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">28.7544</td><td align="center">28.6163</td><td align="center">0.4803</td></tr><tr><td align="left">2</td><td align="center">9.6851</td><td align="center">9.6514</td><td align="center">0.3480</td></tr><tr><td align="left">3</td><td align="center">5.4815</td><td align="center">5.4589</td><td align="center">0.4123</td></tr><tr><td align="left">4</td><td align="center">6.2720</td><td align="center">6.1775</td><td align="center">1.5067</td></tr><tr><td align="left">5</td><td align="center">9.3122</td><td align="center">9.1194</td><td align="center">2.0704</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 clamped-clamped cylindrical shell for two configurations with respect to thickness of shell layers (<svg height="11.125" id="M211" 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

tab9

Table 9

Table 9: Vibrations of Three-Layered Cylindrical Shells with FGM Middle Layer Resting on Winkler and Pasternak Foundations 