Robust Assignment of Natural Frequencies and Antiresonances in Vibrating Systems through Dynamic Structural Modification

<table class="table-group" id="tab11"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left"> </td><td class="align_center">Original system</td><td class="align_center">Desired value</td><td class="align_center">Modified system with robustness (proposed method)</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">ωp,1 (Hz)</td><td class="align_center">7.480</td><td class="align_center">–</td><td class="align_center">7.329</td></tr><tr><td class="align_left">ωp,2 (Hz)</td><td class="align_center">8.426</td><td class="align_center">–</td><td class="align_center">11.812</td></tr><tr><td class="align_left">ωp,3 (Hz)</td><td class="align_center">30.143</td><td class="align_center">30.143</td><td class="align_center">30.143</td></tr><tr><td class="align_left">ωp,4 (Hz)</td><td class="align_center">43.716</td><td class="align_center">–</td><td class="align_center">38.608</td></tr><tr><td class="align_left">ωp,5 (Hz)</td><td class="align_center">52.034</td><td class="align_center">–</td><td class="align_center">42.355</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Test-case 3: original, desired, and modified system lower natural frequencies.</div>

Shock and Vibration

tab11

Table 11

Table 11: Robust Assignment of Natural Frequencies and Antiresonances in Vibrating Systems through Dynamic Structural Modification 