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<a name = "hj-top"> </a><table class = "table1" id = "table11"><tr><td><table class = "DocHeader"><tr><td class = "DocHeader1" colspan = "2"><h1>Numerical Variables (<span class = "ph">VARIABLE</span>)</h1></td></tr><tr><td class = "DocHeader4" colspan = "2"/></tr><tr><td class = "DocHeader3"><table class = "DocHeaderIntro" id = "table12"><tr><td class = "Intro1Only"><p class = "header"><p class = "abstract">
<span class = "shortdesc">Numerical variables are an important feature in <span class = "ph">SIMULIA Tosca Structure</span>.
In the simplest case, a numerical variable is used to write the contents
of a database to the screen or to a file. Some commands in <span class = "ph">SIMULIA Tosca Structure</span>
can only be addressed with variables so that the numerical variables
must be defined in advance. Other commands become more flexible when
using variables. Conditions for logical variables (<code class = "ph codeph">LOGICAL</code>)
are set by numerical variables.</span>

</p>

</p></td></tr></table></td><td class = "DocHeader2"><table class = "DocTopicsSeeAlso" id = "table13"><tr><td class = "TopicsTitle">See Also</td></tr></table><table class = "DocTopicsInOtherGuides" id = "table14"><tr><td height = "8px"/></tr><tr><td class = "TopicsTitleNormal">In Other Guides</td></tr><tr><td><a title = "Defines numerical variables. The command VARIABLE defines fixed or numerical variables that change from iteration to iteration." href = "../TsoCmdMap/tso-m-cmd-variable-sb.htm#tso-m-cmd-variable-sb">VARIABLE</a></td></tr></table></td></tr></table>




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<p>Numerical variables are defined with the <code class = "ph codeph">VARIABLE</code>
command. They can be assigned to constraint values or to data from the
database.</p>
<ul class = "ul" id = "tso-c-usr-post-toolbox-numVar__ul_36EB6C5B525643BBB5D7869814E01C7F">
<li class = "li"><code class = "ph codeph">DEF_TYPE = FIX</code> fixed value</li>
<li class = "li"><code class = "ph codeph">DEF_TYPE = SYSTEM</code> <span class = "ph">load case</span>
independent and <span class = "ph">load case</span>
dependent  value</li>
</ul>
<p>The  access to the database (that is, to the analysis or optimization results)
can be precisely specified by:</p>
<ul class = "ul" id = "tso-c-usr-post-toolbox-numVar__ul_EF1D992ADE8444FAB5164FD363876A7E">
<li class = "li">Type of contents.</li>
<li class = "li">Definition of the selection area:  any node or element group.</li>
<li class = "li">Type of selection within the selection group:  minimum (<code class = "ph codeph">MIN</code>),
average (<code class = "ph codeph">AVERAGE</code>) or maximum (<code class = "ph codeph">MAX</code>)
value, sum (<code class = "ph codeph">SUM</code>) or number of entries (<code class = "ph codeph">COUNT</code>)
within the group.</li>
<li class = "li">Selection of the <span class = "ph">load case</span>
and type of the <span class = "ph">load case</span>
selection.</li>
</ul>
<p>In addition to direct database access, numerical variables can also be defined
with  mathematical operators (<code class = "ph codeph">DEF_TYPE = OPER</code>) (<code class = "ph codeph">ITEM
VAR_OPER = ADD,</code> <code class = "ph codeph">SUB, MULT, DIV, MIN, MAX, ABS or COMBINE</code>)
using 2 to 4 numerical variables (or up to 10 variables for <code class = "ph codeph">COMBINE</code>).
In addition, the change for a numerical variable in comparison to previous
iterations can also be defined as a variable (<code class = "ph codeph">DELTA</code>).</p>
<p>The following list represents a selection of the many possibilities
to extract results from a database, for a complete list refer to the
definition of the <code class = "ph codeph">VARIABLE</code>  command in the commands
manual:</p>
<ul class = "ul" id = "tso-c-usr-post-toolbox-numVar__ul_59B54436D0F74B628199BA88AF1BBC69">
<li class = "li"><span class = "ph">load case</span>
dependent contents (determined for a specific <span class = "ph">load case</span>
or for all <span class = "ph">load cases</span>):
<ul class = "ul" id = "tso-c-usr-post-toolbox-numVar__ul_236BCADE2B13432B910515CBFC501BFB">
<li class = "li">Stress (principal stress or equivalent stress).</li>
<li class = "li">Displacements (components or total displacement).</li>
<li class = "li">Equivalent stress.</li>
</ul></li>
<li class = "li"><span class = "ph">load case</span>
independent contents:
<ul class = "ul" id = "tso-c-usr-post-toolbox-numVar__ul_FA9434AB869248E2B6B878BFAD54A6FC">
<li class = "li">Number of iterations.</li>
<li class = "li">Displacement values of the nodes through the material expansion or
material shrinkage (shape/bead optimization).</li>
<li class = "li">Lengths of the free, fixed, or total surface.</li>
<li class = "li">Element volumes.</li>
<li class = "li">Moments of inertia.</li>
<li class = "li">Center of gravity.</li>
</ul>
</li>
</ul>
</div>

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