Influence of Non-Structural Localized Inertia on Free Vibration Response of Thin-Walled Structures by Variable Kinematic Beam Formulations

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="141982.fig.0015a" src="https://static.hindawi.com/articles/sv/volume-2014/141982/figures/141982.fig.0015a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Without localized inertia</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="141982.fig.0015b" src="https://static.hindawi.com/articles/sv/volume-2014/141982/figures/141982.fig.0015b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>With localized inertia</td></tr></table></td></tr></table>

<table>MAC values between the <svg height="10.9125" id="M230" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 16.4375 10.9125" width="16.4375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,10.862)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g><g transform="matrix(.017,-0,0,-.017,8.222,10.862)"><path d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" id="x32"></path></g>
</svg> L9 and FEM-3D models of the I-shaped beam.</table>

Shock and Vibration

fig15

Figure 15

Figure 15: Influence of Non-Structural Localized Inertia on Free Vibration Response of Thin-Walled Structures by Variable Kinematic Beam Formulations 

Figure 15 | Influence of Non-Structural Localized Inertia on Free Vibration Response of Thin-Walled Structures by Variable Kinematic Beam Formulations 