Item 0914

DESIGN: UniCopter ~ Trim, Stability & Control - Trim - Rotors (Port & Starboard)

Symbol Definitions - Flight Dynamics

FORM: Trim ~ Rotor

Drawing:

Rotors:

April 25, 2004 ~

HalfV (below) may be changed to ΛLAT or αLAT . In addition ΛLON or αLON may be used for longitudinal shaft tilt into wind.

The final angle of ΛLON and ΛHOS will probably be dependent on the load sharing between the rotors and the propeller at cruse

Forces and Moments from Port Rotor:

 

XP =

-HP* cos(HalfV) -TP * sin(Θ)

 

YP =

TP * sin(HalfV - Φ) -HP* cos(HalfV - Φ) * sin(β)

 

ZP =

-TP * cos(HalfV) * cos(Θ)

 

RP =

0 Add cyclic offset ~ It may be part of arm length

 

MP =

QP * sin(HalfV) Add cyclic offset ~ It may be part of arm length

 

NP =

QP * cos(HalfV) Add cyclic offset ~ It may be part of arm length

Forces and Moments from Starboard Rotor:

 

XS =

-HS* cos(HalfV) -TS * sin(Θ)

 

YS =

-TS * sin(HalfV- Φ) -HS* cos(HalfV - Φ) * sin(β)

 

ZS =

-TS * cos(HalfV) * cos(Θ)

 

RS =

0 Add cyclic offset~ It may be part of arm length

 

MS =

QS * sin(HalfV) Add cyclic offset ~ It may be part of arm length

 

NS =

-QS * cos(HalfV) Add cyclic offse t~ It may be part of arm length

 Notes:

The two rotors produce about 1,232 lb-ft of total torque from the Lycoming engine, at maximum continuous power. With a mast-to-mast angle of 16º sin(8) = 0.1392. The nose up torque will therefor be 0.1394 * 1,232 = 171 lb-ft. For reference; the mast-to-mast angle of 24º on other previous intermeshing helicopters was sin(12) = 0.2079.

The length of at least one of the moment arms will be dependent on the amount of ABC. This note probably belongs on another page.

Information on: H-force [H]

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Last Revised: April 25, 2004