADE IN DEGREES24 - HOVER CEILING (IN GROUND EFFECT)
IN FEET
XX 13 - TWIST OF TAIL ROTOR BLADE IN DEGREES25 - HOVER CEILING (CUT OF GROUND EFFECT)
IN FEET
XX 13 - TWIST OF TAIL ROTCR BLADE IN DEGREES26 - LENGTH OF THE TAILBOOM IN FEET
X9 13 - TWIST CF TAIL FCTCa BLADE IN LEGREES27 - OPERATING WEIGHT IN POUNDS
XX 13 - TWIST OF TAIL ROTOR BLADE IN DEGREES28 - LOAD WEIGHT IN POUNDS
XX 13 - TWIST CF TAIL ECTCR BLADE IN DEGREES29 - FUEL WEIGHT IN ECUNDS
13 - TWIST CF TAIL ROTOR BLADE IN DEGREES30 - MAXIMUM 3RCSS WEIHT IN POUNDS
57
S .- - - -.-. .
TABLE 18
Profile Drag of lain Botor Blade Pairings
14 - PROFILE DRAG OF MAIN ROTOR ELADE15 - PROFILE DRAG OF TAIL ROTOR ELADE
14 - PROFILE DRAG CE .AIN FOTOR ELADE16 - DISC LOADING CF THE MAIN ECTOR SYSTEM
XX 14 - PFDFILE DRAG OF M 1N ROTOR -LADE17 - r:iDTH OF THE FUSELAGE IN FEET
AX 14 - PROFILE DiAG CF MAIN RCTOR ELADE18 - LENGTH OF THE FUSELAGE IN FEET
XX 14 - PROFILE DRAG OF MAIN ROTOR ELADE19 - FRONTAL FLA! PLATE AREA IN SQUARE FEET
XX 14 - PROFILE DRAG CF MAIN ROTOR ELADE23 - VERTICAL FLAT PLATE AREA IN SQUARE FEET
14 - PROFILE DRAG CF MAIN ROTOR ELADE21 - MAXIMUM VELOCITY 1N KNOTS
XX 14 - PROFILE DRAG OF MAIN ROTOR ELADE22 - IAXIAUM RANGE IN NAUTICAL MILES
14 - PROFILE DRAG Of MAIN ROTOR ELADE23 - FATE CF CLIMB IN FEET PER MINUTE,
MAXIMUM CONTINUCUS POWER
14 - PROFILE DRAG OF MAIN ROTOR ELADE24 - HOVER CEILING (IN GROUND EFFECT)
IN FEE7
14 - PEOMIlE DRAG CF MAIN ROTOR ELADE25 - HOVER CEILING (CUT OF 3ROUNL -FFECT)
IN FEET
X& 14 - PROFILE DRAG CF MAIN ROTOR ELIDE26 - LENGTH OF THE TAIZBOOM IN BEET
14 - PROFILE DRAG OF MAIN ROTOR SLADE* 27 - OPERATING WEIGHT IN POUNDS
14 - ?L;OFIL= DRAG SF MAIN ROTOR ELADE29 - LOAD WEIGHT IN POUNDS
XX 14 - PROFILE DRAG OF MAIN ROTOR ELADE29 - FUEL WEIGHT IN POUNDS
14 - PROFILE DRAG OF MAIN ROTOR SLADE30 - !AXITUM 3ROSS ;EIGHT IN POUNDS
I 5U
TABLE 19
Profile Drag of Tail Rotor 3laije Pairings
XX15 - PRFLF' DR'AG CF TAIL ROTCF zFLAX16 - DIS LADIN 3 OF THE ?A iN Roc'OR SFiS':f
A15 - PRMED;AG --- TAIL ROTOR ETLD17 - E-DT CF1 AEI F EE
*15 - PRO FILE DR AG CF T-AIL- ROTOR FLAD18 - LENG41TH CV- THE FUSELAGE- IN1 FEET
X X 15 - PROFILE D RAG' CE TAIL ]ROTC? FLAX--19 - FRON,'TAL FLAT 'IPLAT E AREA IN4 SQUAREZF E
X X 15 - PR; FI':LE DRAG OF TAIL ROTOR FL-AX)20 - VE-4RTI CAL FL--AT PLATE AREA IN SQUAR EFE-
15 - PRFILE 1 DRAG CF TAIL ROTOR ELADE21 - "I~U VE u7LOC:IY IN KNOTS
XX 15 - PROFL DRAG OF TAIL ROTOR FLADE2 2 - MA XIiU M RANGE IN NAUT ICAL MILE-S
15 - PRO0 F!IL.E DR;AG OF TAIL ROTOR ELADE*23 - R-A TE OCF CL IME IN4 FEET PEP, 1INUTEr
MAXI MU. CONTINUOUS POWER
15 - PRn FL E DRAG JF TAIL ROTOR FLADES- 527ER ELN (IN GROUNDEFCT
:'I F EE--T
15 -PR FLE DR.AG CETA"L ROTOR ELAJE* cOV? EIIN (CU':O RUN FET
15 -3 R7ILE DRAG 0-F TAIL ROTOR ELADE- LNTH OF THE TAILBOM IN F
15 - PFILE DRAG OF TAIL ROTOR E -27 - OPER_7A TING i -13HFT IN1 POCUNSDS
15 - P. FLE D EAG O F -AIL ROTO 0R F-LAXD28 - LOADL WEIG.hT 1i POUNDS
XX 15 - PRO-FILE DRAG CF TAIL RIOOR FLAX29 - FUE ~I GH IN POUC JN DS
15 - PRFI7LE- DRAG CF TAIL ROTOR FL-AXD*30 - MIAXIM1UM ;iOSE 7EIGHT IN1 POUNDS
-' ~ ~ . .' .~ . 7-. 7-7-77- - i7
TABLE 20
Disc Loading of the Main Rotor System Pairings
16 - DISC LCADING CF -HE 1AIN ECIO, SYSTEM17 - WID:H CF :HE FUSfLAGE IN FE
16 - ',ISC LOADING OF THE !AIN RCO SiSTL10 - LENG:H OF THE FUSELAGE IN FEET
16 - DSC ICADING CF TEE .IAIN RCTCR SYS-EM19 - F.O1TAL FLAT PLATE AiZA IN SQUAE
16 - DISC LOADING OF THE MAIN ROO SYSTE20 - VERTICAL FLAT PLATE AREA IN SQUARE EET
16 - DISC LCADING CF THE MAIN ROTOR SYSTE:M21 - AAXIMUM VEICCITY IN KNOIS
16 - DISC LOADING OF THE MAIN RCTOR SYSTEM22 - iAXI MUM RANGE IN NAUTICAL IILES
lb - DISC LOANING OF THE MAIN RCTOR SYSTEM23 - RA!E OF CLIMB IN FEET PER MINUTE,
.lAXIAUM CONTINUCUS POWER
1b - DISC LOADING OF THE 14AIN RCTCR SYSTEM24 - HOVER CEILING (IN GROUND EFECT)
:N FEET
XX 10 - DISC LOADING OF THE .AIN RCTOR SYSTEM25 - HOVER CEILING (CUT OF GROUND EFFECT)
IN FEET
X K 16 - DISC LOADING OF THE MAIN ROTOR SYSTEM26 - LENGTH OF T HE TAILSOM. IN FEE:
XX 16 - DISC LCADING OF THE LIAIN ROTOR, SYSTE.27 - OPERATING 'EIGHT IN POUNDS
XX 16 - DISC LOADING OF THE MAIN RCTOR SYSTEM28 - LOAD WEIGHI IN POUNDS
XX 16 - DISC LCADING OF T'E JAIN E OTR SYSTE'I29 - FUEL 3:3HT IN FOUNDS
16 - DISC LOADING OF THE MAI. zCIOF SYSTEM30 - '!AXIMUM GROSS WEIGHT IN POUNDS
. . S
TABLE 21
Width of the Fuselage Pairings
17 - WIDTH CF THE FUSELA3E :N FEET18 - LENG:H CF THE FUSELAGE 'N F-ET
17 - W-DTH CF THE FUSELASE IN FEET19 - F.ONTAI FLAI M!ATE AREA TM SQJA2E FEE-
17 - 4IDTH OF THE FUSELAGE IN FET20 - VERTICAL FLAT PLATE AREA IN SQUARE FEET
17 - WIDTH CF THE FUSELAGE IN F=-ET21 - MAXIMUM VEICCIY IN KNCTS
Y.X 17 - 1IDTH CF THE FUSELAGE IN FEET22 - .1AXIIUm RANGE IN NAUTICAL ILES17 - WIDTH CF THE FUSELAGE IN FEET23 - FATE OF CLI.MB I.,. FEET PER 1INUE,
%AXI'iUI CONTINUCUS POW R
17 - WIDTH CF THE FUSELAGE IN FEET24 - HOVER CEILING (IN GROUND EFFECT)
IN FEET
17 - WIDTH CF THE FUSELAGE IN FEET25 - HOVER CEILING (CUT OF GROUND EFFECT)
IN FEET
17 - WIDTH OF THE FUSELAGE IN FEET26 - LENGTH OF !HE TAILBO0O IN FEET
17 - WIDTH CF THE FUSELAGE IN FEET27 - OPERATING hEIGH IN POUNDS
17 - WIDTH CF THE FUSELAGE IN FEET28 - LOAD WEIGHT !. POUNDS-17 - WIDTH CF -HE FUSELAGE IN FEET29 - FUEL "WEIGHT IN PCUNDS
17 - WIDTH OF THE FUSE=LAGE IN FEET30 - 1AXIUM 3GECSS EIGHT IN PCUNDS
ci
TABLE 22
Length of Fuselage Pairings
18 - LENGTH OF THE FUSELAGF IN FET19 - FR!TAL FLAT PLAT: AREA RI UARE FE:
18 - LENG3TH CF TE FUSELAGE IN BEET20 - "IE-TICAL FLAT LAE A;EA :N S&JAFE FEET
13 - LENGTH OF THE FUSELAGE RIN fEET21 - MAXIMUM VELOCITY !N KNOTS
18 - LENGTH OF THE FUSELAGE IN BEET22 - '!AXIUM RANGE IN NAUTICAL MILS
18 - LENGTH CF THE FUSELAGE IN FEET23 - RATE CF CLIMB IN BEET PER iINUTE,
.'AXIMUN CONTINUOUS POWER
13 - LENGTH OF THE FUSELAGE -i FEET24 - HOVER CEILING (IN GROUND EFFECT)
1N iEET
19 - LENGTH OF THE FUSELAGE IN FEET25 - HOV :R CEIL>IG (CUT OF GROUND EFFECT)
IN FEET
18 - LENGTH OF THE FUSELAGE IN FEET26 - LENGTH OF THE TAILBO0. IN FEET
18 - LENGTH OF THE FUSELAGE IN fEET27 - OPERATING WEIGHT I POUNDS
18 - LENGTH OF THE FUSELAGE IN :EE:23 - LOAD WEIGHT IN POUNDS
XX 18 - LENGTH OF THE FUSELAGE IN fEE"29 - FUEL WEIGHT IN P OUNS
18 - LENGTH OF THE FUSELAGE IN FEET30 - YAXIMUM GROSS WEIGHT IN POUNDS
0
62
S , . "'
TABLE 23
Frontal Horizcntal Flat Plate Area Pairizys
19 - FROGNTAL' FILAT FLAT:- A-REA IN SUARE FE20 - VERTZICAL FLAT FLACKE AFEA TN U-ARE FEE
19 - :7FF0 NTA F1L77AT PL1ATE, AREA IN cQUARE FEE:-21 - IA:(I:IUNJ vEHcC-TLY I.N KNOTS
19 - FRO NTAL F-LAT PLATE AREA IN SQUARE FEET-22 - 4AX IM U RANGE IN NAUTICAL :LE
xx19 - FRONTA FL:,AT PLATE A1RE IN SQUAREFE23-) RA T E OF CLD IM N FEET PEE MrNU--T2,
:IAX IM 0% CONTIHUOUJS POWE-R
4 X 19 -- RNTAL FLAT PLATE AREA IN4 SQUARE FEE24 -6 HVER, CEILING -(IN G-ROU3D F E-CT)
K.x 19 -FRON'TAL FLA T PL ATE A REA INI SQUAR E FEE25 -HOW VE CEIL ING (CUT OF GEOU NZ EFFECT)
IN; F --ET
Xx 19 F FRONITAl FLA T PLACEF AE EA !I SQUARE F EEZT26 - LE-:NGIE OF THE TAILBOON IN !EB:
19 - FRONTAL FLAT PLATE ARE-A IN SQUARE FEE-T27 - OP- ERATING WEIGHT IN POUNDS
19 - ERG "NTAL FLAT PLATE- AREA IN SQUARE- F EET7£28 - LOA-D 'EIG HT I-A POUNDS
K X 19 - FRONCIAL FL.AT PLATE IREX IN SQUAhRE r Z.Z29 - "FUEL W EIGHT !1f POUNDS
19 - FROJNTALT FLAT FLATEB AREA IN SQUARE- F ET30 - ! AXIi1U, GROCSS W4EIGH: IN1 POUNDS
63
TABLE 24
FIrcrltal Vertical Flat Plate Area Pa .1ri 4 s
S -
-- v>:L AL : :LATE .A 7A 7EJAE
*~ N.. Iz J. A. A -E: ~ A N ~7A: C -1 N F7-- : 1: :,-
YJ 7 1 'C' A 7 A iA-- Ai.EA !N St&JAF F~- uI F :NG (N JRCU 4D F~
.~~~~~~ :9 1 ;z:CL?::~AEA: N S,-JARLL Hc~ P-.; i AN - cJ ,D R N z F
X 9 X 'i T:CAL ~LA: T E'A: AF:A I N* S QUA E
"17- -. CAL FLAT .4 7r A F EA IN S, EJAE I
(X A -v:c LA- LA--- AREA IN SQ JAR HFE T
X29 7 :i-:CA L FAT :LATE A2:-A IN SJJAEEFR- ~A; 1 'R3 H :.ITPC2CUN
10
b4
TABLE 25
maximum Forwar- Yelocity ?airinjs
21 - MA'(: :AM V7 LCC::-Y -N K14JTSU- AA1.1 TjU RANGE :A~ NAUTICAL M :-' 7
21 - M~AX:: UM CC:TY IN KNO-LS23 - RA: 0F C LT 1 S:N F E E R M:NU:,7
:IA. ' MJ M C C N'! ,;US P3ow ---
21 - A X IM UM 'v:7=cc:Y :N 0NT4- H DVE C N G (IN OROU ND E FF C:7)
21 - 11IX :1 U~ v: LOcI:Y :N~ KN6S5- H 3V ER C71 :ING (Cu: ')F OEROJNZE-u7EC:-)
XXK 21 - MA K 1 UMELOCCITY IN : No:s6 . G:H C' THL -A- TPODo NF
-1 M~ U M V L C C: 7~ .1 -327 -0 2 FA I N G 1E3 H N PO0U " nDS
21 - k -I~h VELCCIUY IN KNOTS28 -~ WE3PT I, POUNDS
XX 21 - AX1 V-LCC:TY :3r KJCTS29 - JE-7 ' HIGHT IN Pculms
21 - AA:.~VEz*LGCTY TN KNOTS3- IAXI UM 3RcS3 'AEIGH: :I' POUND)S
TABLE 26
faximum Range Pairings
7- :A.(TAUM RANGE IS NAUTICAL TS23 - RAIEo GB 2IMB IN -E7 PER M71U-7
.,'A.(IMULM CCONTIN UCOS PC PE
X22 - MAK(I IIU RANGE IN NA.U-:CALr :T 724 H iC VE E C I L :NG (: N GR C'I: D ZFf vEC:1
EN FET
X 2 I :A 'C M U' A NGE -- 1N NAUTICAL M!ILES23 -1 '1 r- R C 11LINSG (CU: CIF 3RCUNEEFCT
'(X 22 MAXMU RANGE IN NAJUTICAL M iLE SK26 -ENG:F OF :HE TAIL2 T N no0,E1
2 - "AKIM~UY RANGE T N N A JTI C A 7 7 527 - ~EAIOWEIGHIT :.1 PoUNDS
22 A :1XM UN RA NG E IN' NAJTICAL' 'jIL529 - LOCAT- WEIU;HT L i POUNIDS
U- MlAXIU Fiu ANGZ I' JAATICAL ~IIZ
22 - IA C::Iu' U . NE TN NAUTICAL MI 7S3J - A:Iui A,: N: N PCUND.5
b50
TABLE 27
Rate of Climb PairinasI
2 - R AE CF C- !ME I zz.:- D-ER :N7:'AA.., U :c NT:N"UCUS ?' E
-4 HC7ERz~N (IN GOFJoI: EF IFC:
D , - j I;
25 jV EFR CII LI NG (CUT '0F JROUjNEr E:
23- AT E O F CLM IN FEEVT 2E R TNU:EMA"'I .1U J CONTINEJOUS -CO;iER
2c- - i1 i OF HE: AI..300 1\ F EE T
3 - RA CE CL I!S INFETERINEiI M U N COINTINUCUS pE
27 C? cpATING WEIGH]T IN POUNDS
3 - F C crl1 IN FEET PER M-INjT.1 A 1U 1 CONTI:NUC1US POWERa
28 -J,,AD WEIGHT IN POUNDS
3 - A.E CFO~ NFEET 2PEFE1 MiN UTE-M u m c --~I~hU ?OuER
29 - LwEiG:-U IN ?OEJNDS
23 -RAT Z CF CLIMB IN FETPER LA Nr-1MA X I M " ONTINUCUS POWER
30 - X I U9 M 3CSS EIiIN POUNDS
TABLE 28
C Hover Ceiling (IGE) Pairings
24 -O -OJR CEILING (IN GROUNDj EFFEC:)
2'5 - ii7--E CEILI:NG (CUT DIV 3ROUNZ EFFECT-)Ill FE ET
Z x24 H C', VER CEI LI1NG (I N G.ROUNJllD EV"zFE7CT)
26 L LT-,'' C :dE -A:S-OOM IN FEET
24-':' - OEiCIING (I GF OU ND -FFiECTIN EET 7
-7 - PEPA:I-. EIGHT IN POUNDS
22 4 H - OVE C -"'rL I NG ( IN G RO0U 'ID E F FECTZ) 9
23-LOAD WEIG1HT IN POUNDS
IC~ 4- OVCEILDIG (IN GRCGUNL EF 7C:)
2;-F77L WEI'3HT IN POUNDSH .YIR CE IIN G (I3aCU'I EFEQ
.32 A A'I M .UM G tuS 'iEUi 7 1.1H : POUNDS
TABLE 29
Hover Ceiling (OGE) Pairiags
(I 25 -iHO'--i CEIING (CUT OF 3RO NE EFFECT-)I.727 -i H '-_--
... A LE-OCA IN ; ::
25 - HOITU CE-I ING (CUT OF GROU ND EFECT)
27 - OPEFATIN3 WEIGHT IN POUNDS
25 - HOV ER CE I1NG (CUT :F 3RdOND IE CTN
28 - ,, AD IH T! UNDS
XX 25 - HCV-? CEILING (CUT OF 3ROUND EFFECT)IN; FEET29 -FEL 'El3IGH: : CUNDS
25 - HC E'- CElL ING (CU:OF ] ,OUNE E?7EC)N F
30 - 3AXI UM GRCSS W-IG N. POUNDS
TABLE 30
Length of Tail Pairings
16 .... ..F --
6 - LENG H CF THE TAIL90 IN FET
43 - LEAD WEIGHT I , POUNDS
6 - LEN:GH I TILBOOM IN FEET29 - FUEL WEIGHT IN PCUNDS
2 - LE1.GTH CF THE AILEO.:1 IN FEE:33 -
7 IMUJ 33053 WEIGHT IN POUcNDS
b7
S
TABLE 31
Operating Veight Pairings
27 OPERA TING WE: 24 2DUNDS28 - LCAD !EIGHT IN PCUNDS
27 - OPEPA-lI N :_iGHT IN -CUN-S29 - 1'77L WEIG.HT IN POUNDS
27 - OPERATING WEIiHT IN POUNDS30 - AXI!U:i GRCSS AEIGJT IN POUNDS
4TABLE 32
Load Weight Pairings
28 - LOAD WETGHT IN PCUNDS29 - FUEL qEIGHI IN POUNDS
23 - LOAD WEIGH- IN POUNDS30 - A.(IMUM 3RCSS WEI3HIi IN POUNDS
(!
TABLE 33
Fuel Weight Pairings
29 - FUEL 'WEIHT IN PCUNDS30 - .AXI1Uh ,ROSS WEIGHT IN POUNDS
*1
8I
600
fz 00 c
C.,
z .-
0- 0
CLC
LU-00
0I 0
(VUUd) Q133dS UOIOH NIVV4
U
S 07
Pg
00
o)LU
o 0 0
(Y44ki) Q33dS HOIOIU NIVVN
Fig. -t dnd 1-ob.
--. - r - . -- - - -. -. - - -- - - - -
a0
< en0L
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AD-A i52 034 DETERMINATION OF QUANTITATIVE RELATIONSHIPS BETWEEN 4/4SELECTED CRITICAL HELICOPTER DESIGN PARAMETERS(U) NAVRLPOSTGRADUATE SCHOOL MONTEREY CA R S PETRICKA SEP 84
UNLLESSIFIED F/6 1/3 L
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APPENDIX D
FCRTFAN AND HEWLETT PACKARD C03PUTER PRO2A1S
A. 'CRVFIT' (DETERMINATION OF CURVE FIT EQUATIOS3) HP
PFOGEAM
This program will determine a cuive of best fit tu aset of data points. Tne tour standard curve types the
program handles are:
1. Linear y - bx + a
2. Exponential y - aiesv tx0)
3. LogarithmIc y- bLn(x) + a
b4. Power y - aox (4>0)
The program will compute the coefflclents a and b In
the equation of one of the above tour curve types
as well as copute a value r2
called the coefficientof determinatlon which Is a measure of the goodness of
fit. Once a set of data has been fit to a given curve
type, a prediction may be made for the y-value given anew x-value, or a prediction may be made for the
x-value given a new y-value. Ine tunctlons available
on The top row of Keys on the keyboard are Indicated
In the following diagram.
These same functions are referenced In the exairples
and InsTructions by enclosing tie name of the function
on the key In square brackets [ 3.
Examle 1: Find the straight line which best fits the
tiiowing data:
(1.1, 5.2), (4.5, 12.6), (8.0, 20.0),(10.0. 23.0), (15.6, 34.0)Then predict y when x20 and predict x hen y-25.
oAl "C"JFhQ . Into the 41C and SIZE 027. GTO
"CVF" and go into USER mode. This puts the program
counter In ROM and makes the curve fit functions
available on the top row of Keys. Pressing
[INITIALIZE] .111 Initialize the program. This clearsregisters RII thru R24 so that a new set of data may
be entered. In this example the 5 data points will be
entered using the [ E+] key. Key In each pair as
SENTERt y and push [ 1:.].
I L _ ..-- . . . .. ,,. ..,, , . ..-". . . . . - o ; , . . • . "" " . .• . .
I
Do: See:
[INITIALIZE) 1.0001.1 ENTERt 5.2 C 2.00004.5 ENTERt 12.6 C E+] 3.00008.0 ENTERt 20.0 El 4.000010.0 ENTERt 23.0 E+ 5.000015.6 ENTERt 34.0 [ E+3 6.0000
All the data has now been entered and the parametersfor the curve will be computed next. Since In thisexample we are Interested In a straight line we Key I
(J11) and push [SOLVE TYPE J3. When execution stos
the values a, b, and r are available In the stacK as:
Z. r and are albo stored as R08, bYa a R091 aX: b RIO. r
for this eAamplel
Z: r-0.999055140.': a3-.499147270x: b1 .972047542
The value r ranges between -1 and 41 and Is a measureo0 how well the data fits the given curve type. Thesign ot r indicates whether tne Oata is Positlvely ornegatively skewed. The closer r Is to one of theextremes ±1 the better the tit. For this example theline has positive slope and the fit Is extremely good(all sample problems seem to work veil).
Having computed the values b and a (these remainstored in ROB & R09 until new data Is Input) we candetermine new points along the line. Key In 20 andPuSh Cy ] for the predicted y-value. y-42. 9 4009811when x-20. Key in 25 and push [ x J tor the predictedx-value, x,10.90280649 when y-25 .
COMPLETE INSTRUCTIONS FOR 'CVF"(Keyboard Operation)
1) Key GTO " , SIZE 027 and go into USER moos.The keyboard functions should now be now available onthe top row of Keys.
2) Press [INITIALIZE] to Initialize the program.T his step clears data registers RI1 thru R24Inclusive. These registers will be used to accumulatethe data for all- tour curve types. The display willShow I.
342
4
0
3) Key In the next data pair (x,y) as x ENTERt y
and push I Z +3. Repeat this step for all data pairs.Ine display will stop with a count of the numoor of
the next data pair to be entered. This feature maues
It possible to enter only the y-values when tre
x-valueS are consecutive Integers which start counting
from 1. In this case tne display provides the
x-values whiC h need not be entered. It an Improper
data paIr has Just been input wIth the C Z +3 Noy, then
I mmedlately pressing R/5 vii delete the pair.
Otherwise an Improoer or undesired data pair can be
deleted by re-entering both x and y and pressing
C r-3.
4) As data pairs are entered It I possibie that so
x or y value Is negative or zero. In these cases only
one or two of the tour curve types may be applied to
the data. The tour curve types and their respective
equations are as tollows:
Type J Na me Eouatlon
I Linear y b*x + a
2 Exponential y a so*b x
(a)O)
3 Logarit ic y b*Ln(x) + a
4 Power - y afxb (&)0)
If any x-values are negative or zero then only types I
& 2 are feasible curves. It any y-values are negative
or zero then only types I & 3 are feasible Curves. it
In any data pair both x and y are negative or zero
tnen type I Is the only feasible curve. The a
Coetlclent must be positive tor curve types 2 and 4.
5) After 3Ii data pairs have been Input the next step
IS to select the desired curve type. This step can be
eccoaplished In one of two ways. Under either optlon.
the 4IC should not be Interrupted or else there Is a
possibility that the data registers will not be
returned with their normal contents.
a) To fit a particular curve tyoe. key In the
number 1-4 for that type and press [SOLVE TYPE J].The stack returns with:
Z: r and these parameters R07: J-curve type
Y: a remain stored In R08: b
Xt b R09: a
RIO: r
Step a) may be repeated at any time for any of the
four curve types.
343
b) If all data Input Is positive then pressing[SOLVE BEST)3 w IlIl automatIca I Iy Choose the Curve ofbest f It accord Ing to the Curve type w Ith Ilaroestaosolute value of r. in this case the stack returnsWIThI
Tt r and these Parameters P07: J~curve type
Za remain stored In R08: b
Y: b R09: aX: J~oest curve type RIO; r
6) Predictions for new x or y values may be mace onlyafter Step 5) has been com~pleted. Predictions for newval ues are based on the sett Ings of flIaas F08 and F09which are automatically set during the fit Process instep 5). The status of flags 8 and 9 for the fourcurve types are as follows.
Flag a Flag 9
1 Linear clear clear2 Exponential set clear3 Logarithmic clear set4 power set set
In ceneral the user need not be concerned with theseflag settings, and F08 and F09 are not avalible forother use and must not be disturbed. To predict ygiven X, key In x anEress E ; 3. To predict x givenY. key In y and press ; 3 .*In both cases thePredicted value Is left In the X-register.
7) New data may be added or deleted at any time viathe C I*] Or C Z -3 keys. However. Step 5) must beoerformed after Updating the data before any newPredictions can be made using step 6). The parametersI and b are automatically destroyed after Input ct new
0 data.
*9
344
81.LBL *CVF" 51GTO $6 181 ST- 07 151 EtX82 XEQ e 52#LBL B 182 RCL 10 152 RTH83 GTO IND 06 53#LBL 82 183 RCL 09 153#LBL D@4*LBL A 54 CF 88 184 FS1 88 154#LBL $4
@S.LBL 0I 55 CF 89 185 EtX 155 FS1 888 CF 18 56 STO 87 186 STO 89 156 LN@7#LBL $6 57 2 107 RCL 88 157 PCL 098$ STO 89 58 XYI 188 RTN 158 FS1 08
89 X(>Y 59 SF 89 18Q9LBL 18 '59 LN18 STO 88 68 / 118 RCL 11 168 -II ZREG 13 61 FRC III X(> 17 161 RCL 88
12 FC1 18 62 X=01 112 STO 11 162 /13 E+ 63 SF 88 113#LBL 13 163 FS1 8914 FS! 10 64 8 114 RCL 21 164 EtX15 5- 65 ST+ 87 115 X(> 15 165 RTN16 RDN 66 XEQ IND 87 116 STO 21 166#LBL eI RCL 88 67 RCL 17 117 RCL 22 16'.LBL 881 ENTER? 68 RCL 13 118 XC/ 16 168 CLRG19 X)8 69 RCL 15 119 STO 22 169 SF 2728 LN 78 STO 89 12@#LBL 89 178 E21 ST* Z 71 ' 121RTN 171 PTN22 RCL 89 72 RCL 18 1".LBL I1 I72LBL E23 Vg? 73 / 123 RCL 12 173#LBL 8524 LN 74 - 124 X0 17 174 .25 ST* Z 75 STO 18 125 STO 12 175 STO 25
26 XOY 76 RCL 14 126*LBL 14 176 427 ZREG 19 77 RCL 13 127 RCL 19 177 STO 8728 PCI 18 78 XM2 128 XW> 13 178.LBL 8729 t+ 79 RCL 18 129 STO 19 179 RCL 8738 FS? 18 88/ 138 RCL 20 180 XEQ B31 Z- 81 - 131 X(> 1432 Rt 82 STO Z 132 STO 28 181 RCL 25
33 FS1 18 83 / 133 RTN 183 CB 1
34 CHS 84 STO 8 ,134 LBL 12 184 (:
35 ST+ 12 85 RCL 13 135 RCL 23 184 X(T=yI V05 GTO 1536 Rt 86 * 136 X0 17 186 STO 2537 FS1 18 87 ST- 89 137 STO 23 18? RCL 8738 CHS 88 X<>Y 138 XEQ 14 188 STO 2639 ST+ 11 89 RCL 16 139 GTO 13 188.LBL 1548 XW Z 98 RCL 15 140*LBL C 19$ DSE 17
41 SIGN 91 X2 141*LBL 03 191 BT 87191 GTO 07
42 ST+ L 92 RCL 18 142 FS? 89 192 RCL 2643 RCL 88 93 ST/ 89 143 LN44 RCL 89 94 / 144 RCL 88 193 XEQ 82
45 X> L 95 - 145 194RCL26195 ,END.
46 PTN 96 * 146 RCL 89
47 RCL 88 97 SORT 147 FS1 08
48 RCL 89 98 ST/ 10 148 LN4q#LBL 99 XEQ [ND 87 149 +58 SF 18 1888 158FS 88
345
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lIST OF REFERENCES
1. Bishop, Gar, Captain, USA, Com4uter Proirams forHelicopter Data and Dis-lav aT- ric FiaLies1 ,California, December, 1483.
2. Sullivan, Patrick, Commander, USN, Hewett Packard HandHeld Computer Projram for Determinini-UEve -s- --
CUY~e UaT ion-s--ritt ?FT5Fhie1saI Pt~arFMt Shool, Monterey, California,Fetruary, 1982.
3. Layton, Professcr Donald M., AE 4306 Helico2ter Des nManual, Naval Postgraduate SCK~oI. Monterey,CaTTIZrnia, 19E3.
352
I'
INITIAL DISTRIBUTION LIST a
No. Copies
1. Defense Technical Informaticn Center 2Cameron StationAlExdndria, Virgiria 22314
2. Army Aviation Systems Command 1Attn: Mr. Craw cid DRAV-GT4300 Goodfellow ElvdSt. louis, Missouri 63120
3. United States Naval Test Pilot School 1Attn: Mr. Jim McCueFatuxent River, Faryland 20670
4. litrar y, Code 0142 2Naval Postgraduate SchoolMcnterey, Califorria 93943
5. Department Chairian, Code 67 1Department of AezcnauticsNaval Pcst raduatE SchoolMcnterey, Califorria 93943
6. Frcf Donald M. Layton, Code 67-LN 2repartmEnt of AexcnauhcsNaval Pcst raduatE SchoolMCnterey, Califorria 93943
7. Maj Fonald S. Petricka 4244 Mortimers LaneMarina, California 93933
353