Item 1088

DESIGN: UniCopter ~ Trim, Stability & Control - Control - Equations

Symbols

Control:

 

Longitudinal Cyclic

A1 =

(A1P + A1S) / 2

 

Lateral Cyclic

B1 =

(B1P - B1S) / 2

 

Collective

θ0 =

0P + θ 0S) / 2

 

Differential Longitudinal Cyclic

A1' =

(A1P - A1S) / 2

 

Differential Lateral Cyclic

B1' =

(B1P + B1S) / 2

 

Differential Collective

Δθ0 =

0P - θ0S) / 2

S

Blade Pitch:

 

Port Rotor

θP =

0 + Δθ0) - (A1 + A1') * cos(ψP + Γ) - (B1 + B1') * sin(ψP + Γ)

 

Starboard Rotor

θS =

0 - Δθ0) - (A1 + A1') * cos(ψS + Γ) - (B1 - B1') * sin(ψS + Γ)

The basis of the above equations is from Rigid Coaxial (ABC) Rotor System Stability & Control Characteristics, page 1045-2.

Notes:

Now start to consider the second harmonic, to remove the lateral vibration during forward flight.

Spring steel swashring

8 input cylinders to ring, at 45º

IE Increase θ slightly at 45ºψ, decrease at 90ºψ, increase at 135ºψ.

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Last Revised: June 8, 2002