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      <title>GPKE</title>
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      <div class="title_refTopic" id="xps10_pagetitle">GPKE </div>
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      <h4 class="refClassification">Grid Point Kinetic Energy Output Request </h4>
      <p class="para_refTopic">Requests the output of the kinetic energy at selected grid points in normal modes analysis only. </p>
      <div class="title_refCategory">Format: </div>
      <div class="refCategoryContent">
         <p align="center"><img align="bottom" src="graphics/casecontrol4a-ufig30.gif"></p>
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      <div class="title_refCategory">Examples: </div>
      <div class="refCategoryContent"><pre class="indent">GPKE=ALL
GPKE (PRINT, PUNCH)=19</pre></div>
      <div class="title_refCategory">Describers:</div>
      <div class="refCategoryContent">
         <table cellpadding="9" cellspacing="" width="100%" align="center">
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               <col span="1" width="19*">
               <col span="1" width="81*">
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                  <th align="left" colspan="1" rowspan="1">
                     <p class="para_th"><b class="uiTerm">Describer </b></p>
                  </th>
                  <th align="left" colspan="1" rowspan="1">
                     <p class="para_th"><b class="uiTerm">Meaning </b></p>
                  </th>
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            <tbody>
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                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">PRINT </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">The printer will be the output medium. </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">NOPRINT </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Generates, but does not print, grid point kinetic energy output. </p>
                  </td>
               </tr>
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                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">PUNCH </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">The punch file will be the output medium. </p>
                  </td>
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                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">e </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Minimum energy threshold. Only energies above this value will be printed and/or punched. </p>
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                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">ALL </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Grid point kinetic energy for all grid points will be output. </p>
                  </td>
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                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">n </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Set identification number of a previously appearing SET command. Only grid points with identification numbers that appear on this SET command will be included in the output. (Integer&gt;0) </p>
                  </td>
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                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">NONE </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Grid point kinetic energy for no points will be output. </p>
                  </td>
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      <div class="title_refCategory">Remarks: </div>
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            <li>
               <p class="para_item">Grid point kinetic energy is only available for normal modes analysis. </p>
            </li>
            <li>
               <p class="para_item">Both PRINT and PUNCH may be requested. </p>
            </li>
            <li>
               <p class="para_item">GPKE=NONE overrides an overall output request. </p>
            </li>
            <li>
               <p class="para_item">For models using the lumped mass formulation, the grid point kinetic energy can be used to examine the distribution of kinetic energy among the grid points. It is computed as: </p>
               <p align="center"><img align="bottom" src="graphics/casecontrol4a-equ20.gif"></p>
               <p class="para_item">where &phi;<em><sub class="subscript">g</sub><sup class="superscript">mass</sup></em> is the mass-normalized eigenvector so that the total grid point kinetic energy is scaled to be unity. Note that the operator shown in the previous equation indicates term-wise matrix multiplication. 
               </p>
            </li>
            <li>
               <p class="para_item">The grid point kinetic energy output has limited meaning for a coupled mass formulation. Since this mass formulation produces a coupling of mass across grid points, the sharing of kinetic energy among grid points can occur. In general, this obscures the meaning of the computation as a means of identifying important model parameters to control modal behavior. </p>
            </li>
         </ol>
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