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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 Reaction Forces/Moments</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 reaction force(s)
and moment(s) through the example of reaction forces. </span>

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




<div class = "body conbody">
<p>The structure for defining a <code class = "ph codeph">DRESP</code> for reaction force(s)
or reaction moment(s):</p>
<pre class = "codeblock">
<code class = "ph codeph">
DRESP
 ID_NAME    = .....
 DEF_TYPE   = SYSTEM
 TYPE       = .....
 GROUP_OPER = <span class = "ph uicontrol">MAX</span> or SUM
 ND_GROUP   = ..... or use the NODE-definition
 NODE       = ..... or use the ND_GROUP-definition
END_
</code>
</pre>
  
<ol class = "ol" id = "tso-c-usr-terms-combTermsGroupOperReacForceMoment__ol_CC5417354D4945EB83360C41ADF25E65">
<li class = "li">
<code class = "ph codeph">GROUP_OPER</code> is default <code class = "ph codeph">GROUP_OPER = MAX</code>.</li>
<li class = "li">
Other options of <code class = "ph codeph">MAX</code> and <code class = "ph codeph">SUM</code> are invalid.</li>
<li class = "li">
A node group (<code class = "ph codeph">ND_GROUP</code>) must be applied in the <code class = "ph codeph">DRESP</code> when more than
one node is required.</li>
<li class = "li">
Maximal 5000 <code class = "ph codeph">DRESP</code>s can be defined. Therefore, the maximal number of
nodes for <code class = "ph codeph">GROUP_OPER = MAX</code> is 5000 or less as for each group member a
design response is created.</li>
<li class = "li">
The maximal number of nodes for <code class = "ph codeph">GROUP_OPER = SUM</code> is unlimited.</li>
<li class = "li">
<code class = "ph codeph">GROUP_OPER = SUM</code> is not allowed for absolute values.</li>
</ol>
<p>The picture below shows a structure where the reaction forces in the y-direction of the three nodes 31, 32, 33 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-combTermsGroupOperReacForceMoment__xx662778"><caption/><colgroup><col/></colgroup><tbody class = "tbody">
<tr class = "row">
<td class = "entry">
<br/><img class = "image" id = "tso-c-usr-terms-combTermsGroupOperReacForceMoment__image_87CE0DA6BD674A578C494A76657BEEC8" src = "../TsoUserImages/terms_node_react_force.png" width = "212" height = "164"/><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 31, 32 and 33 (see figure above) yielding:
</p>
  <pre class = "codeblock">
<code class = "ph codeph">
GROUP_DEF
 ID_NAME = reac_NODES
 TYPE    = NODE
 FORMAT  = LIST
 LIST_BEGIN
 31, 32, 33
END_
</code>
  </pre>
<div class = "section" id = "tso-c-usr-terms-combTermsGroupOperReacForceMoment__tso-c-usr-terms-combTermsGroupOperReacForceMoment-maxOper"><h2 class = "title sectiontitle">GROUP_OPER = MAX</h2>

<p>Based upon the node group a design response for the reaction 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_REAC_MAX
 DEF_TYPE   = SYSTEM
 TYPE       = REACTION_FORCE_Y
 LC_SET     = STATIC,1,
 ND_GROUP   =<var class = "keyword varname varname"> REAC_NODES</var>
 GROUP_OPER = MAX
END_
</code>
</pre>
<p>Internally, <span class = "ph">SIMULIA Tosca Structure</span>
generates three <code class = "ph codeph">DRESP</code>s. One <code class = "ph codeph">DRESP</code> for
the reaction force of node 31, one <code class = "ph codeph">DRESP</code> for the reaction
force of node 32 and one <code class = "ph codeph">DRESP</code> for the reaction force
of node 33. </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     =<var class = "keyword varname varname"> DRESP_REAC_MAX</var>
 MAGNITUDE = ABS
 LE_VALUE  = &lt;value&gt;
END_
</code>
</pre>

<p><span class = "ph">SIMULIA Tosca Structure</span>
then generates three reaction force constraints like the following:</p><table class = "table" id = "tso-c-usr-terms-combTermsGroupOperReacForceMoment__table_F64BEB923E2A4E1C9DA9EB9FD8204024"><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 ">R</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">31</mn></mrow></msub><mo class = "- topic/foreign ">≤</mo><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">R</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 ">R</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">32</mn></mrow></msub><mo class = "- topic/foreign ">≤</mo><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">R</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 ">R</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">33</mn></mrow></msub><mo class = "- topic/foreign ">≤</mo><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">R</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-combTermsGroupOperReacForceMoment__tso-c-usr-terms-combTermsGroupOperReacForceMoment-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 reaction force
in y-directions are defined in a DRESP using GROUP_OPER=SUM yielding:</p>
<pre class = "codeblock">
<code class = "ph codeph">
DRESP
 ID_NAME    = DRESP_REAC_SUM
 DEF_TYPE   = SYSTEM
 TYPE       = REACTION_FORCE_Y
 LC_SET     = STATIC,1,
 ND_GROUP   =<var class = "keyword varname varname"> REAC_NODES</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 reaction
forces of the nodes 31, 32 and 33. </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     =<var class = "keyword varname varname"> DRESP_REAC_MAX</var>
 MAGNITUDE = ABS
 LE_VALUE  = &lt;value&gt;
END_
</code>
</pre>

<p><span class = "ph">SIMULIA Tosca Structure</span>
then generates a single reaction force constraint like the following:</p>
<table class = "table" id = "tso-c-usr-terms-combTermsGroupOperReacForceMoment__xx630368"><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 ">R</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">31</mn></mrow></msub><mo class = "- topic/foreign ">+</mo><msub class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">R</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">32</mn></mrow></msub><mo class = "- topic/foreign ">+</mo><msub class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">R</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">33</mn></mrow></msub><mo class = "- topic/foreign ">≤</mo><mi class = "- topic/foreign ">R</mi><mo class = "- topic/foreign ">*</mo></mrow></math></span></td>
</tr>
</tbody></table>

</div>

<div class = "section" id = "tso-c-usr-terms-combTermsGroupOperReacForceMoment__tso-c-usr-terms-combTermsGroupOperReacForceMoment-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 three <code class = "ph codeph">DRESP</code>s
for each node like the following: </p>
<pre class = "codeblock">
<code class = "ph codeph">
DRESP
 ID_NAME = DRESP_REAC_1
 DEF_TYPE = SYSTEM
 TYPE = REACTION_FORCE_Y
<span class = "ph uicontrol"> NODE</span> =<span class = "ph uicontrol"> 31</span>
 LC_SET = STATIC,1
 GROUP_OPER = MAX  or  SUM
END_

DRESP
 ID_NAME = DRESP_REAC_2
 DEF_TYPE = SYSTEM
 TYPE = REACTION_FORCE_Y
<span class = "ph uicontrol"> NODE</span> =<span class = "ph uicontrol"> 32</span>
 LC_SET = STATIC,1
 GROUP_OPER = MAX  or  SUM
END_

DRESP
 ID_NAME = DRESP_REAC_3
 DEF_TYPE = SYSTEM
 TYPE = REACTION_FORCE_Y
<span class = "ph uicontrol"> NODE</span> =<span class = "ph uicontrol"> 33</span>
 LC_SET = STATIC,1
 GROUP_OPER = MAX  or  SUM
END_
</code>
</pre>
<p>And then add the three design response in three constraints:</p>
<pre class = "codeblock">
<code class = "ph codeph">
CONSTRAINT
 ID_NAME   = CONSTRAINT_1
 DRESP     = DRESP_REAC_1
 MAGNITUDE = ABS
 LE_VALUE  = &lt;value&gt;
END_

CONSTRAINT
 ID_NAME   = CONSTRAINT_2
 DRESP     = DRESP_REAC_2
 MAGNITUDE = ABS
 LE_VALUE  = &lt;value&gt;
END_

CONSTRAINT
 ID_NAME   = CONSTRAINT_3
 DRESP     = DRESP_REAC_3
 MAGNITUDE = ABS
 LE_VALUE  = &lt;value&gt;
END_
</code>
  </pre>
<p><span class = "ph">SIMULIA Tosca Structure</span>
then generates three reaction force constraints like the following:</p>
<table class = "table" id = "tso-c-usr-terms-combTermsGroupOperReacForceMoment__table_B7A9EB7826034397B473A86CBAAC09CE"><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 ">R</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">31</mn></mrow></msub><mo class = "- topic/foreign ">≤</mo><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">R</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 ">R</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">32</mn></mrow></msub><mo class = "- topic/foreign ">≤</mo><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">R</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 ">R</mi></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">33</mn></mrow></msub><mo class = "- topic/foreign ">≤</mo><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">R</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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