Free Vibration Analysis of Moderately Thick Rectangular Plates with Variable Thickness and Arbitrary Boundary Conditions

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="572395.fig.003a" src="https://static.hindawi.com/articles/sv/volume-2014/572395/figures/572395.fig.003a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>The 1st order</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="572395.fig.003b" src="https://static.hindawi.com/articles/sv/volume-2014/572395/figures/572395.fig.003b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>The 8th order</td></tr></table></td></tr></table>

<table>The effect of numerically truncated numbers <svg height="11.3125" id="M138" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 51.762501 11.3125" width="51.762501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> on the natural frequencies <svg height="11.425" id="M139" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 12.9875 11.425" width="12.9875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.363)"><path d="M719 146l-18 -146h-243l-5 18q2 4 17 25t24 36l25 42t26.5 52.5t21 56.5t16 65t5.5 68q0 121 -55.5 194.5t-149.5 73.5q-95 0 -150 -72t-55 -199q0 -54 18.5 -114t36.5 -94t48.5 -82.5t32.5 -51.5l-7 -18h-244l-17 146l27 1q17 -49 31.5 -62t45.5 -13h89l-21 21t-26 26.5
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</svg> for C-C-C-C boundary condition.</table>

Shock and Vibration

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Figure 3

Figure 3: Free Vibration Analysis of Moderately Thick Rectangular Plates with Variable Thickness and Arbitrary Boundary Conditions 