nozzles with different parameters, and the lateral force provided by each nozzle is
different. Then the magnitude and direction of resultant force F R are, respectively,
F R ¼
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi
F 2
x þ F 2
y
q
ð10:1Þ
h ¼ arctan
F y
F x
ð10:2Þ
where
h Angle direction of resultant force F R .
According to the flight requirements of the aircraft, different solenoid valves are
opened in different time periods, and different lateral force combinations are
obtained to realize the pitch and yaw attitude control of the aircraft.
Table 10.1 lists 64 kinds of lateral force conditions for attitude control when
eight nozzles are arranged circumferentially, and the lateral force provided by each
nozzle is the same. When a nozzle is opened, there are eight lateral forces of the
same size but different directions (Fig. 10.3). When two adjacent nozzles are
opened at the same time, there are eight lateral forces of the same size but different
directions. If nozzles 6 and 7 are opened at the same time, the lateral force of
À157:5
direction and resultant force of
ffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi
2 þ
ffiffi ffi
2
p
p
F will be obtained, as shown in
Fig. 10.4a. When two nozzles spaced by one nozzle are opened at the same time,
there are eight lateral forces of the same magnitude but different directions. If
nozzles 6 and 8 are opened at the same time, the lateral forces of À135
direction
and
ffiffi ffi
2
p
F resultant force will be obtained, as shown in Fig. 10.5a. When two
nozzles with two spacing nozzles are opened at the same time, there are eight lateral
forces of the same magnitude but different directions. If nozzles 6 and 9 are opened
at the same time, the lateral forces of À112:5
direction and resultant force of
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
2 À
ffiffi ffi
2
p
p
F will be obtained, as shown in Fig. 10.6a. When two nozzles with three
spacing nozzles are opened, such as nozzles 6 and 10, the lateral forces produced by
the two nozzles cancel each other, and the resultant force is 0. Therefore, when two
nozzles are opened, there are 24 different lateral forces. Similarly, when three
nozzles are opened simultaneously, there are 24 different lateral forces (Figs. 10.7,
10.8, and 10.9). When four nozzles are opened at the same time, there are eight
different lateral forces (Fig. 10.10). There are 64 possible lateral force conditions
for attitude control. According to the flight requirements of the aircraft, different
solenoid valves are opened in different time periods, and different lateral force
combinations are obtained to realize the pitch and yaw attitude control of the
aircraft.
10.1 Aerodynamic Attitude Control Principle and Attitude …
167
different. Then the magnitude and direction of resultant force F R are, respectively,
F R ¼
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi
F 2
x þ F 2
y
q
ð10:1Þ
h ¼ arctan
F y
F x
ð10:2Þ
where
h Angle direction of resultant force F R .
According to the flight requirements of the aircraft, different solenoid valves are
opened in different time periods, and different lateral force combinations are
obtained to realize the pitch and yaw attitude control of the aircraft.
Table 10.1 lists 64 kinds of lateral force conditions for attitude control when
eight nozzles are arranged circumferentially, and the lateral force provided by each
nozzle is the same. When a nozzle is opened, there are eight lateral forces of the
same size but different directions (Fig. 10.3). When two adjacent nozzles are
opened at the same time, there are eight lateral forces of the same size but different
directions. If nozzles 6 and 7 are opened at the same time, the lateral force of
À157:5
direction and resultant force of
ffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi
2 þ
ffiffi ffi
2
p
p
F will be obtained, as shown in
Fig. 10.4a. When two nozzles spaced by one nozzle are opened at the same time,
there are eight lateral forces of the same magnitude but different directions. If
nozzles 6 and 8 are opened at the same time, the lateral forces of À135
direction
and
ffiffi ffi
2
p
F resultant force will be obtained, as shown in Fig. 10.5a. When two
nozzles with two spacing nozzles are opened at the same time, there are eight lateral
forces of the same magnitude but different directions. If nozzles 6 and 9 are opened
at the same time, the lateral forces of À112:5
direction and resultant force of
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
2 À
ffiffi ffi
2
p
p
F will be obtained, as shown in Fig. 10.6a. When two nozzles with three
spacing nozzles are opened, such as nozzles 6 and 10, the lateral forces produced by
the two nozzles cancel each other, and the resultant force is 0. Therefore, when two
nozzles are opened, there are 24 different lateral forces. Similarly, when three
nozzles are opened simultaneously, there are 24 different lateral forces (Figs. 10.7,
10.8, and 10.9). When four nozzles are opened at the same time, there are eight
different lateral forces (Fig. 10.10). There are 64 possible lateral force conditions
for attitude control. According to the flight requirements of the aircraft, different
solenoid valves are opened in different time periods, and different lateral force
combinations are obtained to realize the pitch and yaw attitude control of the
aircraft.
10.1 Aerodynamic Attitude Control Principle and Attitude …
167