Item 1649

OTHER: Rotor Concept - Gyro for 2-blade Rotor(s) - Increased Control Authority for a Teetering Rotor:

 

Objective:

 

Drawing: This is a copy of the Electrotor-Plus. The gyro must be modified. Note that flight control rods must go inside the mast.

 

Specifications:

The Robinson R22 is used as the example.

Helicopter's Main Rotor:

Electric Gyro's Rotor:

 

 Calculations to Determine the Rotational Speed of the Gyroscope:

The following must be checked. Then work on the gyroscopic moments

Polar moment of inertia of mass. [JM]

Value for disk with mass (m) considered as being concentrated at the radius (r). JM = m * r2

For aerodynamic rotor; JM = 2 lb * 12.582 = 316.5 ft-lb-sec2 [the 2 lbs consists of 1 lb per blade]

For electric rotor; JM = 2lb * 12 = 2 ft-lb-sec2 [the 1 represents the radius of the electric rotor ~ outrunner] in ft-lb-sec2

 

 Kinetic Energy - Due to rotation:

EKR = (1/2) * JMO * ω2; [EKR in ft-lbs], [JMO ~ moment of inertia of the body about a fixed axis 0, in lbs-ft-sec2]

Kinetic energy of the two tip weights in the aerodynamic rotor = (1/2) * 25.16 * 316.52 = 1,260,167 lbs-ft-sec2.

 

Required Rotational speed of electric rotor = ω = root[EKR / ((1/2) * JMO)] = root[1,260,167 / ((1/2) * 2)] = 1,122 radians per second = 10,714 RPM

Phase Angle: 10,714:600 = 17.6:1. The rotorhub has rotated 5º when the gyro has rotated 90º. Therefore the phase angle is 85º.

 General Notes:

For related concept see; Electrotor-Plus

  

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Initially displayed: May 22, 2008 ~ Posted on PPRuNe: May 22, 2008 ~ Posted on Eng-Tips Forum: May 22, 2008 ~ Latest revision; May 22, 2008

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