1. Dynamics & Controls PDR 2
Team “Canard”
October 19, 2006

2. Overview from Previous Presentation
Overview – Stability
Longitudinal Stability
Center of Gravity Location
Tail / Elevator Sizing
Trim Diagram / Desired Static Margin
Lateral-Directional Stability
Vertical Tail Sizing with X-Plot
Rudder Size / Dihedral Angle
Ailerons Sizing & Location
Aircraft Transfer Functions
Pitch Rate to Elevator
Roll Rate to Aileron
Yaw Rate to Rudder
Overview from Previous Presentation
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3. Longitudinal Stability…
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4. Longitudinal Stability – Location of CG
As initial assumption
MATLAB Code used to optimize position of CG
Initial assumption proved to work well
Static Margin at desired location is:
Chosen CG Location:
Location of Forward CG:
AAE 451 Team 1

5. Longitudinal Stability – Horizontal Tail Sizing
Tail Sized using Class I Method (X-Plot)
Initial Tail Size:
Static margin
Static margin
x2 initial size!!.. Increase of Drag
Tail size set 15% margin
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6. Longitudinal Stability – Elevator Sizing
Elevator sized using Historical Data
Our Tail volume ratio is:
With Surface Ratio of:
Flap Efficiency Factor:
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7. Longitudinal Stability – Trim Diagram
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8. Lateral Stability – Directional Control
Vertical Tail Sizing
Maximum Yaw Moment Coefficient
Best Vertical Tail Area
Range of 1% difference from Minimum Side Force Coefficient
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9. Lateral Stability – Directional Control
Rudder Sizing
Historical Data of Homebuilt Aircraft
Wing Area
Vertical Tail Area
Rudder Area found by using the corresponding average ratio
Rudder Area
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10. Lateral Stability – Lateral Control
The Weathercock Stability
Required Rudder Deflection angle to trim at a given sidewash angle
The Side-Force Coefficient:
The Yawning Moment Coefficient:
The Yawning Moment due to Rudder Deflection
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11. Dynamic Stability…
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12. Aircraft Systems Transfer Functions
Pitch Rate To Elevator
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13. Aircraft Systems Transfer Functions
Yaw Rate To Rudder
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14. Aircraft Systems Transfer Functions
Roll Rate To Aileron
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15. Compensated System
Gain:
Dutch Roll: 0.96
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16. Control System Root Locus
General Block Diagram +
Servo
Aircraft -
Gyro
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17. Rate Gyro Procedure for setting the rate gyro: 1. Static Test
-Dial in the gain
-Perturb the aircraft
-Make sure the rudder deflects to counter the yaw
2. Flight Test
-Select one person to be the gain setter
-Test the gain in flight
-Insure safe recovery altitude
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18. Questions?...
Comments?...
Concerns?...
Thank you!!!!
AAE 451 Team 1