Dynamics and Control 1 PDR Team Canard October

Dynamics and Control 1 PDR • Team “Canard” • October 5, 2006 Team 1: Dane Batema Drew Capps Kyle Ryan John Tapee AAE 451 Team 1 “Canard” Benoit Blier Patricia Roman Audrey Serra Carlos Vergara

Overview Tail Sizing: - Horizontal tail size - Vertical tail size - Elevator size - Rudder size AC and CG: - Determination of AC - CG range - Static Margin X-Plots and Trim Diagrams: - X-Plots - Trim diagrams - Dihedral AAE 451 Team 1 2

Horizontal Tail Size TAIL VOLUME METHOD Constants: Compare!! AAE 451 Team 1 Homemade aircraft: Historical Data from Roskam 3

Elevator Size • Initial sizing based on historical data • Historical Data gives a possible starting point for system optimization Our Model: Compare!! • Optimum size of elevator will stabilize the aircraft at high speed and stall speed flight Where are we? Still need to work on the optimization algorithm AAE 451 Team 1 Homemade aircraft: Historical Data from Roskam 4

Longitudinal Static Stability • Longitudinal Static Model – Wing / Tail Aerodynamic Center – Aircraft Aerodynamic Center – Center of Gravity Position / Static Margin – Horizontal Tail Sizing • Class I Sizing – Lift Coefficient versus Elevator Deflection Angle – Moment Coefficient Equation – Trim Diagram How did we obtain our – Dihedral values? AAE 451 Team 1 5

Wing Aerodynamic Center Our Value: Also L Mac A. C AAE 451 Team 1 6

Tail Aerodynamic Center Our Value: L Mac A. C AAE 451 Team 1 7

Aircraft Aerodynamic Center Equation Obtained from Roskam The Result Our Constants AAE 451 Team 1 8

CG & Static Margin Initial guess of Center of gravity Number worked well on calculations for tail sizing. Allows the Calculation of the Static Margin Will improve as maximum deflection angle of elevator is calculated AAE 451 Team 1 9

Horizontal Tail Sizing Used Class I Method Design using XPLOT Guessed CG initial: Tail Surface found with Volume Ratio: Final Tail Surface AAE 451 Team 1 10

CL vs. Elevator Deflection Angle Increase Deflection Angle AAE 451 Team 1 11

Moment Coefficient Equation Our Moment Coefficient Equation What happened with the Trim Diagram? Positive value for Positive Trim Angle of Attack AAE 451 Team 1 Negative value for Stability • We run with some technical issues at the moment to calculate the Zero moment Coefficient lines at different CG Locations 12

Dynamics and Controls PDR What happened with the Trim Diagram? • We run with some technical issues at the moment to calculate the Zero moment Coefficient lines at different CG Locations • Will show it during next PDR including Lateral Stability AAE 451 Team 1 13

Dihedral High Wing: - Natural dihedral - Typical values of 1° to -2 ° High Dihedral: - Increased roll stability - Decreased maneuverability Our Aircraft: - 0 Dihedral - Adjust if needed AAE 451 Team 1 14

Dynamics and Controls PDR Questions? . . . Comments? . . . Concerns? . . . AAE 451 Team 1 15