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      <title>MKAERO1</title>
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      <div class="title_refTopic" id="xps10_pagetitle">MKAERO1 </div>
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      <h4 class="refClassification">Mach Number - Frequency Table </h4>
      <p class="para_refTopic">Provides a table of Mach numbers (m) and reduced frequencies (k) for aerodynamic matrix calculation. </p>
      <div class="title_refCategory">Format: </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="11.47*">
               <col span="1" width="9.96*">
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            <thead>
               <tr>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">1 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">2 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">3 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">4 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">5 </p>
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                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">6 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">7 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">8 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">9 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">10 </p>
                  </th>
               </tr>
            </thead>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">MKAERO1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">m1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">m2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">m3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">m4 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">m5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">m6 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">m7 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">m8 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">k1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">k2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">k3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">k4 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">k5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">k6 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">k7 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">k8 </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Example: </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="11.54*">
               <col span="1" width="10.02*">
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               <col span="1" width="10.02*">
               <col span="1" width="8.31*">
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            <tbody>
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                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">MKAERO1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">.1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">.7 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">.3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">.6 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Fields:</div>
      <div class="refCategoryContent">
         <table cellpadding="9" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="16*">
               <col span="1" width="84*">
            </colgroup>
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               <tr>
                  <th align="left" colspan="1" rowspan="1">
                     <p class="para_th"><b class="uiTerm">Field </b></p>
                  </th>
                  <th align="left" colspan="1" rowspan="1">
                     <p class="para_th"><b class="uiTerm">Contents </b></p>
                  </th>
               </tr>
            </thead>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">mi </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">List of from 1 to 8 Mach numbers.  (Real &ge; 0.0) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">kj </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">List of from 1 to 8 reduced frequencies.  (Real &gt; 0.0) </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Remarks: </div>
      <div class="refCategoryContent">
         <ol type="1" start="1">
            <li>
               <p class="para_item">Blank fields end the list, and thus cannot be used for 0.0. </p>
            </li>
            <li>
               <p class="para_item">All combinations of (mi, kj) will be used. </p>
            </li>
            <li>
               <p class="para_item">The continuation entry is required. </p>
            </li>
            <li>
               <p class="para_item">Multiple MKAERO1 entries are permitted. </p>
            </li>
            <li>
               <p class="para_item">For the lifting surface theories (Doublet-Lattice and Mach Box), the maximum value of kj should be less than one quarter of the number of boxes on a representative chord (i.e., </p>
               <p class="para_item"><img align="bottom" src="graphics/bulkmno-equ28.gif" border="0"> 
               </p>
               <p class="para_item">where <img align="bottom" src="graphics/bulkmno-ufig05.gif" border="0"> is the reference chord and &Delta;<em>x</em> is a typical box chord length). 
               </p>
            </li>
            <li>
               <p class="para_item">In SOL 146, the program selects only one value of mi to use in computing the dynamic response solution and, by default, the lowest value is selected.  The PARAM,MACH,m entry may be specified to select a different value.  If PARAM,MACH,m is specified, then the value of mi closest to m will be selected. </p>
            </li>
            <li>
               <p class="para_item">The very low nonzero value of kj required for aeroelastic divergence analysis of restrained vehicles with the K- and KE-methods of flutter analysis must be included on this entry. </p>
            </li>
         </ol>
      </div>
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