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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>Group Operations for Internal Forces</h1></td></tr><tr><td class = "DocHeader4" colspan = "2"/></tr><tr><td class = "DocHeader3" colspan = "2"><table class = "DocThemeIntro" id = "table12"><tr><td class = "Intro1Only"><p class = "header"><p class = "abstract">
<span class = "shortdesc">This chapter explains group operations for internal force(s).</span>

</p>
<p>This page discusses: </p><ul><li><a href = "#tso-c-usr-terms-combTermsGroupOperIntForces__tso-c-usr-terms-combTermsGroupOperIntForces-maxOper" id = "toc_rg" title = "">GROUP_OPER = MAX</a></li><li><a href = "#tso-c-usr-terms-combTermsGroupOperIntForces__tso-c-usr-terms-combTermsGroupOperIntForces-sumOper" id = "toc_rg" title = "">GROUP_OPER = SUM</a></li><li><a href = "#tso-c-usr-terms-combTermsGroupOperIntForces__tso-c-usr-terms-combTermsGroupOperIntForces-alt" id = "toc_rg" title = "">Alternative Definition of Constraints Function</a></li></ul>
</p></td></tr></table></td></tr></table>




<div class = "body conbody">

<pre class = "codeblock">
</pre>

<pre class = "codeblock">
</pre>






<p>The picture below shows a structure where the internal forces in the y-direction of the two nodes 65 and 66 for elements 33, 34, 37 and 38 should be
applied in a set of constraints using <code class = "ph codeph">GROUP_OPER=MAX</code> or
<code class = "ph codeph">GROUP_OPER=SUM</code>.
</p><table class = "table" id = "tso-c-usr-terms-combTermsGroupOperIntForces__xx662850"><caption/><colgroup><col/></colgroup><tbody class = "tbody">
<tr class = "row">
<td class = "entry"><br/><img class = "image" id = "tso-c-usr-terms-combTermsGroupOperIntForces__image_89B52F4C9CDA4678A210B23B0A7FF227" src = "../TsoUserImages/terms_internal_forces.png" width = "281" height = "180"/><br/></td>
</tr>
</tbody></table>

<p>For the use in <code class = "ph codeph">CONSTRAINT</code>s is, initially, a node group defined containing the
nodes 65 and 66 (see figure above) yielding:</p>
  <pre class = "codeblock">
<code class = "ph codeph">
GROUP_DEF
 ID_NAME = FORCE_NODES
 TYPE    = NODE
 FORMAT  = LIST
 LIST_BEGIN
 65, 66
END_
</code></pre>
<p>and a element group is defined containing the elements 33, 34, 37 and
38 (see figure above) yielding.</p>
<pre class = "codeblock">
<code class = "ph codeph">GROUP_DEF
 ID_NAME = FORCE_ELEM
 TYPE    = ELEM
 FORMAT  = LIST
 LIST_BEGIN
 33, 34, 37, 38
END_
</code>
</pre>
<div class = "section" id = "tso-c-usr-terms-combTermsGroupOperIntForces__tso-c-usr-terms-combTermsGroupOperIntForces-maxOper"><h2 class = "title sectiontitle">GROUP_OPER = MAX</h2>

<p>Based upon the node group and the element group a design response
for the internal force in y-directions are defined in a <code class = "ph codeph">DRESP</code>
using <code class = "ph codeph">GROUP_OPER=MAX</code> yielding:</p>
<pre class = "codeblock">
<code class = "ph codeph">
DRESP
 ID_NAME    = DRESP_FORCE_MAX
 DEF_TYPE   = SYSTEM
 TYPE       = INTERNAL_FORCE_Y
 LC_SET     = STATIC,1,
 ND_GROUP   = <var class = "keyword varname varname">FORCE_NODES</var>
 EL_GROUP   = <var class = "keyword varname varname">FORCE_ELEM</var>
 GROUP_OPER = MAX
END_
</code>
</pre>
<p>Internally, <span class = "ph">SIMULIA Tosca Structure</span>
generates two D<code class = "ph codeph">RESP</code>s. One <code class = "ph codeph">DRESP</code> for
the internal force of node 65 for element 33 and 34, and one <code class = "ph codeph">DRESP</code>
for the internal force of node 66 for element 37 and 38. </p>
<p>If one then applies the <code class = "ph codeph">DRESP</code> in a constraint yielding:
</p>
<pre class = "codeblock">
<code class = "ph codeph">
CONSTRAINT
 ID_NAME   = CONSTRAINT_MAX
 DRESP     = DRESP_FORCE_MAX
 MAGNITUDE = ABS
 LE_VALUE  = &lt;value&gt;
END_
</code>
</pre>

<p><span class = "ph">SIMULIA Tosca Structure</span>
then generates two internal force constraints like the following:</p><table class = "table" id = "tso-c-usr-terms-combTermsGroupOperIntForces__table_B370E46848EF4D4E937ECD386440C157"><caption/><colgroup><col style = "width:100%"/></colgroup><tbody class = "tbody"><tr class = "row"><td class = "entry"><p><span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><msub class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">F</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">65</mn></mrow></msub><mo class = "- topic/foreign ">≤</mo><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">F</mi></mrow><mrow class = "- topic/foreign "><mo class = "- topic/foreign ">*</mo></mrow></msup><mspace indentalign = "left" linebreak = "newline" class = "- topic/foreign "/></mrow></math></span></p><p><span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><mspace indentalign = "left" linebreak = "newline" class = "- topic/foreign "/><msub class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">F</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">66</mn></mrow></msub><mo class = "- topic/foreign ">≤</mo><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">F</mi></mrow><mrow class = "- topic/foreign "><mo class = "- topic/foreign ">*</mo></mrow></msup></mrow></math></span></p></td></tr></tbody></table>
</div>

	
<div class = "section" id = "tso-c-usr-terms-combTermsGroupOperIntForces__tso-c-usr-terms-combTermsGroupOperIntForces-sumOper"><p><map name = "FPMap1"><area href = "#hj-top" title = "Back to Top" shape = "rect" coords = "416, 0, 435, 10"/></map><span class = "itemsprite"/></p><h2 class = "title sectiontitle">GROUP_OPER = SUM</h2>

<p>Based upon the node group a design response for the internal force
in y-directions are defined in a <code class = "ph codeph">DRESP</code> using <code class = "ph codeph">GROUP_OPER=SUM</code>
yielding:</p>
<pre class = "codeblock">
<code class = "ph codeph">
DRESP
 ID_NAME    = DRESP_FORCE_SUM
 DEF_TYPE   = SYSTEM
 TYPE       = INTERNAL_FORCE_Y
 LC_SET     = STATIC,1,
 ND_GROUP   = <var class = "keyword varname varname">FORCE_NODES</var>
 EL_GROUP   = <var class = "keyword varname varname">FORCE_ELEM</var>
 GROUP_OPER = SUM
END_
</code>
</pre>
<p>Internally, <span class = "ph">SIMULIA Tosca Structure</span>
generates one <code class = "ph codeph">DRESP</code> consisting of the sum of the internal
forces of the nodes 65 and 66 for the elements 33, 34, 37 and 38.</p>
<p>If one then applies the <code class = "ph codeph">DRESP</code> in a constraint yielding:
</p>
<pre class = "codeblock">
<code class = "ph codeph">
CONSTRAINT
 ID_NAME   = CONSTRAINT_MAX
 DRESP     = DRESP_FORCE_MAX
 MAGNITUDE = ABS
 LE_VALUE  = &lt;value&gt;
END_
</code>
</pre>

<p><span class = "ph">SIMULIA Tosca Structure</span>
then generates a single internal force constraint like the following:</p>
<table class = "table" id = "tso-c-usr-terms-combTermsGroupOperIntForces__xx630432"><caption/><colgroup><col/></colgroup><tbody class = "tbody">
<tr class = "row">
<td class = "entry"><span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><msub class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">F</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">65</mn></mrow></msub><mo class = "- topic/foreign ">+</mo><msub class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">F</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">66</mn></mrow></msub><mo class = "- topic/foreign ">≤</mo><mi class = "- topic/foreign ">F</mi><mo class = "- topic/foreign ">*</mo></mrow></math></span></td>
</tr>
</tbody></table>

</div>

<div class = "section" id = "tso-c-usr-terms-combTermsGroupOperIntForces__tso-c-usr-terms-combTermsGroupOperIntForces-alt"><p><map name = "FPMap1"><area href = "#hj-top" title = "Back to Top" shape = "rect" coords = "416, 0, 435, 10"/></map><span class = "itemsprite"/></p><h2 class = "title sectiontitle">Alternative Definition of Constraints Function</h2>

<p>Alternatively, one could also define two <code class = "ph codeph">DRESP</code>s for
each node like the following: </p>
<pre class = "codeblock">
<code class = "ph codeph">
GROUP_DEF
 ID_NAME = FORCE_ELEM_1
 TYPE    = ELEM
 FORMAT  = LIST
 LIST_BEGIN
 33, 34
END_

DRESP
 ID_NAME  = DRESP_FORCE_1
 DEF_TYPE = SYSTEM
 TYPE     = INTERNAL_FORCE_Y
<span class = "ph uicontrol"> NODE = 65</span> 
 EL_GROUP = FORCE_ELEM_1
 LC_SET   = STATIC,1
 GROUP_OPER = MAX  or  SUM
END_

GROUP_DEF
 ID_NAME = FORCE_ELEM_2
 TYPE    = ELEM
 FORMAT  = LIST
 LIST_BEGIN
 37, 38
END_

DRESP
 ID_NAME    = DRESP_FORCE_2
 DEF_TYPE   = SYSTEM
 TYPE       = INTERNAL_FORCE_Y
 NODE       = 66
 EL_GROUP   = FORCE_ELEM_2
 LC_SET     = STATIC,1
 GROUP_OPER = MAX  or  SUM
END_
</code>
</pre>
<p>And then add the two design response in two constraints:</p>
<pre class = "codeblock">
<code class = "ph codeph">
CONSTRAINT
 ID_NAME   = CONSTRAINT_1
 DRESP     = DRESP_FORCE_1
 MAGNITUDE = ABS
 LE_VALUE  = &lt;value&gt;
END_

CONSTRAINT
 ID_NAME   = CONSTRAINT_2
 DRESP     = DRESP_FORCE_2
 MAGNITUDE = ABS
 LE_VALUE  = &lt;value&gt;
END_
</code>
</pre>
<p><span class = "ph">SIMULIA Tosca Structure</span>
then generates two internal force constraints like the following:</p><table class = "table" id = "tso-c-usr-terms-combTermsGroupOperIntForces__table_40A7BA50FD0F4ED38C6EA4060BE84146"><caption/><colgroup><col style = "width:100%"/></colgroup><tbody class = "tbody"><tr class = "row"><td class = "entry"><p><span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><msub class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">F</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">65</mn></mrow></msub><mo class = "- topic/foreign ">≤</mo><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">F</mi></mrow><mrow class = "- topic/foreign "><mo class = "- topic/foreign ">*</mo></mrow></msup><mspace indentalign = "left" linebreak = "newline" class = "- topic/foreign "/></mrow></math></span></p><p><span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><mspace indentalign = "left" linebreak = "newline" class = "- topic/foreign "/><msub class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">F</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">66</mn></mrow></msub><mo class = "- topic/foreign ">≤</mo><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">F</mi></mrow><mrow class = "- topic/foreign "><mo class = "- topic/foreign ">*</mo></mrow></msup></mrow></math></span></p></td></tr></tbody></table>

<p>Consequently, it can be concluded that there is fundamental difference
in the constraints if a node group (<code class = "ph codeph">ND_GROUP</code>) consisting
of more than one node is applied and the choice of <code class = "ph codeph">GROUP_OPER</code>.
</p>
</div>

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