Vibrations of Three-Layered Cylindrical Shells with FGM Middle Layer Resting on Winkler and Pasternak Foundations

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</svg>)</td><td align="center">Difference percentage </td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td align="left">1</td><td align="center">13.2769</td><td align="center">13.2145</td><td align="center">0.4700</td></tr><tr><td align="left">2</td><td align="center">4.4514</td><td align="center">4.4410</td><td align="center">0.2336</td></tr><tr><td align="left">3</td><td align="center">3.6084</td><td align="center">3.5684</td><td align="center">1.1085</td></tr><tr><td align="left">4</td><td align="center">5.7794</td><td align="center">5.6616</td><td align="center">2.0383</td></tr><tr><td align="left">5</td><td align="center">9.1613</td><td align="center">8.9530</td><td align="center">2.2737</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Variation of natural frequencies (Hz) of a three-layered simply supported-simply supported cylindrical shell for two configurations with respect to thickness of  shell layers (<svg height="11.125" id="M203" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 41.112499 11.125" width="41.112499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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Advances in Acoustics and Vibration

tab8

Table 8

Table 8: Vibrations of Three-Layered Cylindrical Shells with FGM Middle Layer Resting on Winkler and Pasternak Foundations 