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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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gust levels. For this representation, scale length and the wind velocity can be<br />

specified as functions <strong>of</strong> altitude.<br />

velocity.<br />

The rms gust levels are dependent upon wind<br />

Linearized Six-Degree-<strong>of</strong>-Freedom <strong>Model</strong><br />

A computer subroutine is available that generates the coefficients <strong>of</strong> a linear,<br />

first-order set <strong>of</strong> differential equations that represents the rigid body dynamics <strong>of</strong><br />

the helicopter <strong>for</strong> small perturbations from a fixed operating point. The principal<br />

assumption necessary to generate this linear set <strong>of</strong> equations is that the helicopter<br />

initial angular rates are zero. The differential equations are <strong>of</strong> the <strong>for</strong>m: G<br />

k = [FIX + [GI6<br />

where x represents perturbations from trim <strong>of</strong> the state variables u, w, q, 8, v,<br />

p, $, and r; and 6 represents the coctrol displacements from trim Ase, A6,, Asa,<br />

and A$. The generation <strong>of</strong> the F and G matrices and a description <strong>of</strong> each element<br />

is given in appendix I.<br />

8

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