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      <title>PAABSF</title>
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      <div class="title_refTopic" id="xps10_pagetitle">PAABSF </div>
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      <h4 class="refClassification">Frequency-Dependent Absorbers Element Property </h4>
      <p class="para_refTopic">Defines the properties of a frequency-dependent acoustic absorber element. </p>
      <div class="title_refCategory">Format: </div>
      <div class="refCategoryContent">
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                     <p class="para_th">1 </p>
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                     <p class="para_th">2 </p>
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                     <p class="para_th">3 </p>
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                     <p class="para_th">4 </p>
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                     <p class="para_th">5 </p>
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                     <p class="para_th">6 </p>
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                     <p class="para_th">7 </p>
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                     <p class="para_th">8 </p>
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                     <p class="para_th">9 </p>
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                     <p class="para_th">10 </p>
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                     <p class="para_td">PAABSF </p>
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                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">PID </p>
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                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TZREID </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TZIMID </p>
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                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">S </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">A </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">B </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">K </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">RHOC </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
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      <div class="title_refCategory">Example: </div>
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                     <p class="para_td">PAABSF </p>
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                     <p class="para_td">44 </p>
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                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">38 </p>
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                     <p class="para_td">47 </p>
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                     <p class="para_td">&nbsp; </p>
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                     <p class="para_td">&nbsp; </p>
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                     <p class="para_td">&nbsp; </p>
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                     <p class="para_td">&nbsp; </p>
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                     <p class="para_td">&nbsp; </p>
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                     <p class="para_td">&nbsp; </p>
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      <div class="title_refCategory">Fields:</div>
      <div class="refCategoryContent">
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                     <p class="para_th"><b class="uiTerm">Field </b></p>
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                  <th align="left" colspan="1" rowspan="1">
                     <p class="para_th"><b class="uiTerm">Contents </b></p>
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                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">PID </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Property identification number that matches the identification number of the corresponding CAABSF entry.  (Integer &gt; 0) </p>
                  </td>
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                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">TZREID </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Identification number of a TABLEDi entry that defines the resistance as a function of  frequency.  The real part of the impedance.  See Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_7.html#refYvBjn3c5juli');return(false);">7-1. </a> (Integer &gt; 0) 
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                     <p class="para_td">TZIMID </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Identification number of a TABLEDi entry that defines the reactance as a function of frequency.  The imaginary part of the impedance.  See Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/18topic_7.html#refYvBjn3c5juli');return(false);">7-1. </a> (Integer &gt; 0) 
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                     <p class="para_td">S </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Impedance scale factor.  (Real; Default = 1.0) </p>
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                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">A </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Area factor when 1 or 2 grid points are specified on the CAABSF entry.  (Real &gt; 0.0; Default = 1.0) </p>
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                     <p class="para_td">B </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Equivalent structural damping coefficient.  (Real &ge; 0.0; Default = 0.0) </p>
                  </td>
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                     <p class="para_td">K </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Equivalent structural stiffness coefficient.  (Real &ge; 0.0; Default = 0.0) </p>
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                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">RHOC </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Constant used in data recovery for calculating an absorption coefficient. RHO is the media density, and C is the speed of sound in the media.  (Real; Default = 1.0) </p>
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         </table><br></div>
      <div class="title_refCategory">Remarks: </div>
      <div class="refCategoryContent">
         <ol type="1" start="1">
            <li><a name="refYvBjn3c5juli"></a><p class="para_item">At least one of the four fields TZREID, TZIMID, B, or K must be specified. </p>
            </li>
            <li>
               <p class="para_item">If only one grid point is specified on the CAABSF entry, then the impedance <em>Z</em>(<em>f</em>)=<em>Z<sub class="subscript">R</sub></em> + <em>iZ<sub class="subscript">l</sub></em> is the total impedance at the point. If two grids are specified, then the impedance is the impedance per unit length. If three or four points are specified, then the impedance is the impedance per unit area.  <em>Z<sub class="subscript">R</sub></em>(<em>f</em>)=TZREID(<em>f</em>)+<em>B</em> and <em>Z<sub class="subscript">l</sub></em>(<em>f</em>)=TZIMID(<em>f</em>)−<em>K</em>/(2&pi;<em>f</em>). 
               </p>
            </li>
            <li>
               <p class="para_item">The resistance represents a damper quantity B. The reactance represents a quantity of the type (&omega;<em>M</em>−<em>K</em>/&omega;). The impedance is defined as <img align="bottom" src="graphics/bulkp-ufig01.gif" border="0"> where <em>p</em> is the pressure and <img align="bottom" src="graphics/bulkp-ufig02.gif" border="0"> is the velocity. 
               </p>
            </li>
            <li>
               <p class="para_item">The impedance scale factor S is used in computing element stiffness and damping terms as: </p>
               <p align="center"><img align="bottom" src="graphics/bulkp-equ01.gif"></p>
               <p align="center"><img align="bottom" src="graphics/bulkp-equ02.gif"></p>
            </li>
            <li>
               <p class="para_item">The output for the element is specified by the STRESS Case Control command and consists of the resistance, reactance, and absorption coefficient. The absorption coefficient is defined as: </p>
               <p align="center"><img align="bottom" src="graphics/bulkp-equ03.gif"></p>
            </li>
         </ol>
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