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^^tSumeschool
NAVAL POSTGRADUATE SCHOOL
Monterey, California
THESISPRELIMINARY HELICOPTER DESIGN DECISION
MAKING BASED ON FLIGHT PERFORMANCE FACTORS
by
Patrick V. Adamcik
September 1984
Thesis Advisor: Donald M . Layton
Approved for public release: Distribution unlimited
T221683
SECURITY CLASSIFICATION lT T-HS PAGE (When Dj'r Entered)
REPORT DOCUMENTATION PAGE-!—
READ INSTRUCTIONSBEFORE COMPLETING FORM
I. REPORT NUMBER 2. GOVT ACCESSION NO 3. RECIPIENT'S CATALOG NUMBER
4. TITLE (and Subtitle)
Preliminary Helicopter Design DecisionMaking Based on Flight Performance
Factors
5. TYPE OF REPORT ft PERIOD COVERED
Master's ThesisSeptember 1984
6. PERFORMING ORG. REPORT NUMBER
7. AUTHORfsj
Patrick V. Adamcik
8. CONTRACT OR GRANT UUMQER(a)
9. PERFORMING ORGANIZATION NAME AND ADDRESS
Naval Postgraduate SchoolMonterey, California 93943
10. PROGRAM ELEMENT. PROJECT, TASKAREA ft WORK UNIT NUMBERS
1 I. CONTROLLING OFFICE NAME AND AODRESS
Naval Postgraduate SchoolMonterey, California 93943
12. REPORT DATESeptember 198413. NUMBER OF PAGES
9714. MONITORING AGENCY NAME ft ADDRESSf// dlHeron t from Controlling Otllce) 15. SECURITY CLASS, (of thla report)
Unclassified
15a. DECLASSIFICATION/ DOWNGRADINGSCHEDULE
16. DISTRIBUTION STATEMENT Col this Report)
Approved for public release, distribution unlimited
'7. DISTRIBUTION STATEMENT (ot the abstract entered In Block 20, II dIHerent from Report)
18. SUPPLEMENTARY NOTES
19. KEY WORDS (Continue un reverse aide II neceaaary and Identify by block number)
Helicopter Design, Helicopter Performance,Helicopter Flight Performance, Helicopter Performance Factors
20. ABSTRACT (Continue on reverse aide If neceaaary and Identity by block number)
This thesis will assist those evaluating helicopter designto make preliminary judgments about the feasibility of newdesigns. By using the computer program developed in thisthesis, a designer can produce estimates for power requirements,endurance velocity, rate of climb, range velocity, hoverceiling, and service ceiling versus main rotor radius. These
DDi jan 73 1473 EDITION OF 1 NOV 65 IS OBSOLETE
S N 0102- LF- 014- 6601 1SECURITY CLASSIFICATION OF THIS PAGE (When Dmta Entered)
SECURITY CLASSIFICATION OF THIS PAGE (Whmn Df Enffd)
20. continuation
estimates can also be examined for the effects of changes inmain rotor radius, chord, and rotational velocity.
S N 0102- LF- 014- 6601
SECURITY CLASSIFICATION OF THIS PAGEfWhan Dafa Enfrmd)
Approved f or pub lie r el ease ; d 1 st r i but i on un I i mi t ed
Preliminary Helicopter Design Decision Making Basedon Flight Per-formance Factors
by
Patrick V. AdamcikCaptain. United States Army
B.3., University o* Texas at Austin, 1977
Submitted in partial fulfillment of therequirements -for the degree of
MASTER OF SCIENCE IN AERONAUTICAL ENGINEERING
from the
NAVAL POSTGRADUATE SCHOOLSeptember 1 934
DUDLEY KMCK UBRWT
This thesis will assist those evaluating helicopter
design to make preliminary judgments about the feasibility
of new designs. By using the computer program developed in
this thesis, a designer can produce estimates -For power
requirements, endurance velocity, rate of climb, range
velocity, hover ceiling, and service ceiling versus main
rotor radius. These estimates can also be examined for the
effects of changes in main rotor radius, chord. and
rotational velocity.
DUDLEY KNOX LIBRARYTABLE OF CONTENTS NAVAL POSTGRADUATE SCHOOL
MONTEREY, CALIFORNIA 93943I. INTRODUCTION 9^I I . APPROACH TO THE PROBLEM ............ II
III. SOLUTION TO THE PROBLEM ...... 13
IV. RESULTS IS
CONCLUSIONS .................. 24
APPENDIX A. COMPUTER PROGRAM OUTPUT - PLOTS 25
APPENDIX B. COMPUTER PROGRAM LISTING ... 57
LIST OF REFERENCES 96
INITIAL DISTRIBUTION LIST 97
LIST OF TABLES
1. Sample Data -for Use in Program = 13
2. Assumptions Made in the Program .„...,== 14
3. Case Use o-f Variables . „ . 15
4. Case Evaluation o-f Maximum Rate o-f Climb .... 19
LIST OF FIGURES
4.4
Example o-f Left Hand Plot ...... ,
Example of Right Hand Plot
Example Maximum Rate of Climb — Case 1
Example Maximum Rate o-f Climb — Case 2
Example Maximum Rate of Climb — Ca<z& 3
Example Maximum Rate of Climb - Case 4
16
1?
21
ACKNOWLEDGMENT
Acknowledgment is made of the assistance provided by
Professor Donald M. Layton, thesis advisor , who helped in
guiding the direction o-f this thesis. Much of the necessary
information for this thesis was found during Professor
Layton's exellent classes on performance and design of
hel i copters.
8
I INIRQDUCIIQN
A military engineering officer in a program or project
office would probably never be called on to prepare a
conceptual design of a helicopter, but he may well be
required to evaluate a proposal submitted by a commercial
contractor
.
The requirement for such an evaluation might be stated
as;
Determine if this design meets or exceeds theperformance factors listed on the next page andif the design can be changed to optimise theperformance.
There ar"e several approaches one could use to complete this
task. One could use a hand held calculator and enter the
data for the many equations, or one could write a program
for a micro or main frame computer to produce the required
information. Both these options &re laborious and time-
consuming. By choosing the first option, one may be able to
complete the task in two or three weeks or if it is decided
to write a program, one may finish in one week provided that
there ^r& no "bugs".
The best solution of course, is to use an existinc-
program which can determine the necessary information tor
the specification parameters. In addition, this program
should he able to show what happens if certain parameters
bt^ allowed to vary, thus providing the formation -for
op t i mi tdti on
.
The objective of this thesis was to develop such a
program that will graphically represent power requirements,
endurance velocity, rate o-f climb, range velocity, haver
ceiling and service ceiling all as a -Function o-f main rotor
radius for -four different cases. The graphs that result
from this program should enable one not only to evaluate the
basic helicopter design, but also to make recommendations
for design improvement.
10
II- AE'EBQ^CH TO JHE PROBLEM
Six performance factors (power requirements, endurance
velocity, rate of climb, range velocity, hover ceiling and
service ceiling) were determined to be major in designing of
a helicopter. In order to obtain estimates for these, a
Fortran program was to be written to be used with "DISSPLA"
(Display Integrated Software System and Plotting
Language) , CRef . 13, to plot the results of the performance
factors versus main rotor radius on either a screen or as a
hard copy from the main frame computer.
The equations required for calculating these factors
were obtained from "Helicopter Performance" , CRef . 23, and
"Helicopter Design Manual ", CRef . 33, both written by Donald
M. Layton. These equations were examined and then grouped
for the purpose of writing subroutines to ensure &n
effective use of computer time. The result was six subrou-
tines, Sub-group A, C Appendix B3 , Ar& used in all the
performance calculations. Sub-group A consist of:
1. RKO - Calculates density from pressure altitude andtemperature or given density altitude. Also determinespressure and temperature ratio for altitude versus sea1 evel
.
2. v'ELMR — Calculates induced velocity for main rotor.
3. VELTR - Calculates induced velocity for tail rotor
=
11
4= PDWMR - Calculates power requirements for mainrotor only.
5- POWTR - Calculates power requirements -for tailr a u _ i c* \ i <_< Luudi <=< i r u r <n T L .
•b= CONST - Calculates general constants to be used intrie -first -five subroutines listed above.
In addition to the subroutines listed above, six more.
Sub—group B, [Appendix BD, were written to per -form the
necessary iterations to calculate the performance factors.
Some of Sub—group B subroutines were iterated in steps
(1000,100,10,1) so that it would not require extensive
computer time to obtain the desired results. A final eight
subroutines, Sub-group C, C Appendix BD, were written to plot.
the results using DISSPLA.
The program takes into account neither compressibility
nor blade stall. These considerations were omitted since
this program was aimed at facilitating prel i mi nary decision
making for a new design, rather than a final production
design, and usually the blade selected for a new design is
taken from an existing helicopter.
12
III. SOLUTION JO JHE PROBLEM
The program requires input data prior to compiling ana
execution, To demonstrate how to use the program a set of
sample data was used. Table 1 is a listing of the required
input data -for the program.
Table 1
Sample Data -for Use in Program
Main Rotor Tail Rotor
Radius 26.3 -ft 5.5 -ft
Chord 1.75 ft 0.81 -ft
Rotational velocity 27.0 rad /sec 124.6 ran /secCoe-f f i c i en t of drag . 008 . 008Number of blades 4 4
General Helicopter Data
We i gh t 20000 . lb sTail boom length 31.5 ftEffective flat plate area (forward) 25,7 so ftEffective flat plate area, (vertical) 31.8 sq ftMain rotor height above skids or wheels 11.2 ftAircraft velocity (power calculations only) 90.0 ktsPlus/minus (+/— ) value for main rotor radius 4.0 ft
Engine Data
Number of engines 2Shaft horsepower output (military) 1561.0 shpShaft horsepower output (normal) 1313.0 shpShaft horsepower output (cruise) 989.0 shpSpecific fuel consumption (military) 0.4fa lbs/shp/hrSpecific fuel consumption (normal) 0.47 lbs/shp/hrSpecific fuel consumption (cruise) 0.51 lbs/shp/hr
As indicated in Table 1, a value is inputted for the
range over which you wish to examine the main rotor radius.
13
The example uses a value of -four (4.0) feet. This value is
assigned to a variable called "di-f-f". The program was
written to allow the X—axis scale o-f the plot to be
adjusted in accordance with any value you might choose -for
"di-f-f". The Y-a;; 1 5 scales can also change based on the
maximum and minimum values -for the performance factor being
consi dered
.
Certain assumptions had to be made in order to write
the program. Table 2 lists these assumptions and factors
used and the line number in the program where the factors
can be changed if needed.
Table 2
Assumptions Made in the Program
Assumption Factor Line Number-
Single Mast Helicopters NA NAOnly Rectangular Blades NA NAProfile Power Factor 4.3 1079,1108Ground Effect Factor 1.6 1138Transmission ?y Accessory Losses
1 engine Sh'P = (# ENG*ESHP- 1 . 0) *0. 97 560,780,8872 engines 3HP = (# ENG*ESHP-10. 0) *0. 9*0. 97 561,781,8883 engines SHP = (# ENG*ESHP-10. 0) *0. 9*0. 94 562,782,389
ENG: Engine, ESHP: Engine shaft horsepower,SHP: Rotor Shaft horsepower
The Transmission and Accessory Losses were calculated based
on a loss of ten (10) horsepower for the accessories, ten
percent (10%) for multiple engine installation, and three
14
(3%) for transmission losses (if three engine-
ion is require*
The secondary goal or the thesis w^s to examine lour
(4) different cases involving main rotor Radius, Chord,
Rotational Velocity, Tip Velocity, Advance Ratio, and
Solidity. Table 3 shows how these variables were used in
each of the four <4> cases.
Table 3
Case Use of Variables
Radius Chord Rotational Advance Tip SolidityVelocity Ratio Velocity
Case 1 V CCase 2 V CCase 3 V VCase 4 V V
CVCV
VCVC
VcVc
V : VARIES C : HELD CONSTANT
Advance Ratio, Tip Velocity, and Solidity when held constant
keep their values at the specification conditions, The
values of Chord and Rotational Velocity were allowed to
vary when Advance Ratio, Tip Velocity, or Solidity were held
constant as shown in Table 3.
The graphs consist of two (2) plots representing the
same data but presented in different ways. The left hand
plot shows the actual performance factor value versus main
rotor radius. Figure 3.1 shows an example using power
required versus main rotor radius, Case 1.
arsi
oo ^—-^ ^1
1
(SHP)
0.0
IOC
: : :
: : :
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LEGENDTAIL ROTORHfl IN" ROTOR"TOTRL POWER
POWERPOwTR"
-
12OQ_ a
a
*
LDCM
OO _
i 1
22.5 25.0 27.5 30.0 32.5
ROD I US OF MAIN ROTOR (FT)
Figure 3.1 Example of Le c t Hand Plot
The right hand plot shows the values of the performance
factors based on a percent difference from the value at the
specification conditions versus a percent difference of the
radius from the radius specification. Figure 3.2 shows an
example of power required (V. change) versus radius of the
main rotor {'/. change), Case 1.
16
oin
LEGENDTRIL ROTOR POWER."Mr'ffN" ROTOR" P0WCR
-20.0 -10.0 0.0 10.0 20.0
RADIUS OF MniN ROTOR {'/. CHANGE)
Figure 3.2 Example of Right Hand Plot
17
IV. RESULIS
The program will generate a total of thirty two (32)
plots. The first twelve (12) pertain to power requirements.
This includes induced, profile, and parasite power for the
main rotor; and induced and profile power for the tail
rotor. To indicate a relation between the power terms of
the main rotor the figure of merit (induced divided by the
sum of the induced and profile power) is included. The sum
of the terms (total power) for the main and tail rotor was
included with the total power required for the aircraft. The
remaining twenty (20) plots ^re for the performance factors
of endurance velocity, rate of climb, range velocity, hover
ceiling and service ceiling.
The data for this particular model (UH—60A) was used to
illustrate the features of the program and the result-
presented srs! typical for this example only. T-Se
specifications of any model or design can be used as long as
the assumption of a single—mast helicopter with rect angul sr
blades is followed.
The plots created by the program represent the results
of varying the main rotor radius, chord or rotational
velocity. To example how to interrupt the results, the four
(4) plots for Maximum Rate of Climb will be analyzed. Table
4 compares the results in relation to rate of climb, radius
18
and percent increase of rate of climb, Tht? cases were
explained in Table 3 and the Figures -follow Table 4.
Table 4
Case Evaluation of Maximum Rate of Climb Plots
Case Figure Rate o-f Radius PercentReference CI i mb (ft /sec) (ft) Increase
1 4.1 2628 27.
S
+ 0.1302 4.2 2668 24,8 - 0.1563 4.3 2700 30.63 + 2. SO4 4.4 2637 25.63 - 5.00
From examining Table 4, it would be best to increase the
radius to 30.63 feet while holding the chord to 1.75 feet.
the tip velocity to 723.6 ft /sec (radius times rotational
velocity), changing the rotational velocity to 23,62
rad/sec, and calculating solidity from radius and chord.
This, however. may not be the best answer if there is a
limitation to the radius of the blade. For this particular
example, the optimum solution may be to leave the design as
it is. Increasing or decreasing the radius by Sinai 1 amounts
does little to increase or decrease the rate of climb.
One must not only look at one factor in making the final
decision. The changes affect the performance factors in
different ways, therefore, the final decision must be made
after weighting all the changes against all the perf ormance
factors.
19
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V. CONCLUSIONS
The objective of this thesis to design a program that
evaluates a given set o-f helicopter design values was
accomplished. The program will generate thirty two (32)
graphs o-f six (6) per-f ormance factors -for any single—mast
helicopter. The program does allow for one to optimize a
design through the evaluation of the variation of parameters
for each performance factor.
At this point, the program takes into account neither
compressibility nor blade stall. These factors would
improve the estimations and may prove to be a worthwhile
project for further work. Other points which could be
examined Are twin—blade and no— tai 1 —rotor helicopters. Of
the points mentioned above, blade design would probably he
of most importance since little has been done to examine the
optimization of blade twist and composite structure of
bl ades.
24
APPENDIX A
COMPUTER PROGRAM OUTPUT - PLOTS
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95
LIST OF REFERENCES
1. Integrated Software Systems Corporation, D_I3SFlA iPocket Guide, Version 9.0, 1931.
2. Layton, Professor Donald M. , Helicogter Performance,Naval Postgraduate School, Monterey California,1 983
.
3. Layton, Professor Donald M. , AE 4306 Design DesignManual, Naval Postgraduate School, MontereyCal if orni a, 1983.
96
INITIAL DISTRIBUTION LIST
No. Copies
1. DfTeii^s Ttr«_hi 1 1 1_ c< I Iri"foriiiation CenterL-aflisron Stdti o
n
Hie^andria, v i r ginio ^ ^_-. l
4
2 = (Army Aviation Systems CommandAttn; Mr Crawford DRA'V—GT4300 Good -f el 1 ow Bl vdSt« Louis, Missouri 63120
;•« Library, Cod e U 1 4-2
Naval Postgraduate SchoolMonterey, California 93943
4. Department Chairman, Code 67Department of AeronauticsNaval Postgraduate SchoolMonterey, California 93943
5. Prof Donald M. Lay-ton, Code 67-LNDepartment of AeronauticsNaval Postgraduate SchoolMonterey, California 93943
6. CPT Patrick V. Adamcikc/o CPT Steve Kee302 Lakeshore RoadEnterprise, Alabama 36330
97
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ThesiA222c.l
AdamcikPreliminary helicop-
ter design decision
making based on flight
performance factors.
ThesisA222c.l
Adame ikPreliminary helicop-
ter design decisionmaking based on flightperformance factors.
