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A Mathematical Model of a Single Main Rotor Helicopter for ... - Read

A Mathematical Model of a Single Main Rotor Helicopter for ... - Read

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damping matrix in flapping differential equations<br />

flapping hinge <strong>of</strong>fset, m(ft)<br />

gravitational acceleration, m/sec2 (ft/sec2)<br />

rotor <strong>for</strong>ce normal to shaft, positive downwind, N (lb)<br />

incidence <strong>of</strong> vertical fin, positive <strong>for</strong> leading edge to the left, rad<br />

incidence <strong>of</strong> horizontal stabilizer, positive <strong>for</strong> leading edge up, rad<br />

<strong>for</strong>ward tilt <strong>of</strong> rotor shaft w.r.t. fuselage, positive <strong>for</strong>ward, rad<br />

rotor blade moment <strong>of</strong> inertia about flapping hinge, kg-m2 (slug-ft2)<br />

rotor moment <strong>of</strong> inertia about shaft<br />

factor to account <strong>for</strong> fraction <strong>of</strong> vertical tail in tail rotor wake<br />

flapping spring constant, N-m/rad (lb-ft/rad)<br />

pitch-flap coupling ratio, 4 tan 6,<br />

spring matrix in flapping differential equations<br />

fuselage rolling moment, n-m (f t-lb)<br />

fuselage lift, N (lb)<br />

rolling moment, pitching moment, and yawing moment, respectively, N-m (ft-lb)<br />

rotor blade mass, kg (slugs)<br />

blade weight moment about flapping hinge, N-m (lb-ft)<br />

number <strong>of</strong> blades<br />

roll, pitch, and yaw rates in the body-c.g. axes system, rad/sec<br />

roll, pitch, and yaw rates in the body-c.g. axes system relative to the air<br />

mass, rad/sec a .<br />

roll, pitch, and yaw rates in the hub-body axes system, rad/sec<br />

ratio <strong>of</strong> flapping frequency to rotor system angular velocity<br />

1<br />

dynamic pressure, - pV2, N/m2 (lb/ft2)<br />

2<br />

10

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