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Flight Mechanics - Preliminaries

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

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  1. Flight Mechanics - Preliminaries Center for Aerospace Systems Design & Engineering Department of Aerospace Engineering IIT Bombay, Mumbai 400076

  2. Aircraft Come in All Shapes What makes them fly? Dept of Aerospace Engineering, IIT-B

  3. Contents • Principles of Flight • Airfoil • Wing • Wing + Horizontal tail • Flight Mechanics? Dept of Aerospace Engineering, IIT-B

  4. Why Airfoil ? V V Drag Drag Airfoil : Shape that offers very low drag Dept of Aerospace Engineering, IIT-B

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. Lets Fly a Strip of Paper! CG without ballast Stable Dept of Aerospace Engineering, IIT-B

  18. Lets Fly a Strip of Paper! CG with ballast Stable Dept of Aerospace Engineering, IIT-B

  19. Lets Fly a Strip of Paper! Stable Hinge line of elevator Dept of Aerospace Engineering, IIT-B

  20. Wing Aerodynamic Center Cr Ct Cr - Root chord Ct - Tip chord  = Ct /Cr = Taper ratio Dept of Aerospace Engineering, IIT-B

  21. Wing Stable Aerodynamic Center Unstable Dept of Aerospace Engineering, IIT-B

  22. Wing Stable Aerodynamic Center Unstable Dept of Aerospace Engineering, IIT-B

  23. Lets Fly a Wing! Dept of Aerospace Engineering, IIT-B

  24. Wing + Horizontal Tail (No Fuselage) Sw Stable Unstable ST acw acT lT Dept of Aerospace Engineering, IIT-B

  25. Vertical Tail? ? Dept of Aerospace Engineering, IIT-B

  26. Vertical Tail? Dihedral? ? Dept of Aerospace Engineering, IIT-B

  27. Flight Mechanics? Bifurcation analysis Simulation Stability – Eigenvalues of A Modes - Eigenvectors of A Thank You Dept of Aerospace Engineering, IIT-B

  28. Equations of Motion • Rigid body dynamics • Aerodynamic forces & moments modeled Dept of Aerospace Engineering, IIT-B

  29. Decoupled Equations Dept of Aerospace Engineering, IIT-B

  30. Decoupled Equations BLo ALo ALD BLD Lo = Longitudinal, LD = Lateral-Directional Dept of Aerospace Engineering, IIT-B

  31. http://www.casde.iitb.ac.in sudhakar@aero.iitb.ac.in Thank You Dept of Aerospace Engineering, IIT-B

  32. 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

  33. Control Surfaces Elevators Ailerons Rudder Dept of Aerospace Engineering, IIT-B

  34. Elevators - Pitch Dept of Aerospace Engineering, IIT-B

  35. Ailerons - Roll Dept of Aerospace Engineering, IIT-B

  36. Rudder - Yaw Dept of Aerospace Engineering, IIT-B

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