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Flight Mechanics - Preliminaries. Center for Aerospace Systems Design & Engineering Department of Aerospace Engineering IIT Bombay, Mumbai 400076. Aircraft Come in All Shapes. What makes them fly?. Contents . Principles of Flight Airfoil Wing Wing + Horizontal tail
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Flight Mechanics - Preliminaries Center for Aerospace Systems Design & Engineering Department of Aerospace Engineering IIT Bombay, Mumbai 400076
Aircraft Come in All Shapes What makes them fly? Dept of Aerospace Engineering, IIT-B
Contents • Principles of Flight • Airfoil • Wing • Wing + Horizontal tail • Flight Mechanics? Dept of Aerospace Engineering, IIT-B
Why Airfoil ? V V Drag Drag Airfoil : Shape that offers very low drag Dept of Aerospace Engineering, IIT-B
Airfoil – Lift, Moment Thickness, Camber t h L = Lift c M = Moment V h > 0 M < 0 Sign convention V Dept of Aerospace Engineering, IIT-B
Lift & Moment L = Lift M = Moment h=0 h L M h=0 h Fixed & V Some MRF dL/d & dM/d are constant over a range of Dept of Aerospace Engineering, IIT-B
Watch out ! : CP and AC L1 = Lift L = Lift M1 = Moment x1 M = Moment Center of pressure, M1=0 xcp = M/L M & L depend on Xcp shifts with Aerodynamic Center, dM1/d=0 xac = (dM/d)/(dL/d) In linear range of xac does not depend on . Is fixed at 0.25% of C L1 = L M1 = M - L x1 (dM1/d) = (dM/d) – (dL/d) x1 Dept of Aerospace Engineering, IIT-B
Lift & Moment Lift C Moment V Lift = 0.5 V2 C a Moment = 0.5 V2 C2 d Moment is about 0.25 C Dept of Aerospace Engineering, IIT-B
Flat Plate Lift Drag V More than that for airfoil Lift = 0.5 V2 C a Moment = 0.5 V2 C2 d; d = 0 Dept of Aerospace Engineering, IIT-B
Lift & Moment Lift Drag Moment (Pitching) V Lift = 0.5 V2 C a Moment = 0.5 V2 C2 d; d > 0 Dept of Aerospace Engineering, IIT-B
Lift & Moment Lift Drag Moment (Pitching) V Lift = 0.5 V2 C a Moment = 0.5 V2 C2 d; d < 0 Dept of Aerospace Engineering, IIT-B
Airfoil / Flat Plate Symmetric M = 0 Cambered h > 0 M < 0 Cambered h < 0 M > 0 Moment is about = 0.25C Moment does not change with Lift increases with Dept of Aerospace Engineering, IIT-B
Airfoil Symmetric M = 0 Cambered h > 0 M < 0 Cambered h < 0 M > 0 Moment is about = 0.25C Moment does not change with Lift increases with Dept of Aerospace Engineering, IIT-B
Equilibrium & Stability L L M V M V W W W L L L L M M W V V Stable Unstable Dept of Aerospace Engineering, IIT-B
Aerodynamic Center Stable Unstable Point about which Moment does not change with 0.25 C for an Airfoil. CG w.r.t. Aerodynamic Center Stability Dept of Aerospace Engineering, IIT-B
Flat Plate Strip of Paper L W L M0 W • How to make a strip of paper fly? • AR is large Like a flat plate airfoil • h = 0 M0 = 0 X = 0 • X = 0 Neutral • For stability • h < 0 M0 > 0 X < 0 • X < 0 Stable Dept of Aerospace Engineering, IIT-B
Lets Fly a Strip of Paper! CG without ballast Stable Dept of Aerospace Engineering, IIT-B
Lets Fly a Strip of Paper! CG with ballast Stable Dept of Aerospace Engineering, IIT-B
Lets Fly a Strip of Paper! Stable Hinge line of elevator Dept of Aerospace Engineering, IIT-B
Wing Aerodynamic Center Cr Ct Cr - Root chord Ct - Tip chord = Ct /Cr = Taper ratio Dept of Aerospace Engineering, IIT-B
Wing Stable Aerodynamic Center Unstable Dept of Aerospace Engineering, IIT-B
Wing Stable Aerodynamic Center Unstable Dept of Aerospace Engineering, IIT-B
Lets Fly a Wing! Dept of Aerospace Engineering, IIT-B
Wing + Horizontal Tail (No Fuselage) Sw Stable Unstable ST acw acT lT Dept of Aerospace Engineering, IIT-B
Vertical Tail? ? Dept of Aerospace Engineering, IIT-B
Vertical Tail? Dihedral? ? Dept of Aerospace Engineering, IIT-B
Flight Mechanics? Bifurcation analysis Simulation Stability – Eigenvalues of A Modes - Eigenvectors of A Thank You Dept of Aerospace Engineering, IIT-B
Equations of Motion • Rigid body dynamics • Aerodynamic forces & moments modeled Dept of Aerospace Engineering, IIT-B
Decoupled Equations Dept of Aerospace Engineering, IIT-B
Decoupled Equations BLo ALo ALD BLD Lo = Longitudinal, LD = Lateral-Directional Dept of Aerospace Engineering, IIT-B
http://www.casde.iitb.ac.in sudhakar@aero.iitb.ac.in Thank You Dept of Aerospace Engineering, IIT-B
Airfoil, Flat Plate Or Strip of Paper L L L x x W W W L = W L * X + Mo = 0; X = - Mo/L Dept of Aerospace Engineering, IIT-B
Control Surfaces Elevators Ailerons Rudder Dept of Aerospace Engineering, IIT-B
Elevators - Pitch Dept of Aerospace Engineering, IIT-B
Ailerons - Roll Dept of Aerospace Engineering, IIT-B
Rudder - Yaw Dept of Aerospace Engineering, IIT-B