A Semianalytical Solution for In-Plane Vibration Analysis of Annular Panels with Arbitrary Distribution of Internal Point Constraints

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">Modal frequencies</td><td class="align_center">FEA</td><td class="align_center">Present</td><td class="align_center">Difference</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">f1</td><td class="align_center">1623.7</td><td class="align_center">1623.4</td><td class="align_center">0.02</td></tr><tr><td class="align_left">f2</td><td class="align_center">1682.5</td><td class="align_center">1688.4</td><td class="align_center">0.35</td></tr><tr><td class="align_left">f3</td><td class="align_center">1720.1</td><td class="align_center">1760.0</td><td class="align_center">2.32</td></tr><tr><td class="align_left">f4</td><td class="align_center">1738.4</td><td class="align_center">1760.0</td><td class="align_center">1.24</td></tr><tr><td class="align_left">f5</td><td class="align_center">2591.8</td><td class="align_center">2671.4</td><td class="align_center">3.07</td></tr><tr><td class="align_left">f6</td><td class="align_center">2892.2</td><td class="align_center">2894.7</td><td class="align_center">0.09</td></tr><tr><td class="align_left">f7</td><td class="align_center">2892.8</td><td class="align_center">2894.7</td><td class="align_center">0.07</td></tr><tr><td class="align_left">f8</td><td class="align_center">2932.9</td><td class="align_center">2947.0</td><td class="align_center">0.48</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The first eight in-plane modal frequencies of annular panel with four-point constraints.</div>

Mathematical Problems in Engineering

tab3

Table 3

Table 3: A Semianalytical Solution for In-Plane Vibration Analysis of Annular Panels with Arbitrary Distribution of Internal Point Constraints 