Shape Optimization for Natural Frequency with Isogeometric Kirchhoff-Love Shell and Sensitivity Mapping

<table class="fixed-width table-group" id="tab2"><tr><td><table class="table"><colgroup><col style="width:5.03em"/><col style="width:16.23em"/><col style="width:5.28em"/><col style="width:3.97em"/></colgroup><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left"> </td><td class="align_center"> design variables </td><td class="align_center"> frequency </td><td class="align_center"> mass </td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">initial</td><td class="align_center"> 1, 2, 3, 2, 1</td><td class="align_center"> 3.2752</td><td class="align_center"> 2135.7</td></tr><tr><td class="align_left">optimum</td><td class="align_center"> 6.8403, 5.9856, 6.2363, 5.9856, 6.8403</td><td class="align_center"> 3.8891</td><td class="align_center"> 3000.0</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Free form surface design results: the initial and optimal values and the structural response.</div>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: Shape Optimization for Natural Frequency with Isogeometric Kirchhoff-Love Shell and Sensitivity Mapping 