Effect of Imperfections and Damping on the Type of Nonlinearity of Circular Plates and Shallow Spherical Shells

<div class="floats-full-page floats-full-page-figure"><h2>Figure 5</h2><div class="floats-full-page-caption"><table>Type of nonlinearity for&#13;
mode (0,2) with an axisymmetric imperfection having the shape of mode (0,1).&#13;
2:1 internal resonances with modes (0,3), (0,4), and (0,5) occurs,&#13;
respectively, for <svg height="10.9125" id="M100" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 35.512501 10.9125" width="35.512501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜃</tspan>
<tspan style="font-size: 12.50px; " x="10.014903" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.055292" y="0">0</tspan>
</text>
</g>
</g>
</svg> = 1.74, 5.43,&#13;
and 9.92.</table></div><div class="floats-full-page-content"><table class="table-group" width="800px"><tr class="fig-image"><td><img alt="78307.fig.005" src="https://static-01.hindawi.com/articles/mpe/volume-2008/678307/figures/78307.fig.005.jpg" /></td></tr></table></div></div>

Figure 5 | Effect of Imperfections and Damping on the Type of Nonlinearity of Circular Plates and Shallow Spherical Shells

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Figure 5: Effect of Imperfections and Damping on the Type of Nonlinearity of Circular Plates and Shallow Spherical Shells

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Figure 5

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