📄 eulerdot.hlp
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EULERDOT is a masked Simulink subsystem, which contains the equa-
tions to calculate time derivatives of the Euler angles psi,
theta, and phi. The block EULERDOT is contained in the sub-sub-
system '12 ODEs' of the subsystem 'Aircraft Equations of Motion'
in the S-function BEAVER.
Inputvector: ueul (the inputvariables which are not actually used
by EULERDOT are displayed between accolades).
=================================================================
ueul = [x' Ftot' Mtot' yhlp'],
x = [V alpha beta p q r psi theta phi xe ye H]' (states)
Ftot = [Fx Fy Fz]' (total body-axes forces,
computed in FMSORT)
Mtot = [L M N]' (total body-axes moments,
computed in FMSORT)
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, computed in HLPFCN)
where:
{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] }
Of the inputvector yhlp, sin(phi), cos(phi), sin(theta), and
cos(theta) are used.
Outputvector: yeul.
===================
yeul = [psidot thetadot phidot]'
where:
psidot, thetadot, phidot: time derivatives of the Euler angles
[rad/s^2].
More info:
==========
See VABDOT.HLP, PQRDOT.HLP, XYHDOT.HLP, XDOTCORR.HLP, and 12ODES.HLP
for more details about the determination of time-derivatives of
the other states. For more details about the inputvectors to the
block EULERDOT, consult HLPFCN.HLP and FMSORT.HLP.
See also EQMOTION.HLP.
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The FDC toolbox, Copyright Marc Rauw 1994-1998.
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