NASA-TM-84281 A Mathematical Model of a Single Main Rototr Helicopter for Piloted Simulation.pdf

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NASA
Technical Memorandum
84281
1
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I
i
1
!
A
Mathematical Model
of
a
Single
Main Rotor Helicopter for Piloted
Simulation
Peter D. Talbot,
Bruce
E.
Tinling,
William
A. Decker,
and
Robert
T.
N.
Chen
t
September
1982
NASA
...
National Aeronautics and
Space Administration
NASA Technical Memorandum
84283
A
Mathematical Model of
a
Single
Main Rotor Helicopter for Piloted
Simulation
Peter D. Talbot
Bruce
E.
Tinling
William A. Decker
Robert
T.
N.
Chen, Ames Research Center, Moffett,Field, California
National Aeronautics and
Space
Administration
Ames Research Center
Moffett
Field California
94035
CONTENTS
Page
I
.
0
r
0
I
c,
...................................
INTRODUCTION
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
SIMULATION MODEL
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Main r o t o r
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
T a i l
rotor
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Empennage
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Fuselage
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Rotor R o t a t i o n a l Degree
of
Freedom and R M Governing
. . . . . . . . . .
P
C o n t r o l Systems
. . . . . . . . . . . . . . . . . . . . . . . . . . . .
Atmospheric Turbulence
. . . . . . . . . . . . . . . . . . . . . . . . .
L i n e a r i z e d Six-Degree-of-Freedom Model
. . . . . . . . . . . . . . . . .
SuMMAEtY
APPENDICES
A Notation
B
C
D
E
F
G
1
1
H
I
..............................
Axissystems
. . . . . . . . . . . . . . . . . . . . . . . . . . . .
Main Rotor F l a p p i n g
Dynamics
and F o r c e and Moment C a l c u l a t i o n
. . . .
T a i l
Rotor Flapping and Force C a l c u l a t i o n
. . . . . . . . . . . . . .
Empennage F o r c e s and Moments
. . . . . . . . . . . . . . . . . . . .
C a l c u l a t i o n
of
F u s e l a g e F o r c e s and Moments
. . . . . . . . . . . . .
R M Governor
. . . . . . . . . . . . . . . . . . . . . . . . . . . .
P
Cockpit C o n t r o l s and C y c l i c C o n t r o l Phasing
. . . . . . . . . . . . .
L i n e a r i z e d Six-Degree-of-Freedom
Dynamics
R e p r e s e n t a t i o n
of
H e l i c o p t e r
9
13
15
23
28
32
35
37
39
41
46
.............................
J
C o n f i g u r a t i o n D e s c r i p t i o n Requirements
. . . . . . . . . . . . . . .
REFERENCES
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
iii
k
TABLES
Page
1-1
I
Elements
of
the Linearized Equations of Motion
Configuration Description Requirements
J-1
.............
.................
40
42
V
FIGURES
Page
1
2
3
Block Diagram Showing P r i n c i p a l Elements of S i n g l e Rotor H e l i c o p t e r
M o d e l . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
T y p i c a l V a r i a t i o n
of
Empennage L i f t and Drag C o e f f i c i e n t s
Block Diagram of R M Governor
P
.......
.....................
...................
5
6
3
4
B-
1
S t r u c t u r e
of
C o n t r o l System Model
7
The
Hub-Wind
Axis
System w i t h Main Rotor F o r c e , Moment, and V e l o c i t y
Components Defined
Hub-Body, A i r c r a f t
B-2
D-
1
.........................
Reference and Body-c.g. Axis Systems
. . . . . . . .
.....................
14
24
T a i l
Rotor Forces and Moments
vii
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