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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>About the Hub Example</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 = "shortdesc">This example shows the shape optimization of a hub of a wind
turbine system.
<p>This page discusses: </p><ul><li><a href = "#tso-c-example-shape-hub__cs-model" id = "toc_rg" title = "">About the Model</a></li><li><a href = "#tso-c-example-shape-hub__cs-ProcedureSummary" id = "toc_rg" title = "">Procedure Summary</a></li></ul>
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    <div class = "section" id = "tso-c-example-shape-hub__cs-model"><h2 class = "title sectiontitle">About the Model</h2>
      The optimization task is to lower the maximum von Mises
      stresses. The new design must show rotational symmetry by 120° with plane symmetrical
      segments. The assembly of the hub model is shown in the following figure: <p>
        <br/><img class = "image" src = "../TsoExampleImages/shapeHubModel.png"/><br/>
      </p><p>The hub is modeled using 3D solid elements. The model is loaded with two moments in
        opposite direction and is fixed at the end of the shaft: </p><p>
        <br/><img class = "image" src = "../TsoExampleImages/shapeHubModelLoads.png"/><br/>
      </p><p> Inner and outer surface of the base body can be changed individually by the shape
        optimization. The connections modeled as nondesign nodes must be fixed: </p><p>
        <br/><img class = "image" src = "../TsoExampleImages/shapeHubModelDesignNodes.png"/><br/>
      </p>
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<div class = "section" id = "tso-c-example-shape-hub__cs-ProcedureSummary"><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">Procedure Summary</h2>

    <p>
    <table class = "table"><caption/><colgroup><col style = "width:13.071895424836603%"/><col style = "width:86.9281045751634%"/></colgroup><tbody class = "tbody"><tr class = "row"><td class = "entry">Model:</td><td class = "entry">hub.ext
</td></tr><tr class = "row"><td class = "entry">Design Area:</td><td class = "entry">Node group <span class = "ph uicontrol">design_nodes</span>


</td></tr><tr class = "row"><td class = "entry">Design Variable Constraint:</td><td class = "entry">Apply boundary conditions for all nodes
</td></tr><tr class = "row"><td class = "entry">Design variable Constraint:
</td><td class = "entry">Fixation of all displacements for the node group FIX
</td></tr><tr class = "row"><td class = "entry">Design variable Constraint:
</td><td class = "entry">SURF_CYCLIC_PLANE-symmetry condition with start point (0,0,1), direction
                  (1,0,0), and angle 120° in the global coordinate system </td></tr><tr class = "row"><td class = "entry">Mesh Smooth:</td><td class = "entry">Mesh smoothing of all elements in the design area, while free surface
nodes remain free

</td></tr><tr class = "row"><td class = "entry">Objective:</td><td class = "entry">Minimize the maximal von Mises stresses in the design area
</td></tr><tr class = "row"><td class = "entry">Stop Condition
</td><td class = "entry">10 iterations
</td></tr></tbody></table></p>
    
    
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