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FDC help: pqrdot
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<h2>
Subsystem <i>pqrdot</i>
</h2>
<p><i>pqrdot</i> computes the
time-derivatives of the angular body-axes velocities <i>p</i>, <i>q</i>,
and <i>r</i>. The block <i>pqrdot</i> is contained in the block <i><a href="12odes.htm">12 ODEs</a></i> of the subsystem <i><a href=
"eqmotion.htm">Aircraft Equations of Motion</a></i> in the <i><a
href="beaver.htm">Beaver</a></i> model. The remaining nine differential equations
are stored in the subsystems <i><a href="vabdot.htm">Vabdot</a></i>, <i><a
href="eulerdot.htm">Eulerdot</a></i>, and <i><a href=
"xyhdot.htm">xyHdot</a></i>, which are all contained in <i>12 ODEs</i>.</p>
<h3>
Inputvector: <i>upqr</i>
</h3>
<pre>
upqr = [x' Ftot' Mtot' yhlp'],
x = [V alpha beta p q r psi theta phi xe ye H]' (states)
Ftot = [Fx Fy Fz]' (total forces along the body-axes,
computed in the block <a href=
"fmsort.htm">FMsort</a>)
Mtot = [L M N]' (total moments along the body-axes,
computed in the block <a href=
"fmsort.htm">FMsort</a>)
yhlp = [cos(alpha) sin(alpha) cos(beta) sin(beta) ...
... tan(beta) sin(psi) cos(psi) sin(theta) ...
... cos(theta) sin(phi) cos(phi)]'
(sines and cosines, coming from the block <a href=
"hlpfcn.htm">Hlpfcn</a>)
{V : airspeed [m/s] }
{alpha: angle of attack [rad] }
{beta : sideslip angle [rad] }
p : roll rate [rad/s]
q : pitch rate [rad/s]
r : yaw rate [rad/s]
{psi : yaw angle [rad] }
{theta: pitch angle [rad] }
{phi : roll angle [rad] }
{xe : x-coordinate in Earth-fixed reference frame [m] }
{ye : y-coordinate '' '' '' '' [m] }
{H : altitude above sea-level [m] }
{Fx, Fy, Fz: total forces along the aircraft's body-axes [N] }
L, M, N : total moments along the aircraft's body-axes [Nm]
</pre>
<p>The inputvariables which are not actually used by <i>pqrdot</i> have been
displayed between curly braces. None of the elements of <i>yhlp</i> are used
by <i>pqrdot</i>.</p>
<h3>
Outputvector: <i>ypqr</i>
</h3>
<pre>
ypqr = [pdot qdot rdot]'
pdot : dp/dt [rad/s^2]
qdot : dq/dt [rad/s^2]
rdot : dr/dt [rad/s^2]
</pre>
<h3>
Parameters to be defined in the Matlab workspace
</h3>
<i>GM2</i>: matrix with inertia parameters of the 'Beaver' aircraft
(which is assumed to be constant during the motions of interest).
<i>GM2</i> can be loaded into the workspace by calling the routine <i><a
href="datload.htm">DATLOAD</a></i>. Use <i><a href=
"modbuild.htm">MODBUILD</a></i> if the datafile with model parameters does
not yet exist.
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