<!DOCTYPE html
  PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">

<!--
Copyright (c) 2006 UGS Corp.

All Rights Reserved.

This software and related documentation are proprietary to UGS Corp.
-->
<html>
   <head>
      <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
      <title>MEFFMASS</title>
      <script language="javaScript">
        abridged="false";
        displayConditions=new Array();
      </script>
      <link type="text/css" href="../css/main_styles.css" rel="stylesheet">
   </head>
   <body class="bodydocs" onload="top.pageLoader()" bgcolor="#FFFFFF">
      <hr noshade="true">
      <div class="title_refTopic" id="xps10_pagetitle">MEFFMASS </div>
      <hr noshade="true">
      <h4 class="refClassification">Modal Effective Mass Output Request </h4>
      <p class="para_refTopic">Requests the output of the modal effective mass, participation factors, and modal effective mass fractions in normal modes analysis. </p>
      <div class="title_refCategory">Format: </div>
      <div class="refCategoryContent">
         <p align="center"><img align="bottom" src="graphics/casecontrol4a-ufig40.gif"></p>
      </div>
      <div class="title_refCategory">Examples: </div>
      <div class="refCategoryContent"><pre class="indent">MEFFMASS
MEFFMASS(GRID=12, SUMMARY, PARTFAC)</pre></div>
      <div class="title_refCategory">Describers:</div>
      <div class="refCategoryContent">
         <table cellpadding="9" cellspacing="" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="21.44*">
               <col span="1" width="78.56*">
            </colgroup>
            <thead>
               <tr>
                  <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>
               </tr>
            </thead>
            <tbody>
               <tr>
                  <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">Writes output to the print file. (Default) </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">Does not write output to the print file. </p>
                  </td>
               </tr>
               <tr>
                  <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">Writes output to the punch file. </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">NOPUNCH </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Does not write output to the punch file. (Default) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">PLOT </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Writes output to the output2 file </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">NOPLOT </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Does not write output to the output2 file (Default) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">grid</p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Reference grid point for the calculation of the Rigid Body Mass Matrix. The default is the origin of the basic coordinate system. </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">SUMMARY </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Requests calculation of the Total Effective Mass Fraction, Modal Effective Mass Matrix, and the Rigid Body Mass Matrix. (Default) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">PARTFAC </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Requests calculation of Modal Participation Factors. </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">MEFFM </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Requests calculation of the Modal Effective Mass in units of mass. </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">MEFFW </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Requests calculation of the Modal Effective Mass in units of weight. </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">FRACSUM </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Requests calculation of the Modal Effective Mass Fraction. </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">The SUMMARY describer produces three outputs:</p>
               <p class="para_item">Modal Effective Mass Matrix [ϵ<em><sup class="superscript">T</sup></em>][<em>m</em>][ϵ] where
               </p>
               <table cellpadding="9" width="100%" align="center">
                  <colgroup span="1">
                     <col span="1" width="619*">
                     <col span="1" width="599*">
                     <col span="1" width="8781*">
                  </colgroup>
                  <tbody>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">ϵ </p>
                        </td>
                        <td align="center" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">Modal Participation Factors</p>
                        </td>
                     </tr>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top"></td>
                        <td align="center" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">= </p>
                           <p class="para_td"></p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">[<em>m</em>]<em><sup class="superscript">-1</sup></em>[&phi;]<em><sup class="superscript">T</sup></em>[<em>M<sub class="subscript">aa</sub></em>][<em>D<sub class="subscript">ar</sub></em>]
                           </p>
                        </td>
                     </tr>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td"><em>m</em></p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">Generalized mass matrix</p>
                        </td>
                     </tr>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">&phi; </p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">Eigenvectors </p>
                        </td>
                     </tr>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td"><em>M<sub class="subscript">aa</sub></em></p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">Mass matrix reduced to the a-set (g-set for superelements) </p>
                        </td>
                     </tr>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td"><em>D<sub class="subscript">ar</sub></em></p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">Rigid body transformation matrix with respect to the a-set </p>
                        </td>
                     </tr>
                  </tbody>
               </table><br><p class="para_item">A-set Rigid Body Mass Matrix: [<em>D<sup class="superscript">T</sup><sub class="subscript">ar</sub></em>][<em>M<sub class="subscript">aa</sub></em>][<em>D<sub class="subscript">ar</sub></em>]. For a superelement this is computed at the g-set. 
               </p>
               <p class="para_item">Total Effective Mass Fraction: i.e., diagonal elements of the Modal Effective Mass Matrix divided by the Rigid Body Mass Matrix. </p>
            </li>
            <li>
               <p class="para_item">The PARTFAC describer outputs the Modal Participation Factors table: ϵ </p>
            </li>
            <li>
               <p class="para_item">The MEFFM describer outputs the Modal Effective Mass table: ϵ<sup class="superscript">2</sup>, the term-wise square of the Modal Participation Factors table. 
               </p>
            </li>
            <li>
               <p class="para_item">The MEFFW describer outputs the Modal Effective Weight table; i.e., the Modal Effective mass multiplied by user PARAMeter WTMASS. </p>
            </li>
            <li>
               <p class="para_item">The FRACSUM describer outputs the Modal Effective Mass Fraction table; i.e., the Generalized Mass Matrix (diagonal term) multiplied by the Modal Effective Mass and then divided by the Rigid Body Mass Matrix (diagonal term). </p>
            </li>
            <li>
               <p class="para_item">For superelements the MEFFMASS command uses the residual structure eigenvalues and eigenvectors, by default. If however, PARAM, FIXEDB, -1 is specified then MEFFMASS command uses the component mode eigenvalues and eigenvectors. </p>
            </li>
         </ol>
      </div>
   </body>
</html>