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Vertical tail design and Spiral Stability
Vertical tail design
Central of lateral area
Inertial roll coupling
Locating the CLA
Vertical tail aspect ratio
Dorsal fins
All โ€“moving horizontal T-tails
Rudder power
Rudder aileron effect
Spiral stability
Levels of spiral stability
Lateral and directional coupling
Balance of forces
Spiral stability margin
Verticlal Tail Design
Wing dihedral
Fuselage
Landing gear side areas
CG location
Tail area
Rudder
CLA (spiral stable)
-25% of TMA aft CG
-a line through CLA & CG horizontal
-the wing joining the front CLA &rear CLA sloped
upward to the front
-
Inertial roll coupling
Aerodynamic axis & inertia axis aligned โ€“no inertial
coupling.
Rotation abt aerodynamic axis will create CF.
CFs produce pitching moment
Dihedral
sweepback 2 to 3 deg. equivalent to 1deg. Dihedral
High wing-2
Mid wing -3
Low wing -4
Locate CLA
Profile of design
Settle to 25% of TMA to get good VT
Left right lateral surface due to dihedral
-large VT area with no dihedral angle leads to sideslip
Large tail resist slip
Vertical aspect ratio
-ARv=1.55*Bv^2/Sv
Dorsal fin
-Increase fuselage stability at high speed angle
-Reduce VT stalling
Rudder power
-Area 30% of VT
-Rudder aileron effect โ€“reduce aileron efffect ( forced yaw)
-Rudder area center above horizontal tail line through CG
will act as aileron
Spiral Stability
-Degree of spiral stability
-Spirally stable
-neutrally spirally stable
-spirally unstable-angle of bank slowly increases ,speed gradually
increases
-for sailplanes good SS, sport model moderate , aerobatic models
neutral
Lateral & directional coupling
SS requires a balance between
lateral and directional forces
Dutch roll-
-large dihedral angle with small VT
lateral forces are high wagging
coupled with a slight side to side
roll
Balance of forces โ€“
Lateral &directional forces
LS-
Dihedral , angle of sweep back , Cl , AoA
Forward sweepback- destabilizes , increases yaw
-VT area prevents yaw
-advantage -wing stall at root first
DS-
-Dorsal fin-to overcome a lack of VT effectiveness flaps
extended & high side slip
-Sweepback- aids DS
- Drag moment reduces yaw
Aileron eliminate aileron induced adverse yaw
-SSM 25% of VTMA
-CG moved aft of the wing SSM VTMA decrease

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vertical tail design.

  • 1. Vertical tail design and Spiral Stability Vertical tail design Central of lateral area Inertial roll coupling Locating the CLA Vertical tail aspect ratio Dorsal fins All โ€“moving horizontal T-tails Rudder power Rudder aileron effect Spiral stability Levels of spiral stability Lateral and directional coupling Balance of forces Spiral stability margin
  • 2. Verticlal Tail Design Wing dihedral Fuselage Landing gear side areas CG location Tail area Rudder CLA (spiral stable) -25% of TMA aft CG -a line through CLA & CG horizontal -the wing joining the front CLA &rear CLA sloped upward to the front -
  • 3. Inertial roll coupling Aerodynamic axis & inertia axis aligned โ€“no inertial coupling. Rotation abt aerodynamic axis will create CF. CFs produce pitching moment
  • 4. Dihedral sweepback 2 to 3 deg. equivalent to 1deg. Dihedral High wing-2 Mid wing -3 Low wing -4 Locate CLA Profile of design Settle to 25% of TMA to get good VT Left right lateral surface due to dihedral
  • 5. -large VT area with no dihedral angle leads to sideslip Large tail resist slip
  • 6. Vertical aspect ratio -ARv=1.55*Bv^2/Sv Dorsal fin -Increase fuselage stability at high speed angle -Reduce VT stalling Rudder power -Area 30% of VT -Rudder aileron effect โ€“reduce aileron efffect ( forced yaw) -Rudder area center above horizontal tail line through CG will act as aileron
  • 7. Spiral Stability -Degree of spiral stability -Spirally stable -neutrally spirally stable -spirally unstable-angle of bank slowly increases ,speed gradually increases -for sailplanes good SS, sport model moderate , aerobatic models neutral
  • 8. Lateral & directional coupling SS requires a balance between lateral and directional forces Dutch roll- -large dihedral angle with small VT lateral forces are high wagging coupled with a slight side to side roll Balance of forces โ€“ Lateral &directional forces LS- Dihedral , angle of sweep back , Cl , AoA Forward sweepback- destabilizes , increases yaw -VT area prevents yaw -advantage -wing stall at root first
  • 9. DS- -Dorsal fin-to overcome a lack of VT effectiveness flaps extended & high side slip -Sweepback- aids DS - Drag moment reduces yaw Aileron eliminate aileron induced adverse yaw -SSM 25% of VTMA -CG moved aft of the wing SSM VTMA decrease