📄 fmsort.htm

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      FDC help: FMsort
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    <h2>
      Subsystem <i>FMsort</i>
    </h2>
    <p><i>FMsort</i> is a subsystem of the <i><a href="beaver.htm">Beaver</a></i> model, 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 &#39;Beaver&#39; are expressed in the body-axes
    reference frame instead of the more common wind or flight-path axes. If
    aerodynamic lift and drag are used instead, 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>FMsort</i>
    accordingly.</p> 
     <p>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>FMsort</i> to find out how it works.</p> 
    <h3>
      Inputvectors: <i>FMaero</i>, <i>FMprop</i>, <i>Fgrav</i>, <i>Fwind</i>
    </h3>
<pre>
  FMaero = [Xa  Ya  Za  La  Ma  Na]&#39;  (aerodynamic forces and mo-
             ments, coming from the subsystem <a href=
"aerogrp.htm">Aerodynamics Group</a>)

  FMprop = [Xp  Yp  Zp  Lp  Mp  Np]&#39;  (engine forces and moments,
                          coming from the subsystem <a href=
"enggrp.htm">Engine Group</a>)

  Fgrav  = [Xgr Ygr Zgr]&#39;        (gravity forces, coming from the
                                                   block <a href=
"gravity.htm">Gravity</a>)

  Fwind = [Xw  Yw  Zw]&#39;        (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]&#39;                     (total body-axes forces)
  Mtot = [L  M  N ]&#39;                    (total body-axes moments)

  Fx, Fy, Fz: total forces along the aircraft&#39;s body-axes [N]
  L, M, N   : total moments along the aircraft&#39;s body-axes [Nm]
</pre>
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