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📄 fmsort.htm

📁 MATLAB在飞行动力学和控制中应用的工具
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<TITLE>FDC help: FMsort</TITLE>
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<H2>Subsystem <I><FONT FACE="Arial","Helvetica","Sans Serif">FMsort</FONT></I></H2>

<I><FONT SIZE=2 FACE="Arial","Helvetica","Sans Serif">FMsort</FONT></I> is a subsystem of the system <I><FONT SIZE=2 FACE="Arial","Helvetica","Sans Serif"><A HREF="beaver.htm">Beaver</A></FONT></I>, used to sort the different contributions to the external forces and moments which act upon the aircraft and to compute the total external forces and moments in the body-axes reference frame by summing the different contributions. Note: the aerodynamic forces and moments for the DHC-2 'Beaver' are expressed in the body-axes reference frame in stead of the more common wind or flight-path axes. If aerodynamic lift and drag are used in stead, it is necessary to implement the transformation equations in the equations for <I>dV/dt</I>, <I>d(alpha)/dt</I>, and <I>d(beta)/dt</I> and to change <I><FONT SIZE=2 FACE="Arial","Helvetica","Sans Serif">FMsort</FONT></I> accordingly.
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Currently, only four contributions to the external forces and moments, acting upon the aircraft, are taken into account: the <A HREF="aerogrp.htm">aerodynamic forces and moments</A>, <A HREF="enggrp.htm">propulsive forces and moments</A> (including slipstream effects), forces due to the influence of <A HREF="gravity.htm">gravity</A>, and additional <A HREF="fwind.htm">contributions due to non-steady atmosphere</A>. It is not difficult to add more contributions to this list: just unmask the block <I><FONT SIZE=2 FACE="Arial","Helvetica","Sans Serif">FMsort</FONT></I> to find out how it works.

<H3>Inputvectors: <I>FMaero</I>, <I>FMprop</I>, <I>Fgrav</I>, <I>Fwind</I></H3>
<PRE>  FMaero = [Xa  Ya  Za  La  Ma  Na]'  (aerodynamic forces and mo-
             ments, coming from the subsystem <A HREF="aerogrp.htm">Aerodynamics Group</A>)

  FMprop = [Xp  Yp  Zp  Lp  Mp  Np]'  (engine forces and moments,
                          coming from the subsystem <A HREF="enggrp.htm">Engine Group</A>)

  Fgrav  = [Xgr Ygr Zgr]'        (gravity forces, coming from the
                                                   block <A HREF="gravity.htm">Gravity</A>)

  Fwind = [Xw  Yw  Zw]'        (wind forces from the block <A HREF="fwind.htm">Fwind</A>)


  Xa, Ya, Za   : aerodynamic forces in body-axes [N]
  La, Ma, Na   : aerodynamic moments in body-axes [Nm]
  Xp, Yp, Zp   : propulsive forces in body-axes [N]
  Lp, Mp, Np   : propulsive moments in body-axes [Nm]
  Xgr, Ygr, Zgr: gravity forces in body-axes [N]
  Xw, Yw, Zw   : wind forces in body-axes [N] (correction terms
                 for non-steady atmosphere, may also include the
                 influence of atmospheric turbulence)
</PRE>

<H3>Outputvectors: <I>Ftot</I> and <I>Mtot</I></H3>
<PRE>  Ftot = [Fx Fy Fz]'                     (total body-axes forces)
  Mtot = [L  M  N ]'                    (total body-axes moments)

  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>


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